| [1] |
A. N. Zaoui and E. Traviesas.
Sur la fiabilité et la robustesse du code isabel. Technical Report TR/PA/00/76, Keywords: Méthode d'Arnoldi-Bloc, méthode des Itérations Simultanées, valeurs propres, critères de convergence, arithmétique exacte, précision finie. BibTeX entry, Compressed PS |
| [2] |
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, Keywords: Hybrid eigensolver, block Arnoldi method, Subspace Iterations method, spectral transformation, numerical quality. 16th IMACS World Congress, Lausanne, Switzerland. BibTeX entry, Compressed PS |
| [3] |
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, Keywords: regularization, constrained quadratic optimization, trust region, Lanczos method, ill-posed problems, inverse problems, seismic inversion. Preliminary version of the article published in SIAM Journal on Scientific Computing, vol. 26, nber 3, pp 1843-1861, 2002. BibTeX entry, Compressed PS, PDF |
| [4] |
L. Plantié.
A semi-discrete problem for the boundary layer of triple deck type (part 2). Technical Report TR/PA/00/46, Keywords: Boundary layer, triple deck, semi-discretization, existence, asymptotic behaviour, uniqueness. BibTeX entry, Compressed PS |
| [5] |
L. Plantié.
A semi-discrete problem for the boundary layer of triple deck type (part 1). Technical Report TR/PA/00/45, Keywords: Boundary layer, triple deck, semi-discretization, existence, asymptotic behaviour, uniqueness. BibTeX entry, Compressed PS |
| [6] |
L. Plantié.
The boundary layer problem of triple deck type. Technical Report TR/PA/00/61, Keywords: Boundary layer, triple deck, semi-discretization, existence, asymptotic behaviour. Also in Proceedings of the Second Conference on Numerical Analysis and Applications, Rousse, Bulgaria, Springer Verlag, pp 675-683. BibTeX entry, Compressed PS |
| [7] |
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, Keywords: Derivative nonlinear Schrodinger equation, initial boundary-value problem, Backlund transformations, Crank-Nicolson finite difference scheme, convergence and stability of difference schemes. BibTeX entry, Compressed PS |
| [8] |
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, Keywords: Electrocardiogram (ECG), ECG processing, 1/ f noise, spectral analysis, chaos theory. BibTeX entry, Compressed PS |
| [9] |
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, Keywords: No keywords supplied. BibTeX entry |
| [10] |
F. Guevara Vasquez.
Internship report on domain decomposition methods for the solution of partial differential equations. Technical Report TR/PA/00/98, Keywords: No keywords supplied. BibTeX entry |
| [11] |
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, Keywords: primal-dual interior-point method, componentwise convergence. BibTeX entry, Compressed PS |
| [12] |
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, Keywords: nonlinear systems of equations, path-following methods, componentwise Q-superlinear convergence. Preliminary version of the article published in Mathematical Programming Serie B, vol. 92. nber 3, pp. 481-508, 2002. BibTeX entry, Compressed PS, PDF |
| [13] |
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, Keywords: primal-dual interior point method, componentwise Q-superlinear convergence. Preliminary version of the article published in SIAM J. Optimization, (2001), 11-4, pp 974-1002. BibTeX entry, Compressed PS |
| [14] |
V. Frayssé and L. Giraud.
A set of conjugate gradient routines for real and complex arithmetics. Technical Report TR/PA/00/47, Keywords: linear systems, Krylov methods, CG, reverse communication, distributed memory. BibTeX entry, Compressed PS, PDF |
| [15] |
I. S. Duff, C. Vömel, and M. Youan.
Implementing the Sparse BLAS in Fortran 95. Technical Report TR/PA/00/82, Keywords: unstructured sparse matrices, sparse data structures, programming standard, iterative linear solvers, BLAS, Sparse BLAS. BibTeX entry, Compressed PS |
| [16] |
I. S. Duff and C. Vömel.
Incremental Norm Estimation for Dense and Sparse Matrices. Technical Report TR/PA/00/83, Keywords: matrix norm, condition number, incremental estimators, approximate singular vectors, sparse triangular matrices, QR factorization, rank-revealing. Preliminary version of the article published in BIT, Numerical Mathematics, Volume 42, Issue 2 (June 2002), pp. 300-322. BibTeX entry, Compressed PS |
| [17] |
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, Keywords: unstructured sparse matrices, sparse data structures, programming standard, iterative linear solvers, BLAS, SparseBLAS. BibTeX entry, Compressed PS |
| [18] |
F. Chaitin-Chatelin and E. Traviesas.
PRECISE, a toolbox for assessing the quality of numerical methods and software. Technical Report TR/PA/00/12, Keywords: Recommender systems, backward-error analysis, condition, reliability, sensitivity analysis. Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland. BibTeX entry, Compressed PS |
| [19] |
F. Chaitin-Chatelin, E. Traviesas, and L. Plantié.
Understanding Krylov methods in finite precision. Technical Report TR/PA/00/40, Keywords: Eigenvalues, Krylov subspace, Arnoldi method, Happy Breackdown, finite precision, backward error, homotopic perturbations. 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. BibTeX entry, Compressed PS |
| [20] |
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, Keywords: hypercomplex numbers, hypercomplex algebras, quaternions, octonions, division algebra, composition algebra, geometry, four-color theorem. BibTeX entry, Compressed PS, PDF |
| [21] |
F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui.
Computation with hypercomplex numbers. Technical Report TR/PA/00/69, Keywords: hypercomplex numbers, quaternions, octonions, division algebra, Nature's computation, logistic iteration, Mandelbrot set. Preliminary version of the article published in the Proceedings of 3rd World Congress of Nonlinear Analysis, vol. 47, pp. 3391-3400, 2001. BibTeX entry, Compressed PS |
| [22] |
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, Keywords: GPS, integer ambiguities, LAMBDA method. BibTeX entry, Compressed PS |
| [23] |
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, Keywords: Algorithme d'Arnoldi de base, calcul inexact, perturbations homotopiques, solveurs emboités, arrêt heureux, erreur inverse, erreur de méthode. BibTeX entry, Compressed PS |
| [24] |
A. Bouras and V. Frayssé.
A relaxation strategy for the Arnoldi method in eigenproblems. Technical Report TR/PA/00/16, Keywords: eigenvalue, iterative method, Krylov methods, inner-outer iterations. BibTeX entry, Compressed PS |
| [25] |
A. Bouras and V. Frayssé.
A relaxation strategy for inexact matrix-vector products for Krylov methods. Technical Report TR/PA/00/15, Keywords: linear systems, iterative methods, Krylov methods, inner-outer iterations. Submitted to SIAM Journal in Matrix Analysis and Applications. BibTeX entry, Compressed PS |
| [26] |
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, Keywords: domain decomposition linear systems, iterative methods, inner-outer iterations. BibTeX entry, Compressed PS |
| [27] |
A. Bouras, F. Chaitin-Chatelin, and V. Frayssé.
Solveurs itératifs imbriqués. Contract Report FR/PA/00/19, Keywords: inner-outer iterations, Krylov methods, linear systems, eigenproblems, domain decomposition methods, inexact methods. BibTeX entry |
| [28] |
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, Keywords: sparse linear systems, distributed memory codes, multifrontal, supernodal, direct methods, comparison of codes. 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. BibTeX entry, Compressed PS, PDF |
| [29] |
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, Keywords: sparse linear systems, distributed memory codes, multifrontal, supernodal, direct methods, comparison of codes. Preliminary version of the article published in ACM Trans. Math. Softw., (2001), 27-4, pp. 1-33. BibTeX entry, Compressed PS |
| [30] |
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, Keywords: Sparse linear systems, distributed memory codes, multifrontal, supernodal, direct methods, comparison of codes. Preliminary version of the article published in ACM Trans. Math. Softw., vol. 27, pp 338-421. BibTeX entry, Compressed PS |
| [31] |
S. Dallakyan.
A note on the visualization of multiparametric bifurcations. Technical Report TR/PA/00/07, Keywords: No keywords supplied, Preliminary version of the article published in Computers & Graphics, vol. 24, nber 2, pp 269-270, 2000. BibTeX entry, Compressed PS |
| [32] |
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, Keywords: No keywords supplied, Submitted for publication to Physica D, cond-mat/9909289. BibTeX entry, Compressed PS |
| [33] |
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, Keywords: Preconditioning techniques, Frobenius-norm minimization method, nonzero pattern selection strategies, electromagnetic scattering applications. 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. BibTeX entry, Compressed PS, PDF |
| [34] |
B. Carpentieri, I. S. Duff, and L. Giraud.
Experiments with sparse preconditioning of dense problems from electromagnetic applications. Technical Report TR/PA/00/04, Keywords: Krylov subspaces methods, preconditioning techniques, sparse approximate inverse, electromagnetic scattering, boundary element method. BibTeX entry, Compressed PS |
| [35] |
The Parallel Algorithms Project.
Scientific Report for 1999 (with images). Technical Report TR/PA/00/0b, Keywords: No keywords supplied. BibTeX entry, Compressed PS, PDF |
| [36] |
The Parallel Algorithms Project.
Scientific Report for 1999 (without images). Technical Report TR/PA/00/0a, Keywords: No keywords supplied. BibTeX entry, Compressed PS, PDF |