| [1] |
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, Keywords: MEG, EEG, BEM, forward problem, collocation method, Galerkin method, constant basis functions, linear basis functions. 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. BibTeX entry, Compressed PS |
| [2] |
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, Keywords: Integral equations, magnetoencephalography, electroencephalography, boundary element method, iterative methods, eigenvalues, preconditioners. 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. BibTeX entry, Compressed PS |
| [3] |
J. Rahola.
Experiments on iterative methods and the fast multipole method in electromagnetic scattering calculations. Technical Report TR/PA/98/49, Keywords: Electromagnetic scattering, iterative methods, integral equations, fast multipole methods. BibTeX entry, Compressed PS |
| [4] |
J. Rahola.
On the eigenvalue of the volume integral operator of electromagnetic scattering. Technical Report TR/PA/98/19, Keywords: Electromagnetic scattering, eigenvalues of matrices, spectrum of linear operators, iterative methods, integral equations. BibTeX entry, Compressed PS |
| [5] |
J. Nocedal, A. Sartenaer, and C. Zhu.
On the accuracy of nonlinear optimization algorithms. Technical Report TR/PA/98/52, Keywords: nonlinear optimization, unconstrained optimization, Newton's method, quasi-Newton method, limited memory method, steepest descent method. BibTeX entry, Compressed PS |
| [6] |
F. Mazzia.
Loss of biorthogonality and linear system solvers. Technical Report TR/PA/98/10, Keywords: Linear system of equations, sparse matrix, Lanczos algorithm, biorthogonalization algorithm, quasi-minimal residual method. BibTeX entry, Compressed PS |
| [7] |
F. Mazzia and R. A. McCoy.
Numerical experiments with a shifted SSOR preconditioner for symmetric matrices. Technical Report TR/PA/98/12, Keywords: No keywords supplied. BibTeX entry, Compressed PS |
| [8] |
A. Harrabi.
On the approximation of pseudospectra of nonnormal operators by discretization, part II: the convection-diffusion operator. Technical Report TR/PA/98/38, Keywords: pseudospectra, convection-diffusion operator, Galerkin approximation, collocation approximation, finite-difference method. BibTeX entry, Compressed PS |
| [9] |
A. Harrabi.
On the approximation of pseudospectra of nonnormal operators by discretization, part I: the first derivative operator. Technical Report TR/PA/98/37, Keywords: pseudospectra, first derivative operator, Galerkin approximation, collocation approximation, finite-difference method. BibTeX entry, Compressed PS |
| [10] |
A. Harrabi.
Défaut de normalité. Technical Report TR/PA/98/36, Keywords: défaut de normalité, conditionnement Hölderien, spectre, pseudospectre, resolvante. BibTeX entry, Compressed PS |
| [11] |
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, Keywords: structured perturbations, condition number, backward error, linear systems. Preliminary version of the article published in BIT, vol. 40, nber 1, pp 74-83. BibTeX entry, Compressed PS |
| [12] |
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, Keywords: No keywords supplied, Preliminary version of proceeding of EUROPAR'98 Parallel Processing. BibTeX entry, Compressed PS |
| [13] |
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, Keywords: No keywords supplied. BibTeX entry |
| [14] |
V. Frayssé, L. Giraud, and S. Gratton.
A set of Flexible-GMRES routines for real and complex arithmetics. Technical Report TR/PA/98/20, Keywords: Linear systems, Krylov Methods, GMRES, FGMRES, reverse communication, distributed memory. BibTeX entry, Compressed PS, PDF |
| [15] |
I. S. Duff and H. A. van der Vorst.
Preconditioning and parallel preconditioning. Technical Report TR/PA/98/23, Keywords: preconditioning, parallel computers,sparse matrices, incomplete factorization, sparse approximate inverses, block methods, element by element preconditioning. BibTeX entry, Compressed PS |
| [16] |
I. S. Duff.
Direct methods. Technical Report TR/PA/98/28, Keywords: sparse matrices, direct methods, indirect addressing, fill-in, cliques, graph theory, frontal methods, multifrontal methods, parallel computers, software. BibTeX entry, Compressed PS |
| [17] |
H. Dai.
Block bidiagonalization methods for solving nonsymmetric linear systems with multiple right-hand sides. Technical Report TR/PA/98/35, Keywords: nonsymmetric systems, multiple right-hand sides, block iterative methods. BibTeX entry, Compressed PS |
| [18] |
H. Dai.
Some developments on parameterized inverse eigenvalue problems. Technical Report TR/PA/98/34, Keywords: eigenvalue problems, inverse problems, nonlinear equations, iterative methods. BibTeX entry, Compressed PS |
| [19] |
H. Dai.
A numerical method for solving inverse eigenvalue problems. Technical Report TR/PA/98/33, Keywords: inverse eigenvalue problems, QR-like decomposition, least squares, Gauss-Newton method. Accepted for electronic publication in Mathematical Modelling and Numerical Analysis. BibTeX entry, Compressed PS |
| [20] |
H. Dai.
Two algorithms for symmetric linear systems with multiple right-hand sides. Technical Report TR/PA/98/17, Keywords: symmetric linear systems, multiple right-hand sides, block Lanczos algorithm, block MINRES method. BibTeX entry, Compressed PS |
| [21] |
F. Chaitin-Chatelin and A. Harrabi.
About definitions of pseudospectra of closed operators in Banach spaces. Technical Report TR/PA/98/08, Keywords: Pseudospectra, Closed Linear Operator, Banach and Hilbert space. BibTeX entry, Compressed PS |
| [22] |
F. Chaitin-Chatelin and S. Gratton.
A note on the convergence of Gauss-Newton algorithm. Technical Report TR/PA/98/27, Keywords: No keywords supplied. BibTeX entry, Compressed PS |
| [23] |
F. Chaitin-Chatelin and S. Gratton.
About the distance to singularity for polynomials in one variable. Technical Report TR/PA/98/26, Keywords: No keywords supplied. BibTeX entry, Compressed PS |
| [24] |
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, Keywords: No keywords supplied, Preliminary version of the article published in Numerical Linear Algebra with Applications, vol. 7, pp 337-354. BibTeX entry, Compressed PS |
| [25] |
F. Chaitin-Chatelin, V. Frayssé, and S. Gratton.
Traitement d'ambiguïtés entières : Rapport intermédiaire. Contract Report IR/PA/98/54, Keywords: integer quadratic problem, GPS, integer ambiguities. BibTeX entry |
| [26] |
L. M. Carvalho, L. Giraud, and P. Le Tallec.
Algebraic two-level preconditioners for the Schur complement method. Tech. Rep. TR/PA/98/18, Keywords: Domain decomposition, two-level preconditioning, Schur complement, parallel distributed computing, elliptic partial differential equations. Preliminary version of the paper published in SIAM SISC, vol. 22, nbr 6, pp 1987-2005, 2001. BibTeX entry, Compressed PS |
| [27] |
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, Keywords: Generalized eigenvalues, sparse matrices, Mobius transforms. Submitted to BIT. BibTeX entry, Compressed PS |
| [28] |
P. Amodio and F. Mazzia.
A new approach to the backward error analysis in the LU factorization algorithm. Technical Report TR/PA/98/09, Keywords: Gaussian elimination, stability, backward error analysis, growth factor. BibTeX entry, Compressed PS |
| [29] |
P. R. Amestoy, I. S. Duff, and J.-Y. L'Excellent.
Multifrontal Parallel Distributed Symmetric and Unsymmetric Solvers. Technical Report TR/PA/98/22, Keywords: MPI, distributed memory architecture, sparse matrices, multifrontal direct methods. Preliminary version of the article published in Comput. Methods in Appl. Mech. Eng, vol. 184, pp 501-520. BibTeX entry, Compressed PS |
| [30] |
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, Keywords: Multifrontal, sparse solver, distributed memory parallelism, MPI, BLAS, BLACS, ScaLAPACK, PARASOL. BibTeX entry, Compressed PS |
| [31] |
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, Keywords: No keywords supplied, Preliminary version of proceeding in Manchester HPCI Proceedings, 1998. BibTeX entry, Compressed PS |
| [32] |
The Parallel Algorithms Project.
Scientific Report for 1997. Technical Report TR/PA/98/06, Keywords: No keywords supplied. BibTeX entry, Compressed PS |