[1] S. Gratton A. Troeltzsch and Ph. L. Toint.
Benchmarking of bound-constrained optimization software.
Working Notes WN/PA/07/143,
Keywords: Bound constrained optimization software, nonlinear optimization, line search method, trust region method, interior point method.
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[2] 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,
Keywords: Unconstrained minimization, trust-region methods, convergence theory, numerical experiments.
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[3] F. Chaitin-Chatelin.
The dynamics of spectral analysis by homotopic deviation. part I : The spectral field.
Technical Report TR/PA/07/118,
Keywords: Complex coupling, Homotopic Deviation, complex intensity, observation point, communication matrix, homotopic polynomial, frontier set, frontier multiplicity, homotopic multiplicity, normwise observability, spectral observability.
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[4] M. Ahmadnasab and F. Chaitin-Chatelin.
Matrix pencils under homotopic deviation theory.
Technical Report TR/PA/07/108,
Keywords: Frontier set, critical set, evolving eigenvalue, invariant eigenvalue, final eigenvalue, regular matrix pencil, singular matrix pencil.
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[5] 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,
Keywords: Linear least squares, statistical linear least squares, parameter estimation, condition number, variance-covariance matrix, LAPACK, ScaLAPACK.
Also appeared as LAPACK Working Note 193.
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[6] B. Ucar.
Heuristics for a matrix symmetrization problem.
Technical Report TR/PA/07/91,
Keywords: Unsymmetric sparse matrices, bipartite matching, matrix symmetrization.
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[7] 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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[8] F. Chaitin-Chatelin.
About an organic logic ruling the continuous evolution of SVD measurement with Dickson hypercomplex numbers.
Technical Report TR/PA/07/55,
Keywords: Nonassociative Dickson algebras, classical and nonclassical SVD computations, measurement loop, evolution, logistic, classical logic, organiclogic, inner inductive continuation.
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[9] F. Chaitin-Chatelin.
Computing beyond classical logic : SVD computation in nonassociative Dickson algebras.
Technical Report TR/PA/07/54,
Keywords: Chaitin, Omega, Turing thesis, quaternions, octonions, nonassociative Dickson algebra, classical logic, SVD computation, nonclassical singular value, induction, nformation, Life, evolution.
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[10] 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,
Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/09.
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[11] 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,
Keywords: Parallel solution, out-of-core solution, Gaussian elimination, multifrontal method, MUMPS.
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[12] 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,
Keywords: Recursive methods, multilevel problems, nonlinear optimization, convergence theory.
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[13] M. Garcia, S. Jan, and M. Masmoudi.
Neural networks: low-memory training and regularizatio techniques.
Technical Report TR/PA/07/25,
Keywords: Neural network, algorithmic differentiation, training, regularization.
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[14] B. Ucar and C. Aykanat.
Partitioning sparse matrices for parallel preconditioned iterative methods.
Technical Report TR/PA/07/23,
Keywords: Matrix partitioning, preconditioning, iterative method, parallel computing.
Preliminary version of an article published in SIAM Journal on Scientific Computing, vol. 29, number 4, pp 1683-1709.
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[15] 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,
Keywords: Large sparse linear systems, sparse direct solvers, iterative methods, preconditioned Krylov solvers, mixed arithmetic algorithms, parallel computing, elliptic PDE.
Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/01.
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[16] I. S. Duff.
The design and use of a sparse direct solver for skew symetric matrices.
Technical Report TR/PA/07/04,
Keywords: Sparse skew symetric systems, Gaussian elimination, multifrontal method.
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[17] 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,
Keywords: Sparse linear systems, preconditioning,multigrid, complex symmetric matrices, Krylov subspace methods, Helmholtz equation, geophysics.
Preliminary version of an article published in International Journal of Computer Mathematics, vol. 84-8, pp 1167-1181.
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