[1] P. R. Amestoy, I. S. Duff, J. Y. L'Excellent, and F.-H. Rouet. Parallel computation of entries of a-1. Technical Report TR/PA/12/116, CERFACS, Toulouse, France, 2012.
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[2] H .Calandra, S. Gratton, X. Pinel, and X. Vasseur. An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. Technical Report TR/PA/12/54, CERFACS, Toulouse, France, 2012. Revised version of TR/PA/12/2.
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[3] H. Calandra, S. Gratton, R. Lago, X. Vasseur, and L. .M. Carvalho. A deflated minimal block residual method for the solution of non-hermitian linear systems with multiple right-hand sides. Technical Report TR/PA/12/45, CERFACS, 2012.
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[4] Y .Diouane, S. Gratton, and L .N .Vicente. Globally convergent evolution strategies and cma-es. Technical Report TR/PA/12/16, CERFACS, Toulouse, France, 2012.
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[5] F. Chatelin. Computation in mind. Technical Report TR/PA/12/15, CERFACS, Toulouse, France, 2012.
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[6] S. Gratton, P. Jiránek, and X. Vasseur. Energy backward error: interpretation in numerical solution of elliptic partial differential equations and convergence of the conjugate gradient method. Technical Report TR/PA/12/3, CERFACS, Toulouse, France, 2012.
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[7] H .Calandra, S. Gratton, X. Pinel, and X. Vasseur. An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. Technical Report TR/PA/12/2, CERFACS, Toulouse, France, 2012.
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[8] S. Gratton, Ph. L. Toint, and A. Troeltzsch. Hybrid optimization algorithms. Contract Report CR/PA/11/127, CERFACS, Toulouse, France, 2011.
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[9] S. Gratton, Ph. L. Toint, and A. Troeltzsch. How much gradient noise does a gradient-based linesearch method tolerate? Technical Report TR/PA/11/126, CERFACS, Toulouse, France, 2011.
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[10] F. Chatelin. About weaving computation in 2 and 3 real dimensions. Technical Report TR/PA/11/119, CERFACS, Toulouse, France, 2011.
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[11] I. Duff. European exascale software initiative: numerical libraries, solvers and algorithms. Technical Report TR/PA/11/118, CERFACS, Toulouse, France, 2011.
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[12] H .Calandra, S. Gratton, R. Lago, X. Pinel, and X. Vasseur. Two-level preconditioned Krylov subspace methods for the solution of three-dimensional heterogeneous Helmholtz problems in seismics. Technical Report TR/PA/11/80, CERFACS, Toulouse, France, 2011.
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[13] F. Chatelin. A computational journey into the mind. Technical Report TR/PA/11/66, CERFACS, Toulouse, France, 2011.
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[14] F. Chatelin. An invitation to qualitative computing. Technical Report TR/PA/11/38, CERFACS, Toulouse, France, 2011.
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[15] F. Chatelin. On relating computation. Technical Report TR/PA/11/37, CERFACS, Toulouse, France, 2011.
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[16] K. Kaya, J. Langguth, F. Manne, and B. Uçar. Experiments on push-relabel-based maximum cardinality matching algorithms for bipartite graphs. Technical Report TR/PA/11/33, CERFACS, Toulouse, France, 2011.
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[17] F. Chatelin. Polymorphic information processing in weaving computation: An approach through cloth geometry. Technical Report TR/PA/11/27, CERFACS, Toulouse, France, 2011.
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[18] L. M. Carvalho, S. Gratton, R. Lago, and X. Vasseur. A flexible Generalized Conjugate Residual method with inner orthogonalization and deflated restarting. Technical Report TR/PA/11/26, CERFACS, Toulouse, France, 2011. Revised version of CERFACS Technical Report TR/PA/10/10.
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[19] A. Mucherino, M. Fuchs, X. Vasseur, and S. Gratton. Variable neighborhood search for robust optimization and applications to aerodynamics. Technical Report TR/PA/11/25, CERFACS, Toulouse, France, 2011.
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[20] S. Gratton, P. Jiránek, and D. Titley-Peloquin. On the accuracy of the Karlson-Waldén's estimate of the backward error for linear least squares problems. Technical Report TR/PA/11/19, CERFACS, Toulouse, France, 2011.
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[21] S. Gratton and J. Tshimanga. The exact condition number of the truncated singular value solution of a linear ill-posed problem. Technical Report TR/PA/11/18, CERFACS, Toulouse, France, 2011.
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[22] H .Calandra, J. Langou, S. Gratton, X. Pinel, and X. Vasseur. Flexible variants of block restarted GMRES methods with application to geophysics. Technical Report TR/PA/11/14, CERFACS, Toulouse, France, 2011.
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[23] K. Kaya and B. Uçar. Constructing elimination trees for sparse unsymmetric matrices. Technical Report TR/PA/11/13, CERFACS, Toulouse, France, 2011.
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[24] S. Gratton, Ph. L. Toint, and J. Tshimanga. Range-space variants and inexact matrix-vector products in Krylov solvers for linear systems arising from inverse problems. Technical Report TR/PA/10/141, CERFACS, Toulouse, France, 2010.
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[25] S. Gratton, S. Gurol, and Ph. L. Toint. Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. Technical Report TR/PA/10/136, CERFACS, Toulouse, France, 2010.
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[26] F. Chatelin. A computational journey into nonlinearity. Technical Report TR/PA/10/109, CERFACS, Toulouse, France, 2010. The report TR/PA/10/38 under the same title represents an extended abstract for the present full report.
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[27] I. S. Duff and K. Kaya. Preconditioners based on strong components. Technical Report TR/PA/10/97, CERFACS, Toulouse, France, 2010.
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[28] M. Fuchs and A. Neumaier. Optimization in latent class analysis. Technical Report TR/PA/10/89, CERFACS, Toulouse, France, 2010.
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[29] I. S. Duff, K. Kaya, and B. Ucar. Design, implementation, and analysis of maximum transversal algorithms. Technical Report TR/PA/10/76, CERFACS, Toulouse, France, 2010.
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[30] S. Gratton, Ph. L. Toint, and A. Troeltzsch. An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Technical Report TR/PA/10/70, CERFACS, Toulouse, France, 2010.
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[31] P. R. Amestoy, I. S. Duff, Y. Robert, F.-H. Rouet, and B. Uçar. On computing inverse entries of a sparse matrix in an out-of-core environment. Technical Report TR/PA/10/59, CERFACS, Toulouse, France, 2010.
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[32] S. Gratton and J. Tshimanga. An observation-space formulation of variational assimilation using a restricted preconditioned conjugate gradient algorithm. Technical Report TR/PA/10/50, CERFACS, Toulouse, France, 2010.
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[33] Fr. Chatelin. Numerical information processing under the global rule expressed by the euler-riemann zeta function defined in the complex plane. Technical Report TR/PA/10/49, CERFACS, Toulouse, France, 2010.
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[34] S. Gratton, P. Jiránek, and X. Vasseur. Minimizing the backward error in the energy norm with conjugate gradients. Technical Report TR/PA/10/45, CERFACS, Toulouse, France, 2010.
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[35] F. Chatelin. A computational journey into nonlinearity. Technical Report TR/PA/10/38, CERFACS, Toulouse, France, 2010. Abstract for invited talk at Unconventional Computing 2010,Tokyo Univ.,21-25 June,2010.
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[36] C. S. Calude and F. Chatelin. A dialogue about qualitative computing. Technical Report TR/PA/10/37, CERFACS, Toulouse, France, 2010. To appear in Bull.EATCS,June 2010.
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[37] F. Domes, M. Fuchs, and H. Schichl. The optimization test environment. Technical Report TR/PA/10/15, CERFACS, Toulouse, France, 2010.
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[38] X. Guo and I. S. Duff. Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations. Technical Report TR/PA/10/14, CERFACS, Toulouse, France, 2010.
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[39] L. M. Carvalho, S. Gratton, R. Lago, and X. Vasseur. A flexible Generalized Conjugate Residual method with inner orthogonalization and deflated restarting. Technical Report TR/PA/10/10, CERFACS, Toulouse, France, 2010.
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[40] M. Fuchs and A. Neumaier. A splitting technique for discrete search based on convex relaxation. Technical Report TR/PA/10/05, CERFACS, Toulouse, France, 2010.
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[41] S. Gratton and Ph. L. Toint. Approximate invariant subspaces and quasi-newton optimization methods. Technical Report TR/PA/09/165, CERFACS, Toulouse, France, 2009.
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[42] L. Giraud, S. Gratton, X. Pinel, and X. Vasseur. Flexible GMRES with deflated restarting. Technical Report TR/PA/09/111, CERFACS, Toulouse, France, 2009. Revised and extended version of TR/PA/08/128.
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[43] M. Fuchs. Simulation based uncertainty handling with polyhedral clouds. Technical Report TR/PA/09/100, CERFACS, Toulouse, France, 2009.
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[44] S. Gratton, A. Sartenaer, and J. Tshimanga. On a class of limited memory preconditioners for large scale linear systems with multiple right hand sides. Technical Report TR/PA/09/99, CERFACS, Toulouse, France, 2009.
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[45] S. Gratton, P. Laloyaux, A. Sartenaer, and J. Tshimanga. A reduced and limited memory preconditioned approach for the 4dvar problem in data assimilation. Technical Report TR/PA/09/98, CERFACS, Toulouse, France, 2009.
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[46] S. Gratton, M. Mouffe, and Ph. L. Toint. Stopping rules and backward error analysis for bound-constrained optimization. Technical Report TR/PA/09/95, CERFACS, Toulouse, France, 2009.
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[47] P. Jiránek and D. Titley-Peloquin. Estimating the minimal backward error in LSQR. Technical Report TR/PA/09/77, CERFACS, Toulouse, France, 2009.
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[48] I. S. Duff and D. Mijuca. On accurate and time efficient solution of primal-mixed finite-element equations in multiscale solid mechanics. Technical Report TR/PA/09/67, CERFACS, Toulouse, France, 2009. Also appeared as Report RAL-TR-2009-013.
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[49] I. S. Duff and B. Uçar. Combinatorial problems in solving linear systems. Technical Report TR/PA/09/60, CERFACS, Toulouse, France, 2009.
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[50] I. S. Duff and B. Uçar. On the block triangular form of symmetric matrices. Technical Report TR/PA/09/57, CERFACS, Toulouse, France, 2009. Revised and extended version of TR/PA/08/26.
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[51] Ph. Avery, Ch. Farhat, and U. Hetmaniuk. A Padé-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver. Technical Report TR/PA/09/53, CERFACS, Toulouse, France, 2009.
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[52] D. Ghosh, Ph. Avery, and Ch. Farhat. A FETI-preconditioned congugate gradient method for large-scale stochastic finite element problems. Technical Report TR/PA/09/52, CERFACS, Toulouse, France, 2009.
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[53] Ph. Avery and Ch. Farhat. The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces. Technical Report TR/PA/09/51, CERFACS, Toulouse, France, 2009. Preliminary version of an article published in Computer Methods in Applied Mechanics and Engineering, vol. 198, number 21-26, pp 1673-1683.
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[54] M. Mouffe, S. Gratton, A. Sartenaer, Ph. L. Toint, and D. Tomanos. Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Technical Report TR/PA/09/48, CERFACS, Toulouse, France, 2009.
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[55] M. Baboulin and S. Gratton. Using dual techniques to derive componentwise and mixed condition numbers for a linear functional of a linear least squares solution. Technical Report TR/PA/09/47, CERFACS, Toulouse, France, 2009.
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[56] M. Baboulin, J. Dongarra, S. Gratton, and J. Langou. Computing the conditioning of the components of a linear least squares solution. Technical Report TR/PA/09/46, CERFACS, Toulouse, France, 2009.
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[57] M. Fares, S. Gratton, and Ph. L. Toint. SVD-tail: a new linear-sampling reconstruction method for inverse scattering problems. Technical Report TR/PA/09/45, CERFACS, Toulouse, France, 2009.
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[58] L. Giraud, S. Gratton, X. Pinel, and X. Vasseur. Flexible GMRES with deflated restarting. Technical Report TR/PA/08/128, CERFACS, Toulouse, France, 2008.
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[59] P. Jiranek and M. Rozloznik. Adaptive version of simpler gmres. Technical Report TR/PA/08/101, CERFACS, Toulouse, France, 2008.
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[60] F. Chaitin-Chatelin and M. Ahmadnasab. Some contributions of homotopic deviation to the theory of matrix pencils. Technical Report TR/PA/08/90, CERFACS, Toulouse, France, 2008.
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[61] P. R. Amestoy, I. S. Duff, A. Guermouche, and Tz. Slavova. Analysis of the solution phase of a parallel multifrontal approach. Technical Report TR/PA/08/82, CERFACS, Toulouse, France, 2008.
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[62] M. Ahmadnasab. A study of round-off propagation in massively parallel codes for Large Eddy Simulation (LES). Contract Report CR/PA/08/75, CERFACS, Toulouse, France, 2008.
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[63] P. R. Amestoy, I. S. Duff, D. Ruiz, and B. Ucar. A parallel matrix scaling algorithm. Technical Report TR/PA/08/52, CERFACS, Toulouse, France, 2008.
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[64] I. S. Duff and B. Ucar. On the block triangular form of symmetric matrices. Technical Report TR/PA/08/26, CERFACS, Toulouse, France, 2008.
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[65] I. S. Duff and D. Mijuca. On the efficient solution of mixed finite element equations in geometrically multiscale thermal stress analysis. Technical Report TR/PA/08/25, CERFACS, Toulouse, France, 2008. Also appeared as Technical Report RAL-TR-2008-009 from Rutherford Appleton Laboratory, Oxfordshire.
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[66] Z. Z. Bai, I. S. Duff, and J. F. Yin. Numerical study on incomplete orthogonal factorization preconditioners. Technical Report TR/PA/08/24, CERFACS, Toulouse, France, 2008. Also appeared as Technical Report RAL-TR-2008-010 from Rutherford Appleton Laboratory, Oxfordshire.
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[67] M. Ahmadnasab. An order reduction method for computing the finite eigenvalues of regular matrix pencils. Technical Report TR/PA/08/23, CERFACS, Toulouse, France, 2008.
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[68] F. Chaitin-Chatelin. The dynamics of spectral analysis by homotopic deviation. part II: The evolution field. Technical Report TR/PA/08/03, CERFACS, Toulouse, France, 2008.
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[69] S. Gratton A. Troeltzsch and Ph. L. Toint. Benchmarking of bound-constrained optimization software. Working Notes WN/PA/07/143, CERFACS, Toulouse, France, 2007.
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[70] F. Bastin, V. Malmedy, M. Mouffe, Ph. L. Toint, and D. Tomanos. A retrospective trust-region method for unconstrained optiomization. Technical Report TR/PA/07/136, CERFACS, Toulouse, France, 2007.
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[71] F. Chaitin-Chatelin. The dynamics of spectral analysis by homotopic deviation. part I : The spectral field. Technical Report TR/PA/07/118, CERFACS, Toulouse, France, 2007.
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[72] M. Ahmadnasab and F. Chaitin-Chatelin. Matrix pencils under homotopic deviation theory. Technical Report TR/PA/07/108, CERFACS, Toulouse, France, 2007.
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[73] M. Baboulin, J. Dongarra, S. Gratton, and J. Langou. Computing the conditioning of the components of a linear least squares solution. Technical Report TR/PA/07/101, CERFACS, Toulouse, France, 2007. Also appeared as LAPACK Working Note 193.
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[74] B. Ucar. Heuristics for a matrix symmetrization problem. Technical Report TR/PA/07/91, CERFACS, Toulouse, France, 2007.
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[75] L. Giraud, E. Ng, Y. Saad, and W. P. Tang, editors. Proceedings of the International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications, number TR/PA/07/71, 2007. Registered as ENSEEIHT-IRIT RT/APO/07/10, also CERFACS TR/PA/07/71.
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[76] F. Chaitin-Chatelin. About an organic logic ruling the continuous evolution of SVD measurement with Dickson hypercomplex numbers. Technical Report TR/PA/07/55, CERFACS, Toulouse, France, 2007.
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[77] F. Chaitin-Chatelin. Computing beyond classical logic : SVD computation in nonassociative Dickson algebras. Technical Report TR/PA/07/54, CERFACS, Toulouse, France, 2007.
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[78] L. Giraud, S. Gratton, and X. Pinel. Classical and flexible krylov subspace methods with deflated restarting for the solution of electromagnetics problems with impedance boundary conditions. Contract Report CR/PA/07/53, CERFACS, Toulouse, France, 2007. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/09.
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[79] P. Amestoy, I. S. Duff, A. Guermouche, and Tz. Slavova. Analysis of the out-of-core solution phase of a parallel multifrontal approach. Technical Report TR/PA/07/48, CERFACS, Toulouse, France, 2007.
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[80] S. Gratton, M. Mouffe, Ph. L. Toint, and M. Weber-Mendonça. Global convergence of a recursive trust-region method in infinite norm for bound-constrained optimization. Technical Report TR/PA/07/42, CERFACS, Toulouse, France, 2007.
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[81] M. Garcia, S. Jan, and M. Masmoudi. Neural networks: low-memory training and regularizatio techniques. Technical Report TR/PA/07/25, CERFACS, Toulouse, France, 2007.
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[82] B. Ucar and C. Aykanat. Partitioning sparse matrices for parallel preconditioned iterative methods. Technical Report TR/PA/07/23, CERFACS, Toulouse, France, 2007. Preliminary version of an article published in SIAM Journal on Scientific Computing, vol. 29, number 4, pp 1683-1709.
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[83] L. Giraud, A. Haidar, and L. T. Watson. Parallel scalability study of three dimensional additive Schwarz preconditioners in non-overlapping domain decomposition. Technical Report TR/PA/07/05, CERFACS, Toulouse, France, 2007. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/01.
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[84] I. S. Duff. The design and use of a sparse direct solver for skew symetric matrices. Technical Report TR/PA/07/04, CERFACS, Toulouse, France, 2007.
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[85] I. S. Duff, S. Gratton, X. Pinel, and X. Vasseur. Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics. Technical Report TR/PA/07/03, CERFACS, Toulouse, France, 2007. Preliminary version of an article published in International Journal of Computer Mathematics, vol. 84-8, pp 1167-1181.
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[86] The Parallel Algorithms Project. Scientific Report for 2006. Technical Report TR/PA/06/107, CERFACS, Toulouse, France, 2006.
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[87] F. Bastin, C. Cirillo, and Ph. L. Toint. Estimating mixed logit with non-parametric random variables. Technical Report TR/PA/06/87, CERFACS, Toulouse, France, 2006.
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[88] L. Giraud, A. Haidar, and L. T. Watson. Mixed-precision preconditioners in parallel domain decomposition solvers. Technical Report TR/PA/06/84, CERFACS, Toulouse, France, 2006. Also appeared as IRIT Technical report ENSEEIHT-IRIT RT/APO/06/08.
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[89] M. Baboulin, L. Giraud, and S. Gratton. Solution of an inverse problem for the GOCE satellite mission. Contract Report CR/PA/06/78, CERFACS, Toulouse, France, 2006.
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[90] M. Baboulin, L. Giraud, S. Gratton, and J. Langou. Parallel tools for solving incremental dense least squares problems. application to space geodesy. Technical Report TR/PA/06/63, CERFACS, Toulouse, France, 2006. Also available as LAPACK Working Note 179.
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[91] P. A. Knight. The Sinkhorn-Knopp algorithm: Convergence and applications. Technical Report TR/PA/06/42, CERFACS, Toulouse, France, 2006.
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[92] S. Gratton, A. Sartenaer, and Ph. L. Toint. Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid. Technical Report TR/PA/06/34, CERFACS, Toulouse, France, 2006.
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[93] S. Gratton, A. Sartenaer, and Ph. L. Toint. Numerical experience with a recursive trust-region method for multilevel nonlinear optimization. Technical Report TR/PA/06/33, CERFACS, Toulouse, France, 2006.
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[94] S. Gratton, A. Sartenaer, and Ph. L. Toint. Recursive trust-region methods for multiscale nonlinear optimization. Technical Report TR/PA/06/32, CERFACS, Toulouse, France, 2006.
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[95] A. EL Ghazi, S. EL Hajji, L. Giraud, and S. Gratton. A short note on backward errors for the common eigenvector problem. Technical Report TR/PA/06/13, CERFACS, Toulouse, France, 2006.
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[96] O. Boiteau, F. Huelsemann, and X. Vasseur. Comparison of the linear algebraic solvers Mumps and the multifrontal solver of Code ASTER. Contract Report CR/PA/06/11, CERFACS, Toulouse, France, 2006.
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[97] A. S. Lawless, S. Gratton, and N. K. Nichols. An investigation of incremental 4D-Var using non-tangent linear models. Technical Report TR/PA/06/10, CERFACS, Toulouse, France, 2006.
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[98] V. Frayssé, L. Giraud, and S. Gratton. A set of flexible GMRES routines for real and complex arithmetics on high performance computers. Technical Report TR/PA/06/09, CERFACS, Toulouse, France, 2006. This report supersedes TR/PA/98/07.
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[99] L. Giraud, S. Gratton, and J. Langou. Convergence in backward error of relaxed GMRES. Technical Report TR/PA/06/08, CERFACS, Toulouse, France, 2006. This report supersedes TR/PA/04/132.
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[100] F. Chaitin-Chatelin. Calcul algébrique non linéaire dans les algèbres de Dickson. Technical Report TR/PA/06/07, CERFACS, Toulouse, France, 2006.
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[101] D. Ettema, F. Bastin, J. Polak, and O. Ashiru. An error-components framework for joint choice models of activity timing and duration. Technical Report TR/PA/06/02, CERFACS, Toulouse, France, 2006.
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[102] The Parallel Algorithms Project. Scientific Report for 2005. Technical Report TR/PA/05/110, CERFACS, Toulouse, France, 2005.
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[103] M. Baboulin, L. Giraud, and S. Gratton. GOCE, méthode de résolution inverse pour le champ de gravité. Contract Report CR/PA/05/88, CERFACS, Toulouse, France, 2005.
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[104] F. Chaitin-Chatelin. Inductive multiplication in Dickson algebras. Technical Report TR/PA/05/56, CERFACS, Toulouse, France, 2005.
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[105] G. Alléon, S. Champagneux, G. Chevalier, L. Giraud, and G. Sylvand. Parallel distributed numerical simulations in aeronautic applications. Technical Report TR/CFD-PA/05/44, CERFACS, Toulouse, France, 2005.
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[106] M. Baboulin, L. Giraud, S. Gratton, and J. Langou. A distributed packed storage for large parallel calculations. Technical Report TR/PA/05/30, CERFACS, Toulouse, France, 2005.
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[107] I. S. Duff and S. Pralet. Towards a stable static pivoting strategy for the sequential and parallel solution of sparse symmetric indefinite systems. Technical Report TR/PA/05/26, CERFACS, Toulouse, France, 2005. Also available as RAL Report RAL-TR-2005-007 and IRIT Report RT/TLSE/05/08.
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[108] L. Giraud, S. Gratton, and E. Martin. Incremental spectral preconditioners for sequences of linear systems. Technical Report TR/PA/05/17, CERFACS, Toulouse, France, 2005. Preliminary version of an article published in Applied Numerical Mathematics, vol. 57, nber 11-12, pp 1164-1180.
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[109] The Parallel Algorithms Project. Scientific Report for 2004. Technical Report TR/PA/04/141, CERFACS, Toulouse, France, 2004.
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[110] F. S. V. Bazan. Nonnormality estimation in projection-type system realization methods. Technical Report TR/PA/05/07, CERFACS, Toulouse, France, 2005.
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[111] M. Ahmadnasab, F. Chatin-Chatelin, and N. Megrez. Homotopic deviation in the light of algebra. Technical Report TR/PA/05/05, CERFACS, Toulouse, France, 2005.
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[112] F. Chaitin-Chatelin. On Lidskii's algorithm to quantify the first order terms in the asymptotics of a defective eigenvalue. Part II. Technical Report TR/PA/05/04, CERFACS, Toulouse, France, 2005.
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[113] P. Amestoy, A. Guermouche, J. Y. L'Excellent, and S. Pralet. Hybrid scheduling for the parallel solution of linear systems. Technical Report TR/PA/04/140, CERFACS, Toulouse, France, 2004. Also available as INRIA report RR-5404 and as ENSEEIHT-IRIT technical report RT/APO/04/03.
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[114] P. Amestoy, X. S. Li, and S. Pralet. Unsymmetric ordering using a constrained Markowitz scheme. Technical Report TR/PA/04/137, CERFACS, Toulouse, France, 2004.
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[115] J. van den Eshof, G. L. G. Sleijpen, and M. B. van Gijzen. Iterative linear system solvers with approximate matrix-vector products. Technical Report TR/PA/04/133, CERFACS, Toulouse, France, 2004. To appear in the proceedings of the Third International Workshop on Numerical Analysis and Lattice QC.
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[116] L. Giraud, S. Gratton, and J. Langou. Convergence in backward error of relaxed GMRES. Technical Report TR/PA/04/132, CERFACS, Toulouse, France, 2004.
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[117] F. Chaitin-Chatelin. On Lidskii's algorithm to quantify the first order terms in the asymptotics of a defective eigenvalue. Part I. Technical Report TR/PA/04/129, CERFACS, Toulouse, France, 2004.
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[118] I. S. Duff. Combining direct and iterative methods for the solution of large systems in different application areas. Technical Report TR/PA/04/128, CERFACS, Toulouse, France, 2004.
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[119] I. S. Duff, S. Riyavong, and M. B. van Gijzen. Parallel preconditioners based on partitioning sparse matrices. Technical Report TR/PA/04/114, CERFACS, Toulouse, France, 2004.
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[120] M. Arioli, M. Baboulin, and S. Gratton. Partial condition number for linear least squares problems. Technical Report TR/PA/04/111, CERFACS, Toulouse, France, 2004.
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[121] L. Giraud and S. Gratton. On the sensitivity of some spectral preconditioners. Technical Report TR/PA/04/108, CERFACS, Toulouse, France, 2004.
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[122] F. Chaitin-Chatelin. Beyond ideals in the Dickson ring of integral octonions. Technical Report TR/PA/04/96, CERFACS, Toulouse, France, 2004.
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[123] D. Loghin, M. B. van Gijzen, and E. Jonkers. Bounds on the eigenvalue range and on the field of values of non-hermitian and indefinite finite element matrices. Technical Report TR/PA/04/86, CERFACS, Toulouse, France, 2004.
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[124] L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof. Rounding error analysis of the classical Gram-Schmidt orthogonalization process. Technical Report TR/PA/04/77, CERFACS, Toulouse, France, 2004. Preliminary version of the article published in Numerische Mathematik, vol. 101, nber 1, pp. 87-100, 2005.
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[125] G. L. G. Sleijpen, J. van den Eshof, and M. B. van Gijzen. Restarted GMRES with inexact matrix-vector products. Technical Report TR/PA/04/75, CERFACS, Toulouse, France, 2004. Preliminary version of the article published in Z. Li et al. (eds), Proceedings of NAA2004, Rousse Bulgaria, LNCS 3401, pp. 494-501.
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[126] F. S. V. Bazan. Matrix polynomials with partially prescribed eigenstructure. Technical Report TR/PA/04/64, CERFACS, Toulouse, France, 2004.
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[127] I. S. Duff and S. Pralet. Strategies for scaling and pivoting for sparse symmetric indefinite problems. Technical Report TR/PA/04/59, CERFACS, Toulouse, France, 2004. Preliminary version of the article published in SIAM J. Matrix Analysis and Applications, vol. 27, nber 27, pp. 313-340.
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[128] L. Giraud, J. Langou, and G. Sylvand. On the parallel solution of large industrial wave propagation problems. Technical Report TR/PA/04/52, CERFACS, Toulouse, France, 2004.
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[129] D. Loghin. Boundary preconditioning for mixed finite-element discretizations of fourth-order elliptic problems. Technical Report TR/PA/04/43, CERFACS, Toulouse, France, 2004.
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[130] D. Loghin, D. Ruiz, and A. Touhami. Adaptive preconditioners for nonlinear systems of equations. Technical Report TR/PA/04/42, CERFACS, Toulouse, France, 2004.
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[131] L. Giraud, D. Ruiz, and A. Touhami. A comparative study of iterative solvers exploiting spectral information for SPD systems. Technical Report TR/PA/04/40, CERFACS, Toulouse, France, 2004.
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[132] L. Giraud, S. Gratton, and J. Langou. A note on relaxed and flexible GMRES. Technical Report TR/PA/04/41, CERFACS, Toulouse, France, 2004.
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[133] B. Carpentieri, L. Giraud, and S. Gratton. Additive and multiplicative two-level spectral preconditioning for general linear systems. Technical Report TR/PA/04/38, CERFACS, Toulouse, France, 2004.
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[134] F. Chaitin-Chatelin. The dynamics of matrix coupling with an application to Krylov methods. Technical Report TR/PA/04/29, CERFACS, Toulouse, France, 2004. Preliminary version of the article published in Z. Li et al. (eds), Proceedings of NAA 2004, pp. 14-24, Springer Verlag LNCS, vol. 3401, 2005.
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[135] I . S. Duff and S. Pralet. Experiments in preprocessing and scaling symmetric problems for multifrontal solutions. Working Notes WN/PA/04/17, CERFACS, Toulouse, France, 2004.
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[136] M. Baboulin, L. Giraud, and S. Gratton. A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems. Technical Report TR/PA/04/16, CERFACS, Toulouse, France, 2004. Preliminary version of an article published in Int. J. High Speed Computing, vol. 19, nber 4, pp 353-363, 2005.
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[137] F. Chaitin-Chatelin and M. B. van Gijzen. Homotopic deviation with an application to computational acoustics. Technical Report TR/PA/04/05, CERFACS, Toulouse, France, 2004.
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[138] The Parallel Algorithms Project. Scientific Report for 2003. Technical Report TR/PA/03/135, CERFACS, Toulouse, France, 2003.
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[139] S. Riyavong. Experiments on parallel matrix-vector product. Working Notes WN/PA/03/127, CERFACS, Toulouse, France, 2003.
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[140] G. Alléon, B. Carpentieri, I. S. Duff, L. Giraud, J. Langou, E. Martin, and G. Sylvand. Efficient parallel iterative solvers for the solution of large dense linear systems arising from the boundary element method in electromagnetism. Technical Report TR/PA/03/65, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published electronically in the proceedings of the international conference on supercomputing in nuclear application, Paris, 2003.
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[141] B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand. Combining fast multipole techniques and an approximate inverse preconditioner for large parallel electromagnetics calculations. Technical Report TR/PA/03/77, CERFACS, Toulouse, France, 2003. Preliminary version of the article published in SISC, vol. 27, nber 3, pp 774-792.
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[142] F. Chaitin-Chatelin. Computing beyond analyticity. Matrix algorithms in Inexact and Uncertain computing. Technical Report TR/PA/03/110, CERFACS, Toulouse, France, 2003.
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[143] I. S. Duff, L. Giraud, J. Langou, and E. Martin. Using spectral low rank preconditioners for large electromagnetic calculations. Technical Report TR/PA/03/95, CERFACS, Toulouse, France, 2003. Preliminary version of the article published in IJNME, vol. 62, nber 3, pp 416-434.
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[144] F. Chaitin-Chatelin. Elements of Hypercomputations on R and Z2 with the Dickson-Albert inductive process. Technical Report TR/PA/03/34, CERFACS, Toulouse, France, 2003.
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[145] S. Riyavong. Experiments on sparse matrix partitioning. Working Notes WN/PA/03/32, CERFACS, Toulouse, France, 2003.
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[146] H. C. Elman, D. Loghin, and A. J. Wathen. Preconditioning techniques for Newton's method for the incompressible Navier-Stokes equations. Technical Report TR/PA/03/31, CERFACS, Toulouse, France, 2003.
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[147] J. van den Eshof, G. L. G. Sleijpen, and M .B. van Gijzen. Relaxation strategies for nested Krylov methods. Technical Report TR/PA/03/27, CERFACS, Toulouse, France, 2003.
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[148] L. Giraud, J. Langou, and M. Rozlozník. On the loss of orthogonality in the Gram-Schmidt orthogonalization process. Technical Report TR/PA/03/25, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in Computer and Mathematics with Applications, vol. 50, pp 1069-1075, 2005.
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[149] M. Arioli, D. Loghin, and A. J. Wathen. Stopping criteria for iterations in finite element methods. Technical Report TR/PA/03/21, CERFACS, Toulouse, France, 2003. Preliminary versin of an article published in Numerische Mathematik, vol. 99, issue 2, pp 381-410, 2005.
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[150] F. Chaitin-Chatelin. The Arnoldi method in the light of Homotopic Deviation theory. Technical Report TR/PA/03/15, CERFACS, Toulouse, France, 2003.
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[151] P. R. Amestoy, I. S. Duff, J. Y. L'Excellent, and X. S. Li. Impact of the implementation of MPI point-to-point communications on the performance of two general sparse solvers. Technical Report TR/PA/03/14, CERFACS, Toulouse, France, 2003. Various versions have appeared as technical reports RT/APO/01/4 from ENSEEIHT-IRIT, Toulouse, RR-4372 from INRIA, Lyon, and LBNL-48968 from Lawrence Berkeley National Laboratory, California. Preliminary version of the article published in Parallel Computing, vol. 29, nber 7, pp 833-847, 2003.
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[152] The Parallel Algorithms Project. Scientific Report for 2002. Technical Report TR/PA/02/124, CERFACS, Toulouse, France, 2002.
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[153] L. Giraud, S. Gratton, and J. Langou. A reorthogonalization procedure for modified Gram-Schmidt algorithm based on a rank-k update. Technical Report TR/PA/03/11, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in SIMAX, vol. 25 (4), p. 1163-1177, 2004.
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[154] M. B. van Gijzen. Two level parallelism in a stream-function model for global ocean circulation. Technical Report TR/PA/03/09, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in the proceedings of Euro-Par2003, Lecture Notes in Computer Science 2790, pp. 820-829, 2003.
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[155] F. Chaitin-Chatelin. On a recursive hierarchy for numbers algorithmically emerging from processing binary sequences. Technical Report TR/PA/03/08, CERFACS, Toulouse, France, 2003.
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[156] P. Amestoy, I. S. Duff, S. Pralet, and C. Vömel. Adapting a parallel sparse direct solver to SMP architectures. Technical Report TR/PA/03/05, CERFACS, Toulouse, France, 2003. Preliminary version of the article published in Parallel Computing, special issue on Parallel and Distributed Scientific and Engineering Computing, vol. 29, nber 11-12, pp 1645-1668, 2003.
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[157] F. Chaitin-Chatelin and M. B. van Gijzen. Homotopic deviation: an example in acoustics. Technical Report TR/PA/03/04, CERFACS, Toulouse, France, 2003.
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[158] V. Frayssé, L. Giraud, S. Gratton, and J. Langou. A set of GMRES routines for real and complex arithmetics on high performance computers. Technical Report TR/PA/03/03, CERFACS, Toulouse, France, 2003.
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[159] L. Giraud and M. B. van Gijzen. Large scale acoustic simulations on clusters of SMPs. Technical Report TR/PA/02/116, CERFACS, Toulouse, France, 2002. Preliminary version of the article published in the proceedings book: Integral Methods in Science and Engineering, of the IMSE2002 conference, pp 61-66.
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[160] L. Giraud, A. Marrocco, and J.-C. Rioual. Iterative versus direct parallel substructuring methods in semiconductor device modeling. Technical Report TR/PA/02/114, CERFACS, Toulouse, France, 2002. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 12, nber 1, pp 33-53, 2005.
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[161] F. Chaitin-Chatelin. About Singularities in Inexact Computing. Technical Report TR/PA/02/106, CERFACS, Toulouse, France, 2002. Erratum : p.2, line 14, read 'associated with eigenvalues non equal to lambda'.
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[162] Patrick. R. Amestoy, I. S. Duff, and C. Vömel. Task scheduling in an asynchronous distributed memory multifrontal solver. Technical Report TR/PA/02/105, CERFACS, Toulouse, France, 2002. Submitted to SIAM Journal of Matrix Analysis and Applications.
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[163] R. Durdos. Krylov solvers for large symmetric dense complex linear systems in electromagnetism: some numerical experiments. Working Notes WN/PA/02/97, CERFACS, Toulouse, France, 2002.
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[164] F. Chaitin-Chatelin and A. N. Zaoui. Hypercomputation on {0,1}. Technical Report TR/PA/02/73, CERFACS, Toulouse, France, 2002. Erratum : throughout Section 6.2 and in Figure 6.1, read ' S(e,e)=O '.
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[165] F. Chaitin-Chatelin and E. Traviesas. Qualitative Computing. Technical Report TR/PA/02/58, CERFACS, Toulouse, France, 2002. Preliminary version of the Chapter 5 published in the book: Accuracy and Reliability in Scientific Computing (B. Einarsson ed.), pp. 77-92, SIAM 2005.
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[166] F. Chaitin-Chatelin and E. Traviesas. PRECISE and the reliability of Numerical Software. Technical Report TR/PA/02/57, CERFACS, Toulouse, France, 2002. Preliminary version of the Chapter 6 published in the book: Accuracy and Reliability in Scientific Computing (B. Einarsson ed.), pp. 95-108, SIAM 2005.
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[167] F. Chaitin-Chatelin, T. Meskauskas, and M. van Gijzen. Itérations emboîtées pour la méthode de la puissance avec accélération de Tchebycheff en neutronique. Contract Report CR/PA/02/56, CERFACS, Toulouse, France, 2002.
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[168] B. Carpentieri, I. S. Duff, and L. Giraud. A class of spectral two-level preconditioners. Technical Report TR/PA/02/55, CERFACS, Toulouse, France, 2002. Also Technical Report RAL-TR-2002-020. Preliminary version of the article published in SIAM Journal on Scientific Computing, vol. 25, nber 2, pp. 749-765, 2003.
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[169] L. Giraud and J. Langou. Another proof for modified Gram-Schmidt with reorthogonalization. Working Notes WN/PA/02/53, CERFACS, Toulouse, France, 2002.
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[170] L. Giraud and J. Langou. Robust selective Gram-Schmidt reorthogonalization. Technical Report TR/PA/02/52, CERFACS, Toulouse, France, 2002. Preliminary version of the article published in SIAM Journal on Scientific Computing, vol. 25, nber 2, pp. 417-441, 2003.
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[171] C. Bousquet and C. Daniel. Complex version and validation of MUMPS, Multifrontal Massively Parallel Solver. Working Notes WN/PA/02/34, CERFACS, Toulouse, France, 2002. Mémoire de Maîtrise Ingénierie Mathématique, UPS III.
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[172] L. Giraud, J. Langou, and M. Rozlozník. On the round-off error analysis of the Gram-Schmidt algorithm with reorthogonalization. Technical Report TR/PA/02/33, CERFACS, Toulouse, France, 2002.
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[173] F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui. Hypercomplex division in the presence of zero divisors on R and Z2. Technical Report TR/PA/02/29, CERFACS, Toulouse, France, 2002.
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[174] G. Richard. Coupling MUMPS and ordering software. Working Notes WN/PA/02/24, CERFACS, Toulouse, France, 2002.
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[175] N. I. M. Gould, D. Orban, and Ph. L. Toint. General SifDec documentation. Technical Report TR/PA/02/14, CERFACS, Toulouse, France, 2002.
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[176] N. I. M. Gould, D. Orban, and Ph. L. Toint. General CUTEr documentation. Technical Report TR/PA/02/13, CERFACS, Toulouse, France, 2002.
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[177] John R. Gilbert and Laura Grigori. A note on the column elimination tree. Technical Report TR/PA/01/104, CERFACS, Toulouse, France, 2001.
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[178] The Parallel Algorithms Project. Scientific Report for 2001. Technical Report TR/PA/01/105, CERFACS, Toulouse, France, 2001.
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[179] F. Chaitin-Chatelin and T. Meskauskas. Inner-outer ierations for mode solvers in structural mechanics: application to the Code Aster. Contract Report TR/PA/01/85, CERFACS, Toulouse, France, 2001.
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[180] F. Chaitin-Chatelin and E. Traviesas. Homotopic perturbation - Unfolding the field of singularities of a matrix by a complex parameter: a global geometric approach. Technical Report TR/PA/01/84, CERFACS, Toulouse, France, 2001.
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[181] M. Rojas and T. Steihaug. An interior-point trust-region-based method for large-scale nonnegative regularization. Technical Report TR/PA/01/11, CERFACS, Toulouse, France, 2001. Preliminary version of the article published in Inverse Problems, vol. 18, nber 5, pp 1291-1307, 2002.
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[182] C. Mandry and E. Traviesas. Convergence de la méthode d'Arnoldi en précision finie en fonction du vecteur initial. Working Note WN/PA/01/36, CERFACS, Toulouse, France, 2001.
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[183] L. Giraud, J. Koster, A. Marrocco, and J.-C. Rioual. Domain decomposition methods in semiconductor device modeling. Technical Report TR/PA/01/51, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in the proceedings of the 13th conference on Domain Decomposition Methods in Scientific Computing, 2001.
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[184] L. Giraud and J. Langou. When modified Gram-Schmidt generates a well-conditioned set of vectors. Technical Report TR/PA/01/17, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in the IMA Journal of Numerical Analysis, vol. 22, nber 4, pp 521-528,2002.
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[185] B. Carpentieri, I. S. Duff, L. Giraud, and M. Magolu monga Made. Sparse symmetric preconditioners for dense linear systems in electromagnetism. Technical Report TR/PA/01/35, CERFACS, Toulouse, France, 2001. Also Technical Report RAL-TR-2002-016. Preliminary version of the paper published in Numerical Linear Algebra and Applications, vol. 11, nber 8-9, pp 753-771, 2004.
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[186] L. Giraud. Combining shared and distributed memory programming models on clusters of symmetric multiprocessors: Some basic promising experiments. Working Note WN/PA/01/19, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in the International Journal of High Performance Computing Applications, vol. 16, nber 4, pp 425-430, 2002.
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[187] I. S. Duff and C. Vömel. The Implementation of the Sparse BLAS in Fortran 95. Technical Report TR/PA/01/27, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in ACM Trans. Math. Softw., vol. 28, nber 2, pp 268-283, 2002.
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[188] I. S. Duff, M. A. Heroux, and R. Pozo. The Sparse BLAS. Technical Report TR/PA/01/24, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in ACM Trans. Math. Softw., vol. 28, nber 2, pp 239-267, 2002.
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[189] N. I. M. Gould, D. Orban, and Ph. L. Toint. CUTEr, a constrained and unconstrained testing environment, revisited. Technical Report TR/PA/01/04, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in ACM Transactions on Mathematical Software, vol. 29, nber 4, december 2003.
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[190] L. Giraud, F. Guevara Vasquez, and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/01/03, CERFACS, Toulouse, France, 2001. Preliminary version of the article published in Numerical Linear Algebra and Applications, vol. 10, nbr 5-6, pp 467-484, 2003.
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[191] F. Chaitin-Chatelin, E. Traviesas, and A. Ilahi. Résolution géométrique d'une équation de degré 4 : Partie 1. Working Notes WN/PA/01/01, CERFACS, Toulouse, France, 2001.
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[192] A. N. Zaoui and E. Traviesas. Sur la fiabilité et la robustesse du code isabel. Technical Report TR/PA/00/76, CERFACS, Toulouse, France, 2000.
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[193] A. N. Zaoui and E. Traviesas. The hybrid eigensolver ISA to compute the r eigenvalues closest to a given complex point : A qualitative study. Technical Report TR/PA/00/13, CERFACS, Toulouse, France, 2000. 16th IMACS World Congress, Lausanne, Switzerland.
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[194] M. Rojas and D. C. Sorensen. A trust-region approach to the regularization of large-scale discrete ill-posed problems. Technical Report TR/PA/00/57, CERFACS, Toulouse, France, 2000. Preliminary version of the article published in SIAM Journal on Scientific Computing, vol. 26, nber 3, pp 1843-1861, 2002.
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[195] L. Plantié. A semi-discrete problem for the boundary layer of triple deck type (part 2). Technical Report TR/PA/00/46, CERFACS, Toulouse, France, 2000.
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[196] L. Plantié. A semi-discrete problem for the boundary layer of triple deck type (part 1). Technical Report TR/PA/00/45, CERFACS, Toulouse, France, 2000.
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[197] L. Plantié. The boundary layer problem of triple deck type. Technical Report TR/PA/00/61, CERFACS, Toulouse, France, 2000. Also in Proceedings of the Second Conference on Numerical Analysis and Applications, Rousse, Bulgaria, Springer Verlag, pp 675-683.
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[198] T. Meskauskas and F. Ivanauskas. Initial boundary-value problems for derivative nonlinear schrödinger equation. justification of two-step algorithm. Technical Report TR/PA/00/70, CERFACS, 2000.
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[199] T. Meskauskas, P. Caminal, and A. Bayes de Luna. Calculation of 1/ f noise indexes from electrocardiogram data in detection of cardiac illness. Technical Report TR/PA/00/81, CERFACS, Toulouse, France, 2000.
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[200] S. Leblond. Two direct methods for large sparse problems: Multifrontal massively parallel solver (MUMPS) and fast parallel direct solver for coarse grid problems (H. TUFO). Technical Report WN/PA/00/105, CERFACS, 2000.
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[201] F. Guevara Vasquez. Internship report on domain decomposition methods for the solution of partial differential equations. Technical Report TR/PA/00/98, CERFACS, Toulouse, France, 2000.
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[202] N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint. High Rates of Convergence of Primal-Dual Interior Point Algorithms for Nonlinear Programming. Technical Report TR/PA/00/63, CERFACS, Toulouse, France, 2000.
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[203] N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint. Componentwise fast convergence in the solution of full-rank systems of nonlinear equations. Technical Report TR/PA/00/56, CERFACS, Toulouse, France, 2000. Preliminary version of the article published in Mathematical Programming Serie B, vol. 92. nber 3, pp. 481-508, 2002.
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[204] N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint. Superlinear convergence of primal-dual interior point algorithms for nonlinear programming. Technical Report TR/PA/00/20, CERFACS, Toulouse, France, 2000. Preliminary version of the article published in SIAM J. Optimization, (2001), 11-4, pp 974-1002.
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[205] V. Frayssé and L. Giraud. A set of conjugate gradient routines for real and complex arithmetics. Technical Report TR/PA/00/47, CERFACS, Toulouse, France, 2000.
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[206] I. S. Duff, C. Vömel, and M. Youan. Implementing the Sparse BLAS in Fortran 95. Technical Report TR/PA/00/82, CERFACS, Toulouse, France, 2000.
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[207] I. S. Duff and C. Vömel. Incremental Norm Estimation for Dense and Sparse Matrices. Technical Report TR/PA/00/83, CERFACS, Toulouse, France, 2000. Preliminary version of the article published in BIT, Numerical Mathematics, Volume 42, Issue 2 (June 2002), pp. 300-322.
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[208] I. S. Duff and C. Vömel. Level 2 and Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: A Fortran 95 instantiation. Technical Report TR/PA/00/18, CERFACS, Toulouse, France, 2000.
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[209] F. Chaitin-Chatelin and E. Traviesas. PRECISE, a toolbox for assessing the quality of numerical methods and software. Technical Report TR/PA/00/12, CERFACS, Toulouse, France, 2000. Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland.
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[210] F. Chaitin-Chatelin, E. Traviesas, and L. Plantié. Understanding Krylov methods in finite precision. Technical Report TR/PA/00/40, 2000. Preliminary version of the article published in L. Vulkov et al. (eds), Proceedings of NAA 2000, pp 187-197, Springer Verlag LNCS, vol. 1988, 2000.
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[211] F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui. About real and binary algebras: the interplay between geometry and algebra. Technical Report TR/PA/00/74, CERFACS, Toulouse, France, 2000.
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[212] F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui. Computation with hypercomplex numbers. Technical Report TR/PA/00/69, CERFACS, Toulouse, France, 2000. Preliminary version of the article published in the Proceedings of 3rd World Congress of Nonlinear Analysis, vol. 47, pp. 3391-3400, 2001.
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[213] F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé. GPS Carrier Phase Ambiguity Resolution with the LAMBDA method: 1. a stability analysis 2. an exponential speed-up. Contract Report CR/PA/00/52, CERFACS, Toulouse, France, 2000.
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[214] F. Chaitin-Chatelin. Comprendre les méthodes de Krylov en précision finie : le programme du Groupe Qualitative Computing au CERFACS. Technical Report TR/PA/00/11, CERFACS, 2000.
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[215] A. Bouras and V. Frayssé. A relaxation strategy for the Arnoldi method in eigenproblems. Technical Report TR/PA/00/16, CERFACS, Toulouse, France, 2000.
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[216] A. Bouras and V. Frayssé. A relaxation strategy for inexact matrix-vector products for Krylov methods. Technical Report TR/PA/00/15, CERFACS, Toulouse, France, 2000. Submitted to SIAM Journal in Matrix Analysis and Applications.
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[217] A. Bouras, V. Frayssé, and L. Giraud. A relaxation strategy for inner-outer linear solvers in domain decomposition methods. Technical Report TR/PA/00/17, CERFACS, Toulouse, France, 2000.
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[218] A. Bouras, F. Chaitin-Chatelin, and V. Frayssé. Solveurs itératifs imbriqués. Contract Report FR/PA/00/19, CERFACS, Toulouse, France, 2000.
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[219] P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li. Performance and tuning of two distributed memory sparse solvers. Technical Report TR/PA/00/91, CERFACS, Toulouse, France, December 2000. Accepted for presentation at the Tenth SIAM Conference on Parallel Processing for Scientific Computing that will be held in Norfolk, Virginia from March 12th-14th, 2001.
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[220] P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li. Analysis and comparison of two general sparse solvers for distributed memory computers. Technical Report TR/PA/00/90, CERFACS, Toulouse, France, December 2000. Preliminary version of the article published in ACM Trans. Math. Softw., (2001), 27-4, pp. 1-33.
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[221] P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li. Analysis, tuning and comparison of two general sparse solvers for distributed memory computers. Technical Report TR/PA/00/72, CERFACS, 2000. Preliminary version of the article published in ACM Trans. Math. Softw., vol. 27, pp 338-421.
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[222] The Parallel Algorithms Project. Scientific Report for 2000. Technical Report TR/PA/01/23, CERFACS, Toulouse, France, 2001.
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[223] S. J. Wright and D. Orban. Properties of the log-barrier function on degenerate nonlinear programs. Technical Report TR/PA/99/36, CERFACS, Toulouse, France, 1999. Preliminary version of the article published in Mathematics of Operations Research, vol. 27, nber 3, pp 585-613, 2002.
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[224] V. Toumazou and E. Traviesas. A note on homotopic backward error and pseudospectra for the generalized eigenproblem. Technical Report TR/PA/99/14, CERFACS, Toulouse, France, 1999.
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[225] S. Gratton, V. Frayssé, and V. Toumazou. Structured backward error and condition number for linear systems of the type A*A x = b. Technical Report TR/PA/99/05, CERFACS, Toulouse, France, 1999. Preliminary version of the article published in BIT, vol. 40, nber 1, pp 74-83.
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[226] I. S. Duff and H. A. van der Vorst. Developments and trends in the parallel solution in linear systems. Technical Report TR/PA/99/10, CERFACS, Toulouse, France, 1999.
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[227] I. S. Duff. A brief bibliography of recent research and software for the parallel solution of large sparse linear equations. Technical Report TR/PA/99/12, CERFACS, Toulouse, France, 1999. Preliminary version of proceedings of the Computational Cattle Breeding '99 Workshop.
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[228] S. Dallakyan. A note on the visualization of multiparametric bifurcations. Technical Report TR/PA/00/07, CERFACS, Toulouse, France, 2000. Preliminary version of the article published in Computers & Graphics, vol. 24, nber 2, pp 269-270, 2000.
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[229] S. K. Dallakyan, N. S. Ananikian, and R. G. Ghulghazaryan. Thermodynamic chaos and infinitely many critical exponents in the baxter-wu model. Technical Report TR/PA/00/06, CERFACS, Toulouse, France, 2000. Submitted for publication to Physica D, cond-mat/9909289.
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[230] F. Chaitin-Chatelin, V. Toumazou, and E. Traviesas. Accuracy assessment for eigencomputations : variety of backward errors and pseudospectra. Technical Report TR/PA/99/03, CERFACS, Toulouse, France, 1999. Preliminary version of the article published in Linear Algebra with its Applications, vol 309, p. 73-83.
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[231] F. Chaitin-Chatelin, A. Harrabi, and A. Ilahi. About Hölder condition numbers and the stratification diagram for defective eigenvalues. Technical Report TR/PA/99/19, CERFACS, Toulouse, France, 1999. Preliminary version of the proceedings Mathematics and Computers in Simulation, vol. 54, pp 397-402.
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[232] F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé. An overview of Carrier Phase Differential GPS. Contract Report IR/PA/99/50, CERFACS, Toulouse, France, 1999.
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[233] F. Chaitin-Chatelin. The computing power of Geometry. Technical Report TR/PA/99/24, CERFACS, Toulouse, France, 1999. Preliminary version of the article published in D.F. Griffiths et al. (eds), Proceedings of Numerical Analysis 1999, pp 83-92, CRC Press LLC, 1999.
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[234] F. Chaitin-Chatelin. Le Sens de la Vie. Technical Report TR/PA/99/20, CERFACS, Toulouse, France, 1999.
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[235] A. R. Conn, N. I. M. Gould, D. Orban, and Ph. L. Toint. A Primal-Dual Trust-Region Algorithm for Non-Convex Nonlinear Programming. Technical Report TR/PA/99/27, CERFACS, Toulouse, France, 1999. Published in Mathematical Programming Davidon Festschrift Online First, DOI 10.1007/s101070000144, March 15, 2000.
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[236] L. M. Carvalho, L. Giraud, and G. Meurant. Local preconditioners for two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/99/38, CERFACS, Toulouse, France, 1999. Preliminary version of the article published in Numerical Linear Algebra with Applications, vol. 8, nber 4, pp 207-227, 2001.
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[237] L. M. Carvalho and L. Giraud. Parallel subdomain-based preconditioner for the Schur complement. Technical Report TR/PA/99/04, CERFACS, Toulouse, France, 1999. Preliminary version of the proceedings EUROPAR'99 Parallel Processing, 1999.
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[238] B. Carpentieri, I. S. Duff, and L. Giraud. Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Technical Report TR/PA/00/05, CERFACS, Toulouse, France, 2000. Also Technical Report RAL-TR-2000-009. Preliminary version of the article published in Numerical Linear Algebra with Applications, vol. 7, nber 7-8, pp 667-685.
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[239] B. Carpentieri, I. S. Duff, and L. Giraud. Experiments with sparse preconditioning of dense problems from electromagnetic applications. Technical Report TR/PA/00/04, CERFACS, Toulouse, France, 2000.
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[240] A. Bouras, F. Chaitin-Chatelin, V. Frayssé, and A. Ilahi. Nouvelles analyses de la méthode de la puissance. partie 1 : Etude asymptotique générale. Technical Report TR/PA/99/35, CERFACS, Toulouse, France, 1999.
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[241] P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and J. Koster. A fully asynchronous multifrontal solver using distributed dynamic scheduling. Technical Report TR/PA/99/28, CERFACS, Toulouse, France, 1999. Preliminary version of the article published in SIMAX, vol. 23, nber 1, pp 15-41, 2001.
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[242] The Parallel Algorithms Project. Scientific Report for 1999 (with images). Technical Report TR/PA/00/0b, CERFACS, Toulouse, France, 2000.
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[243] The Parallel Algorithms Project. Scientific Report for 1999 (without images). Technical Report TR/PA/00/0a, CERFACS, Toulouse, France, 2000.
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[244] S. Tissari and J. Rahola. Error analysis of a new Galerkin method to solve the forward problem in MEG and EEG using the boundary element method. Technical Report TR/PA/98/39, CERFACS, Toulouse, France, 1998. Preliminary version of the article Error analysis of a Galerkin method to solve the forward problem in MEG using the boundary element method published in Computer Methods and Programs in Biomedicine, Vol. 72, pages 209-222, 2003.
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[245] J. Rahola and S. Tissari. Iterative solution of dense linear systems arising from boundary element formulations of the biomagnetic inverse problem. Technical Report TR/PA/98/40, CERFACS, Toulouse, France, 1998. Preliminary version of the article Iterative solution of dense linear systems arising from the electrostatic integral equation in MEG published in Physics in Medicine and Biology, Vol 47, Issue 6 pages 961 - 975, 2002.
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[246] J. Rahola. Experiments on iterative methods and the fast multipole method in electromagnetic scattering calculations. Technical Report TR/PA/98/49, CERFACS, Toulouse, France, 1998.
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[247] J. Rahola. On the eigenvalue of the volume integral operator of electromagnetic scattering. Technical Report TR/PA/98/19, CERFACS, Toulouse, France, 1998.
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[248] J. Nocedal, A. Sartenaer, and C. Zhu. On the accuracy of nonlinear optimization algorithms. Technical Report TR/PA/98/52, CERFACS, Toulouse, France, 1998.
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[249] F. Mazzia. Loss of biorthogonality and linear system solvers. Technical Report TR/PA/98/10, CERFACS, Toulouse, France, 1998.
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[250] F. Mazzia and R. A. McCoy. Numerical experiments with a shifted SSOR preconditioner for symmetric matrices. Technical Report TR/PA/98/12, CERFACS, Toulouse, France, 1998.
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[251] A. Harrabi. On the approximation of pseudospectra of nonnormal operators by discretization, part II: the convection-diffusion operator. Technical Report TR/PA/98/38, CERFACS, Toulouse, France, 1998.
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[252] A. Harrabi. On the approximation of pseudospectra of nonnormal operators by discretization, part I: the first derivative operator. Technical Report TR/PA/98/37, CERFACS, Toulouse, France, 1998.
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[253] A. Harrabi. Défaut de normalité. Technical Report TR/PA/98/36, CERFACS, Toulouse, France, 1998.
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[254] S. Gratton, V. Frayssé, and V. Toumazou. On a structured backward error analysis for linear systems of the type A*A x = b. Technical Report TR/PA/98/01, CERFACS, Toulouse, France, 1998. Preliminary version of the article published in BIT, vol. 40, nber 1, pp 74-83.
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[255] V. Frayssé, L. Giraud, and H. Kharraz-Aroussi. On the influence of the orthogonalization scheme on the parallel performance of GMRES. Technical Report TR/PA/98/07, CERFACS, Toulouse, France, 1998. Preliminary version of proceeding of EUROPAR'98 Parallel Processing.
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[256] V. Frayssé and L. Giraud. Comparative study of QMR versus block QMR for J-symmetric matrices in electromagnetism applications. Technical Report TR/PA/98/11, CERFACS, Toulouse, France, 1998.
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[257] V. Frayssé, L. Giraud, and S. Gratton. A set of Flexible-GMRES routines for real and complex arithmetics. Technical Report TR/PA/98/20, CERFACS, Toulouse, France, 1998.
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[258] I. S. Duff and H. A. van der Vorst. Preconditioning and parallel preconditioning. Technical Report TR/PA/98/23, CERFACS, Toulouse, France, 1998.
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[259] I. S. Duff. Direct methods. Technical Report TR/PA/98/28, CERFACS, Toulouse, France, 1998.
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[260] H. Dai. Block bidiagonalization methods for solving nonsymmetric linear systems with multiple right-hand sides. Technical Report TR/PA/98/35, CERFACS, Toulouse, France, 1998.
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[261] H. Dai. Some developments on parameterized inverse eigenvalue problems. Technical Report TR/PA/98/34, CERFACS, Toulouse, France, 1998.
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[262] H. Dai. A numerical method for solving inverse eigenvalue problems. Technical Report TR/PA/98/33, CERFACS, Toulouse, France, 1998. Accepted for electronic publication in Mathematical Modelling and Numerical Analysis.
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[263] H. Dai. Two algorithms for symmetric linear systems with multiple right-hand sides. Technical Report TR/PA/98/17, CERFACS, Toulouse, France, 1998.
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[264] F. Chaitin-Chatelin and A. Harrabi. About definitions of pseudospectra of closed operators in Banach spaces. Technical Report TR/PA/98/08, CERFACS, Toulouse, France, 1998.
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[265] F. Chaitin-Chatelin and S. Gratton. A note on the convergence of Gauss-Newton algorithm. Technical Report TR/PA/98/27, CERFACS, Toulouse, France, 1998.
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[266] F. Chaitin-Chatelin and S. Gratton. About the distance to singularity for polynomials in one variable. Technical Report TR/PA/98/26, CERFACS, Toulouse, France, 1998.
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[267] F. Chaitin-Chatelin and S. Gratton. On the condition number associated with the polar factorization of a rectangular matrix. Technical Report TR/PA/98/25, CERFACS, Toulouse, France, 1998. Preliminary version of the article published in Numerical Linear Algebra with Applications, vol. 7, pp 337-354.
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[268] F. Chaitin-Chatelin, V. Frayssé, and S. Gratton. Traitement d'ambiguïtés entières : Rapport intermédiaire. Contract Report IR/PA/98/54, CERFACS, Toulouse, France, 1998.
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[269] F. Chaitin-Chatelin, V. Frayssé, and S. Gratton. Fiabilité des calculs en précision finie : principes et mise en oeuvre. Contract Report FR/PA/97/55, CERFACS, Toulouse, France, 1997.
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[270] F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé. On the GPS Carrier Phase Ambiguity Resolution. The LAMBDA method: an analysis of speed, efficiency and numerical robustness. Contract Report IR/PA/99/23, CERFACS, 1999.
BibTeX entry
[271] L. M. Carvalho, L. Giraud, and P. Le Tallec. Algebraic two-level preconditioners for the Schur complement method. Tech. Rep. TR/PA/98/18, CERFACS, France, 1998. Preliminary version of the paper published in SIAM SISC, vol. 22, nbr 6, pp 1987-2005, 2001.
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[272] L. H. Bezerra, C. Tomei, and R. A. McCoy. Möbius transforms and solvers for large sparse generalized nonsymmetric eigenvalue problems. Technical Report TR/PA/98/03, CERFACS, Toulouse, France, 1998. Submitted to BIT.
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[273] P. Amodio and F. Mazzia. A new approach to the backward error analysis in the LU factorization algorithm. Technical Report TR/PA/98/09, CERFACS, Toulouse, France, 1998.
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[274] P. R. Amestoy, I. S. Duff, and J.-Y. L'Excellent. Multifrontal Parallel Distributed Symmetric and Unsymmetric Solvers. Technical Report TR/PA/98/22, CERFACS, Toulouse, France, 1998. Preliminary version of the article published in Comput. Methods in Appl. Mech. Eng, vol. 184, pp 501-520.
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[275] P. R. Amestoy, I. S. Duff, and J.-Y. L'Excellent. MUMPS Multifrontal Massively Parallel Solver version 2.0. Technical Report TR/PA/98/02, CERFACS, Toulouse, France, 1998.
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[276] P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and P. Plechác. PARASOL- an integrated programming environment for parallel sparse matrix solvers. Technical Report TR/PA/98/13, CERFACS, Toulouse, France, 1998. Preliminary version of proceeding in Manchester HPCI Proceedings, 1998.
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[277] The Parallel Algorithms Project. Scientific Report for 1998. Technical Report TR/PA/99/16, CERFACS, Toulouse, France, 1999.
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[278] P. Wiberg. A study of the HR and extended HR methods for the standard eigenvalue problem. Technical Report TR/PA/97/33, CERFACS, Toulouse, France, 1997.
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[279] R. A. McCoy and V. Toumazou. PRECISE User's Guide - Version 1.0. Technical Report TR/PA/97/38, CERFACS, Toulouse, France, 1997.
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[280] L. K. Lundin. How to compute the velocity of a rotating flow. Technical Report TR/PA/97/09, CERFACS, Toulouse, France, 1997.
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[281] H. Kharraz-Aroussi. Parallélisation de GMRES avec PVM. une application en astrophysique. Technical Report TR/PA/97/30, CERFACS, Toulouse, France, 1997.
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[282] A. Harrabi. Pseudospectre d'une suite d'operateurs bornés. Technical Report TR/PA/97/48, CERFACS, Toulouse, France, 1997.
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[283] B. Hamma. Local and global behavior of moving polytope algorithms. Technical Report TR/PA/97/39, CERFACS, Toulouse, France, 1997. submitted to From Local to Global Optimization Edited Book in Honor of 70th birthday of Professor Hoang TUY.
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[284] L. Giraud, D. Lugato, and F. Saab. Parallel distributed fast 3D Poisson. Technical Report TR/PA/97/58, CERFACS, Toulouse, France, 1997.
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[285] V. Frayssé and L. Giraud. An implementation of block QMR for J-symmetric matrices. Technical Report FR/PA/97/57, CERFACS, Toulouse, France, 1997.
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[286] V. Frayssé, L. Giraud, and S. Gratton. A set of GMRES routines for real and complex arithmetics. Technical Report TR/PA/97/49, CERFACS, Toulouse, France, 1997.
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[287] I. S. Duff and J. Koster. The design and use of algorithms for permuting large entries to the diagonal of sparse matrices. Technical Report TR/PA/97/45, CERFACS, Toulouse, France, 1997. Also appeared as Report RAL-TR-97-059, Rutherford Appleton Laboratories, Oxfordshire. Preliminary version of the article published in SIMAX, vol. 20, nber 4, pp 889-901.
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[288] I. S. Duff, R. G. Grimes, and J. G. Lewis. The Rutherford-Boeing Sparse Matrix Collection. Technical Report TR/PA/97/36, CERFACS, Toulouse, France, 1997. Also Technical Report RAL-TR-97-031 from Rutherford Appleton Laboratory and Technical Report ISSTECH-97-017 from Boeing Information & Support Services.
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[289] I. S. Duff, M. E. Marrone, G. Radicati, and C. Vittoli. Level 3 Basic Linear Algebra Subprograms for sparse matrices: a user level interface. Technical Report TR/PA/97/00, RAL, 1997. Preliminary version of the article published in ACM TOMS, vol. 23, nber 3, pp 379-401, 1997.
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[290] T. A. Davis and I. S. Duff. A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Technical Report TR/PA/97/34, CERFACS, Toulouse, France, 1997. Also appeared as RAL Report RAL-TR-97-046, and CISE University of Florida Report TR-97-016. Preliminary version of the article published in ACM TOMS, vol. 25, nber 1, pp 1-20.
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[291] F. Chaitin-Chatelin and S. Gratton. Etude de la non convergence de Gauss-Newton. Contract Report IR/PA/97/14, CERFACS, Toulouse, France, 1997.
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[292] L. M. Carvalho and L. Giraud. Block diagonal preconditioners for the schur complement method. Technical Report TR/PA/97/46, CERFACS, Toulouse, France, 1997.
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[293] T. Braconnier, R. A. McCoy, and V. Toumazou. Using the field of values for pseudospectra generation. Technical Report TR/PA/97/28, CERFACS, Toulouse, France, 1997.
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[294] T. Braconnier, V. Frayssé, and J.-C. Rioual. ARNCHEB users' guide : Solution of large non symmetric or non hermitian eigenvalue problems by the Arnoldi-Tchebycheff method. Technical Report TR/PA/97/50, CERFACS, Toulouse, France, 1997.
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[295] T. Braconnier. Complete iterative method for computing pseudospectra. Technical Report TR/PA/97/13, CERFACS, Toulouse, France, 1997.
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[296] S. Baldini, L. Giraud, J. M. Jimenez, L. M. Matey, and J. G. Izaguirre. High performance computing in multi-body system design. Technical Report TR/PA/97/27, CERFACS, Toulouse, France, 1997.
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[297] S. Baldini, L. Giraud, L. Hamel, J. M. Jimenez, and L. M. Matey. HIPERCOMBATS : a parallel industrial tool for two-wheeler suspensions design. Technical Report TR/PA/97/08, CERFACS, Toulouse, France, 1997. Preliminary version of proceeding in High Performance Computing and Networking, 1997.
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[298] M. Benzi and M. Tuma. Numerical experiments with two approximate inverse preconditioners. Technical Report TR/PA/97/11, CERFACS, Toulouse, France, 1997. Preliminary version of the article published in BIT, vol. 38, pp 15-41.
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[299] M. Benzi and L. Giraud. Acquisition d'une méthode pour la résolution des systèmes linéaires issus des problèmes d'électromagnétisme. Final Contract Report FR/PA/97/04, CERFACS, Toulouse, France, 1997.
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[300] M. Benzi, H. Choi, and D. B. Szyld. Threshold ordering for preconditioning nonsymmetric problems. Technical Report TR/PA/97/02, CERFACS, Toulouse, France, 1997. Preliminary version of proceeding in Proceedings of the Workshop on Scientific Computing, Hong Kong '97, 1997.
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[301] L. H. Bezerra and F. S. V. Bazán. Eigenvalue locations of generalized companion predictor matrices. Technical Report TR/PA/97/01, CERFACS, Toulouse, France, 1997. Preliminary version of the article published in SIMAX, vol. 19, nber 4, pp 886-897.
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[302] The Parallel Algorithms Project. Activity report of the parallel algorithms project, january 1995 - december 1996. Technical Report TR/PA/97/03, CERFACS, Toulouse, France, 1997.
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[303] G. Alléon, M. Benzi, and L. Giraud. Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Technical Report TR/PA/97/05, CERFACS, Toulouse, France, 1997. Preliminary version of article in Numerical Algorithms, vol. 16, pp 1-15, 1997.
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[304] The Parallel Algorithms Project. Scientific Report for 1997. Technical Report TR/PA/98/06, CERFACS, Toulouse, France, 1998.
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[305] P. B. Vasconcelos and F. D. D'Almeida. Preconditioning iterative methods in coupled discretization of fluid flow problems. Technical Report TR/PA/96/04, CERFACS, Toulouse, France, 1996.
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[306] B. Hamma, S. Viitanen, and A. Torn. Parallel continuous simulated annealing for global optimization. Technical Report TR/PA/96/44, CERFACS, Toulouse, France, 1996.
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[307] B. Hamma. Parallel optimization of interplanetary trajectories. Technical Report TR/PA/96/45, CERFACS, Toulouse, France, 1996. Preliminary version of proceeding in Applied Parallel Computing in Industrial Problems and Optimization, 1996.
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[308] S. Gratton. Conditionnement en Optimisation. Etude bibliographique. Contract Report FR/PA/96/36, CERFACS, Toulouse, France, 1996.
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[309] V. Frayssé and V. Toumazou. A note on the normwise perturbation theory for the regular generalized eigenproblem AxBx. Technical Report TR/PA/96/18, CERFACS, Toulouse, France, 1996. Preliminary version of the article published in Numerical Linear Algebra with Applications, vol. 5, nber 1, pp 1-10.
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[310] V. Frayssé, S. Gratton, and V. Toumazou. Note on the conditioning of linear systems of the kind A*Ax = b. Technical Report TR/PA/96/17, CERFACS, Toulouse, France, 1996.
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[311] V. Frayssé, L. Giraud, and V. Toumazou. Parallel computation of spectral portraits on the Meiko CS2. Technical Report TR/PA/96/02, CERFACS, Toulouse, France, 1996. Preliminary version of proceeding in High-Performance Computing and Networking, 1996.
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[312] V. Frayssé, L. Giraud, and S. Gratton. Solveurs linéaires itératifs pour la résolution de systèmes complexes non hermitiens creux de grande taille. Contract Report FR/PA/96/34, CERFACS, Toulouse, France, 1996.
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[313] V. Frayssé, M. Gueury, F. Nicoud, and V. Toumazou. Spectral portraits for matrix pencils. Technical Report TR/PA/96/19, CERFACS, Toulouse, France, 1996.
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[314] I. S. Duff. Sparse numerical linear algebra: direct methods and preconditioning. Technical Report TR/PA/96/22, CERFACS, Toulouse, France, 1996. Also RAL Report RAL 96-047.
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[315] M. J. Daydé and I. S. Duff. Use of computational kernels in full and sparse linear solvers, efficient code design on high-performance RISC processors. Technical Report TR/PA/96/47, CERFACS, Toulouse, France, 1996. Presented at meeting VECPAR'96, Porto, Portugal.
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[316] M. J. Daydé and I. S. Duff. A blocked implementation of level 3 BLAS for RISC processors. Technical Report TR/PA/96/06, CERFACS, Toulouse, France, 1996. Also ENSEEIHT-IRIT Technical Report RT/APO/96/1 and RAL Technical Report RAL-TR-96-014.
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[317] F. Chaitin-Chatelin. Is nonnormality a serious computational difficulty in practice ? Technical Report TR/PA/96/33, CERFACS, Toulouse, France, 1996. Preliminary version of proceeding in The quality of Numerical Software, 1997.
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[318] L. M. Carvalho and L. Giraud. Additive Schwarz for the Schur complement method. Technical Report TR/PA/96/51, CERFACS, Toulouse, France, September 1996. Preliminary version of proceeding in Domain Decomposition Methods in Scientific Computing, 1998.
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[319] J. Cardenal, I. S. Duff, and J. M. Jimenez. A projection method for the solution of rectangular systems. Technical Report TR/PA/96/05, CERFACS, Toulouse, France, 1996. Preliminary version of the article published in IMA J. Numerical Analysis, vol. 18, nber 2, pp 165-177.
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[320] T. Braconnier and F. Chaitin-Chatelin. Chaotic behaviour for eigensolvers applied on highly nonnormal matrices in finite precision. Technical Report TR/PA/96/50, Manchester Center for Computational Mathematics, 1996. Also published as Numerical Analysis Report 303.
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[321] M. Benzi and M. Tuma. Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Technical Report TR/PA/96/41, CERFACS, Toulouse, France, 1996. In Proceedings of the Prague Mathematical Conference (PMC96), K. Segeth (Ed.), 29-34, 1996.
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[322] M. Benzi and M. Tuma. A sparse approximate inverse preconditioner for nonsymmetric linear systems. Technical Report TR/PA/96/15, CERFACS, Toulouse, France, 1996. Preliminary version of the article published in SISC, vol. 19, nber 3, pp 968-994.
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[323] M. Benzi and D. B. Szyld. Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Technical Report TR/PA/96/16, CERFACS, Toulouse, France, 1996. Preliminary version of the article published in Numerische Mathematik, vol. 76, pp 309-321.
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[324] M. Benzi. Remarks on the numerical solution of certain linear complementarity problems. Technical Report TR/PA/96/42, CERFACS, Toulouse, France, 1996. Preliminary version of the article published in J. Comp. Appl. Math., vol. 83, pp 1137-143.
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[325] R. M. Sydenstricker, A. L. G. A. Coutinho, L. Landau, and O. A. Marques. Pseudoconsistent load vector and mass matrix for the discrete Kirchhoff and discrete shear triangle elements. Technical Report FR/PA/95/44, CERFACS, Toulouse, France, 1995.
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[326] O. A. Marques and V. Toumazou. Spectral portrait computation by a Lanczos method (augmented matrix version). Technical Report TR/PA/95/05, CERFACS, Toulouse, France, 1995.
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[327] O. A. Marques and V. Toumazou. Spectral portrait computation by a lanczos method (normal equation version). Technical Report TR/PA/95/02, CERFACS, Toulouse, France, 1995.
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[328] O. A. Marques and Y-H. Sanejouand. Protein motions through eigenanalyses : A set of study cases. Technical Report TR/PA/95/32, CERFACS, Toulouse, France, 1995.
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[329] O. A. Marques and Y-H. Sanejouand. Hinge bending motion in citrate synthase arising from normal modes calculations. Technical Report TR/PA/95/31, CERFACS, Toulouse, France, 1995.
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[330] O. A. Marques. BLZPACK: Description and user's guide. Technical Report TR/PA/95/30, CERFACS, Toulouse, France, 1995.
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[331] O. A. Marques. Eigensolvers and applications in finite element analyses. Technical Report TR/PA/95/29, CERFACS, Toulouse, France, 1995.
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[332] S. Gratton. On the condition number of linear least squares problems in Frobenius norm. Technical Report TR/PA/95/27, CERFACS, Toulouse, France, 1995. Preliminary version of the article published in BIT, vol. 36, pp 523-530.
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[333] S. Gratton. Moindres carrés pour l'orbitographie - Etude de stabilité. Contract Report IR/PA/95/20, CERFACS, Toulouse, France, 1995.
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[334] L. Giraud, P. Noyret, E. Sevault, and V. Van Kemenade. IPM - user's guide and reference manual. Technical Report TR/PA/95/01, CERFACS, Toulouse, France, 1995.
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[335] L. Giraud and R. S. Tuminaro. Time dependent solvers on distributed memory computers. Technical Report TR/PA/95/03, CERFACS, Toulouse, France, 1995. Preliminary version of the article published in Calculateurs parallèles, vol. 7, nber 3, pp 255-269.
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[336] L. Giraud and S. Gratton. Solveurs linéaires performants pour la résolution de systèmes complexes non hermitiens creux de grande taille. Technical Report TR/PA/95/24, CERFACS, Toulouse, France, 1995.
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[337] F. Collino, S. Ghanemi, L. Giraud, S. Gratton, M. Invernizzi, P. Joly, and A. Piacentini. Rapport de fin de contrat Thomson: Résolution des équations de Maxwell tridimensionnelles dans le domaine fréquentiel sur réseaux hétérogènes de calculateurs. Technical Report FR/EL-PA/95/25, CERFACS, Toulouse, France, 1995.
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[338] V. Frayssé and S. Gratton. Moindres carrés pour l'orbitographie - Etude de stabilité - Partie II. Contract Report FR/PA/95/28, CERFACS, Toulouse, France, 1995.
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[339] C. Douglas. A review of numerous parallel multigrid methods. Technical Report TR/PA/95/36, CERFACS, Toulouse, France, 1995.
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[340] C. Douglas. A sparse matrix approach to abstract multilevel solvers on serial parallel computers. Technical Report TR/PA/95/35, CERFACS, Toulouse, France, 1995.
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[341] C. Douglas. Caching with multigrid algorithms : Problems in two dimensions. Technical Report TR/PA/95/15, CERFACS, Toulouse, France, 1995.
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[342] C. Douglas, A. Ern, and M. Smooke. High performance computing and numerical simulation of flames. Technical Report TR/PA/95/34, CERFACS, Toulouse, France, 1995.
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[343] F. Chaitin-Chatelin and S. Gratton. Convergence in finite precision of successive iteration methods under high nonnormality. Technical Report TR/PA/95/43, CERFACS, Toulouse, France, 1995. Preliminary version of the article published in BIT, vol. 36, pp 455-469.
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[344] F. Chaitin-Chatelin. Le calcul qualitatif. Comment donner un sens à des résultats faux ? Technical Report TR/PA/95/10, CERFACS, Toulouse, France, Mars 1995. Support de cours pour le DEA intensif Problèmes inverses en Astrophysique. Concepts mathématiques et méthodes de résolution, CIRM, Luminy, 20-24 Mars 95.
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[345] L. M. Carvalho, I. S. Duff, and L. Giraud. Linear algebra kernels for parallel domain decomposition methods. Technical Report TR/PA/95/26, CERFACS, Toulouse, France, 1995. Preliminary version of proceeding in Advanced Computational Methods in Structural Mechanics, 1996.
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[346] The Parallel Algorithms Project. Scientific Report for 1996. Technical Report TR/PA/97/03, CERFACS, Toulouse, France, 1997.
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[347] O. Burdakov. An MST-type algorithm for the optimal basis problem. Technical Report TR/PA/95/22, CERFACS, Toulouse, France, 1995.
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[348] O. Burdakov. On properties of Newton's method for smooth and nonsmooth equations. Technical Report TR/PA/95/14, CERFACS, Toulouse, France, 1995.
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[349] P. R. Amestoy, T. A. Davis, and I. S. Duff. An approximate minimum degree ordering algorithm. Technical Report TR/PA/95/09, CERFACS, Toulouse, France, 1995.
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[350] J. Perrin. La collection de matrices creuses Harwell-Boeing. méthode de résolution frontale en environnement distribué. Technical Report TR/PA/94/15, CERFACS, Toulouse, France, 1994.
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[351] O. A. Marques. An interactive complex hermitian-Lanczos eigensolver. Technical Report TR/PA/94/16, CERFACS, Toulouse, France, 1994.
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[352] S. Gratton. Moindres carrés pour l'orbitographie. Etude de la stabilité. Technical Report TR/PA/94/17, CERFACS, Toulouse, France, 1994.
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[353] R. Glowinski, A. J. Kearsley, T. W. Pan, and J. Periaux. Numerical simulation and optimal shape for viscous flow by a fictitious domain method. Technical Report TR/PA/94/19, CERFACS, Toulouse, France, 1994.
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[354] M. J. Daydé and I. S. Duff. The CERFACS experience. Technical Report TR/PA/94/10, CERFACS, Toulouse, France, 1994.
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[355] M. J. Daydé and I. S. Duff. Porting industrial codes and developing sparse linear solvers on parallel computers. Technical Report TR/PA/94/01, CERFACS, Toulouse, France, 1994. Also published as RAL Report 94-019. Preliminary version of proceeding of VECPAR 93 in Computing Systems in Engineering, vol. 6, nber 4/5, pp 295-305.
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[356] F. Chaitin-Chatelin, V. Frayssé, and T. Braconnier. The influence of large nonnormality on the quality of convergence of iterative methods in linear algebra. Technical Report TR/PA/94/07, CERFACS, Toulouse, France, 1994.
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[357] F. Chaitin-Chatelin. Is nonnormality a serious difficulty? Technical Report TR/PA/94/18, CERFACS, Toulouse, France, August 1994. Presented at ILAS 94, Rotterdam.
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[358] F. Chaitin-Chatelin. Le calcul sur ordinateur à précision finie. Technical Report TR/PA/94/05, CERFACS, Toulouse, France, February 1994. Rapport réalisé à la demande de l'Institut d'Expertise de l'Ecole Normale Supérieure pour le compte de la DGA / DRET.
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[359] T. Braconnier. The role of the orthogonalization scheme used for eigensolvers applied to nonnormal matrices. Technical Report TR/PA/94/20, CERFACS, Toulouse, France, 1994.
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[360] T. Braconnier. The Arnoldi-Tchebycheff algorithm for solving large complex nonhermitian generalized eigenproblems. Technical Report TR/PA/94/08, CERFACS, Toulouse, France, 1994.
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[361] A. Bouaricha. Tensor-Krylov methods for large sparse systems of nonlinear equations. Technical Report TR/PA/94/04, CERFACS, Toulouse, France, 1994.
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[362] A. Bouaricha. Tensor methods for large sparse unconstrained optimization. Technical Report TR/PA/94/02, CERFACS, Toulouse, France, 1994.
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[363] M. Bennani and T. Braconnier. Comparative behaviour of eigensolvers on highly nonnormal matrices. Technical Report TR/PA/94/23, CERFACS, Toulouse, France, 1994.
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[364] M. Bennani and T. Braconnier. Stopping criteria for eigensolvers. Technical Report TR/PA/94/22, CERFACS, Toulouse, France, 1994.
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[365] P. R. Amestoy, I. S. Duff, and C. Puglisi. Multifrontal QR factorisation in a multiprocessor environment. Technical Report TR/PA/94/09, CERFACS, Toulouse, France, 1994.
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[366] C. Amestoy, M. J. Daydé, and L. Giraud. Parallelisation conjointe CERFACS-CNES d'un code pilote du CNES. Technical Report FR/PA/94/13, CERFACS, Toulouse, France, 1994.
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[367] C. Amestoy, M. J. Daydé, and L. Giraud. Parallélisation conjointe CERFACS-CNES d'un code pilote du CNES: Bilan de la première phase. Technical Report IR/PA/94/06, CERFACS, Toulouse, France, 1994.
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[368] M. Arioli, A. Drummond, I. S. Duff, and D. Ruiz. A parallel scheduler for block iterative solvers in heterogeneous computing environments. Technical Report TR/PA/94/15, CERFACS, Toulouse, France, 1994.
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[369] The Parallel Algorithms Project. Scientific report for 1994. Technical Report TR/PA/95/37, CERFACS, Toulouse, France, 1995.
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[370] E. Sevault. A barotropic vorticity equation model on a Virtual Shared Memory computer. Technical Report TR/PA/93/22, CERFACS, Toulouse, France, 1993.
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[371] O. A. Marques. A partitioned skyline LDLT factorization. Technical Report TR/PA/93/53, CERFACS, Toulouse, France, 1993.
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[372] O. A. Marques. Optimization of a symmetric block Lanczos basis generation process. Technical Report TR/PA/93/52, CERFACS, Toulouse, France, 1993.
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[373] V. I. Kostin. Linear algebra algorithms with guaranteed accuracy. Technical Report TR/PA/93/05, CERFACS, Toulouse, France, 1993.
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[374] M. Hegland. Description and use of animal breeding data for large least squares problems. Technical Report TR/PA/93/50, CERFACS, Toulouse, France, 1993.
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[375] S. Godet-Thobie and V. Kostin. Some experiments with the unsymmetric eigenvalue problem. Technical Report TR/PA/93/15, CERFACS, Toulouse, France, 1993.
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[376] L. Giraud and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems. Technical Report TR/PA/93/37, CERFACS, Toulouse, France, 1993.
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[377] L. Giraud and R. S. Tuminaro. A domain decomposition probing variant suitable for anisotropic problems. Technical Report TR/PA/93/36, CERFACS, Toulouse, France, 1993.
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[378] L. Giraud and G. M. Manzini. Parallel implementations of a multidomain explicit high-order accurate Euler solver. Technical Report TR/CFD-PA/93/49, CERFACS, Toulouse, France, 1993. Preliminary version of the article published in Journal of Computational Physics, vol. 123, pp 111-118.
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[379] A. Edelman. Large dense numerical linear algebra in 1993; The parallel computing influence. Technical Report TR/PA/93/51, CERFACS, Toulouse, France, 1993.
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[380] I. S. Duff, T. Drummond, and D. Ruiz. A parallel distributed implementation of the block conjugate gradient algorithm. Technical Report TR/PA/93/02, CERFACS, Toulouse, France, 1993.
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[381] F. D. D'Almeida. Iterative refinement of eigenelements of compact integral operators using BLAS 3 routines on the Alliant VFX/80 and the Alliant FX/2800. Technical Report TR/PA/93/11, CERFACS, Toulouse, France, 1993.
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[382] M. J. Daydé, I. S. Duff, J.-Y. L'Excellent, and L. Giraud. Evaluation d'ordinateurs vectoriels et parallèles sur un jeu de programmes représentatifs des calculs intensifs à la division avions de l'Aérospatiale. Partner Report PR/PA/93/19, CERFACS, Toulouse, France, 1993. Rapport final.
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[383] T. A. Davis and I. S. Duff. An unsymmetric-pattern multifrontal method for sparse LU factorization. Technical Report TR/PA/93/21, CERFACS, Toulouse, France, 1993.
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[384] A. R. Conn, N. I. M. Gould, and Ph. L. Toint. A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization. Technical Report TR/PA/93/17, CERFACS, Toulouse, France, 1993.
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[385] A. R. Conn, N. I. M. Gould, and Ph. L. Toint. Improving the decomposition of partially separable functions in the context of large-scale optimization: a first approach. Technical Report TR/PA/93/16, CERFACS, Toulouse, France, 1993.
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[386] T. Braconnier, F. Chatelin, and V. Frayssé. Qualitative Computing : elements of a theory for finite precision computation. Technical Report TR/PA/93/12, CERFACS, Toulouse, France, 1993. Lecture Notes for the Workshop on Reliability of Computations, March 30-April 1, Toulouse, France.
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[387] A . R. Conn, N. I. M. Gould, A. Sartenaer, and Ph. L. Toint. Local convergence properties of two augmented lagrangian algorithms for optimization with a combination of general equality and linear constraints. Technical Report TR/PA/93/27, CERFACS, Toulouse, France, 1993.
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[388] A. R. Conn, N. I. M. Gould, A. Sartenaer, and Ph. L. Toint. Global convergence of two augmented lagrangian algorithms for optimization with a combination of general equality and linear constraints. Technical Report TR/PA/93/26, CERFACS, Toulouse, France, 1993.
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[389] T. Braconnier. The Arnoldi-Tchebycheff algorithm for solving large non symmetric eigenproblems. Technical Report TR/PA/93/25, CERFACS, Toulouse, France, 1993.
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[390] A. Bouaricha. Software package for large sparse unconstraint optimization using tensor methods. Technical Report TR/PA/93/35, CERFACS, Toulouse, France, 1993.
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[391] A. Bouaricha and R. B. Schnabel. Tensolve : A software package for solving systems of nonlinear equations and nonlinear least squares problems using tensor methods. Technical Report TR/PA/93/23, CERFACS, Toulouse, France, 1993.
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[392] A. Bouaricha and R. B. Schnabel. Parallel tensor methods for nonlinear equations and nonlinear least squares. Technical Report TR/PA/93/20, CERFACS, Toulouse, France, 1993.
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[393] E. Bodon. Numerical experiments with ABS algorithms on upper banded systems of linear equations. Technical Report TR/PA/93/14, CERFACS, Toulouse, France, 1993.
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[394] E. Bodon. Numerical experiments with ABS algorithms on banded systems of linear equations. Technical Report TR/PA/93/13, CERFACS, Toulouse, France, 1993.
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[395] I. Bongartz, A. R. Conn, N. I. M. Gould, and Ph. L. Toint. CUTE : Constrained and Unconstrained Testing Environment. Technical Report TR/PA/93/10, CERFACS, Toulouse, France, 1993.
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[396] N. Barth and S. L. Smith. DC a package for distributed coupling. Technical Report TR/PA/93/24, CERFACS, Toulouse, France, 1993.
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[397] I. d'Ast. Parallelization of a bidimensional compressible unsteady Navier-Stokes solver on shared and distributed MIMD computers. Technical Report TR/PA/93/04, CERFACS, Toulouse, France, 1993.
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[398] M. Arioli, T. F. Chan, I. S. Duff, N. I. M. Gould, and J. K. Reid. Computing a search direction for large-scale linearly-constrained nonlinear optimization calculations. Technical Report TR/PA/93/34, CERFACS, Toulouse, France, 1993. Also RAL Technical Report RAL 93-066.
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[399] The Parallel Algorithms Project. Scientific Report for 1993. Technical Report TR/PA/93/00, CERFACS, Toulouse, France, 1993.
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[400] H. A. van der Vorst. Lecture notes on iterative methods. Technical Report TR/PA/92/75, CERFACS, Toulouse, France, 1992.
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[401] R. S. Tuminaro and W. Walker. The solution of the drift-diffusion equations on a large scale parallel machine. Technical Report TR/PA/92/80, CERFACS, Toulouse, France, 1992.
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[402] S. L. Smith. Performance analysis of dynamic scheduling techniques for irregularly structured computation. Technical Report TR/PA/92/88, CERFACS, Toulouse, France, 1992.
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[403] R. B. Simpson. Anisotropic mesh transformations and optimal error control. Technical Report TR/PA/92/77, CERFACS, Toulouse, France, 1992.
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[404] R. B. Simpson. A database abstraction for unstructured triangular mesh algorithms. Technical Report TR/PA/92/66, CERFACS, Toulouse, France, 1992.
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[405] H. Munthe-Kaas. Super parallel FFT's. Technical Report TR/PA/92/64, CERFACS, Toulouse, France, 1992.
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[406] N. Levenberg and L. Reichel. A generalized ADI iterative method. Technical Report TR/PA/92/81, CERFACS, Toulouse, France, 1992.
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[407] M. A. Heroux. A proposal for a sparse BLAS toolkit. sparker working note 2. Technical Report TR/PA/92/90, CERFACS, Toulouse, France, 1992.
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[408] S. W. Hammond. Parallel block LU and LDLT decomposition of large dense complex linear systems. Technical Report TR/PA/92/93, CERFACS, Toulouse, France, 1992.
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[409] G. H. Golub and R. S. Tuminaro. Cyclic reduction / multigrid. Technical Report TR/PA/92/79, CERFACS, Toulouse, France, 1992.
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[410] L. Giraud. Shared and distributed implementations of block preconditioned conjugate gradient using domain decomposition on a distributed virtual shared memory computer. Technical Report TR/PA/92/91, CERFACS, Toulouse, France, 1992.
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[411] I. S. Duff, M. Marrone, and G. Radicati. A proposal for user level sparse BLAS. sparker working note 1. Tech. Rep. TR/PA/92/85, CERFACS, Toulouse, France, 1992.
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[412] I. S. Duff, R. G. Grimes, and J. G. Lewis. Users' guide for the Harwell-Boeing sparse matrix collection. Technical Report TR/PA/92/86, CERFACS, Toulouse, France, 1992. Also RAL Technical Report RAL 92-086.
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[413] J. W. Demmel and A. Edelman. The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms. Technical Report TR/PA/92/67, CERFACS, Toulouse, France, 1992.
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[414] M. J. Daydé, I. S. Duff, J.-Y. L'Excellent, and L. Giraud. Evaluation d'ordinateurs vectoriels et parallèles sur un jeu de programmes représentatifs des calculs intensifs à la division avions de l'Aérospatiale : bilan de l'étape de portage. Partner Report PR/PA/92/10, CERFACS, Toulouse, France, 1992.
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[415] M. J. Daydé, I. S. Duff, and A. Petitet. A parallel block implementation of level 3 BLAS kernels for MIMD vector processors. Technical Report TR/PA/92/74, CERFACS, Toulouse, France, 1992. Preliminary version of the article published in ACM TOMS, vol. 20, pp 178-193.
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[416] D. Calvetti and L. Reichel. Adaptive Richardson iteration based on Leja points. Technical Report TR/PA/92/82, CERFACS, Toulouse, France, 1992.
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[417] N. Barth and S. L. Smith. Coupling numerical models of the atmosphere and ocean using the Parallel Virtual Machine (PVM) package. Technical Report TR/CMGC/PA/92/76, CERFACS, Toulouse, France, 1992.
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[418] M. Arioli, B. Codenotti, and C. Fassino. Error analysis of three methods for computing the matrix exponential. Technical Report TR/PA/92/87, CERFACS, Toulouse, France, 1992.
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[419] M. Arioli, B. Codenotti, and C. Fassino. The Pade method for computing the matrix exponential. Technical Report TR/PA/92/84, CERFACS, Toulouse, France, 1992.
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[420] P. R. Amestoy and I. S. Duff. Memory allocation issues in sparse multifrontal methods on multiprocessors. Technical Report TR/PA/92/83, CERFACS, Toulouse, France, 1992.
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[421] P. R. Amestoy, M. J. Daydé, I. S. Duff, and P. Morère. Linear algebra calculations on a virtual shared memory computer. Technical Report TR/PA/92/70, CERFACS, Toulouse, France, 1992. Preliminary version of article in Int. J. of High Speed Computing, 1995, vol. 7(1).
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[422] M. Sadkane and B. Vital. Davidson's method for linear systems of equations: Implementation of a block algorithm on a multiprocessor. Technical Report TR/PA/91/60, CERFACS, Toulouse, France, 1991.
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[423] Y.-H. De Roeck, P. Le Tallec, and M. Vidrascu. A domain-decomposed solver for nonlinear elasticity. Technical Report TR/PA/91/51, CERFACS, Toulouse, France, 1991.
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[424] F. Chatelin and V. Frayssé. Analysis of arithmetic algorithms: a statistical study. Technical Report TR/PA/91/56, CERFACS, Toulouse, France, 1991. Preliminary version of proceeding in 10th Symposium on Computer Arithmetic, June 1991.
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[425] F. Chatelin and V. Frayssé. Arithmetic reliability of algorithms. Technical Report TR/PA/91/57, CERFACS, Toulouse, France, 1991. Preliminary version of proceeding in 2nd Symposium on High Performance Computing.
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[426] F. Chatelin and V. Frayssé. A statistical study of the stability of linear systems. Technical Report TR/PA/91/43, CERFACS, 1991.
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[427] Ph. Berger, M. J. Daydé, and P. Morère. Implementation and use of level 3 BLAS kernels on a transputer T800 ring network. Technical Report TR/PA/91/54, CERFACS, Toulouse, France, June 1991.
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[428] M. Arioli, H. Munthe-Kaas, and L. Valdettaro. Componentwise error analysis for FFT's with applications to fast Helmholz solvers. Technical Report TR/IT/PA/91/55, CERFACS, Toulouse, France, 1991.
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[429] M. Arioli, I. S. Duff, and D. Ruiz. Stopping criteria for iterative solvers. Technical Report TR/PA/91/58, CERFACS, Toulouse, France, 1991. Preliminary version of the article published in SIMAX, vol. 13, pp 138-144.
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[430] M. Arioli, I. S. Duff, D. Ruiz, and M. Sadkane. Techniques for accelerating the block Cimmino method. Technical Report TR/PA/91/63, CERFACS, Toulouse, France, 1991. Preliminary version of article in SISC, vol. 16 , nber 6 , pp 1478-1511.
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[431] The Parallel Algorithms Project. Scientific Report for 1991. Technical Report TR/PA/91/00, CERFACS, Toulouse, France, 1991.
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[432] P. Le Tallec, Y.-H. De Roeck, and M. Vidrascu. Domain decomposition methods for the large linearly elliptic three dimensional problems. Technical Report TR/PA/90/20, CERFACS, Toulouse, France, 1990.
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