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[1]
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F. Chaitin-Chatelin, V. Frayssé, and S. Gratton.
Traitement d'ambiguďtés entières :
Rapport intermédiaire.
Contract Report IR/PA/98/54,
Keywords: integer quadratic
problem, GPS, integer ambiguities.
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[2]
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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.
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[3]
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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.
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[4]
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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.
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[5]
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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.
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[6]
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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.
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[7]
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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.
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[8]
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A. Harrabi.
Défaut de normalité.
Technical Report TR/PA/98/36,
Keywords: défaut de
normalité, conditionnement Hölderien, spectre, pseudospectre,
resolvante.
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[9]
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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.
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[10]
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H. Dai.
Some developments on parameterized inverse eigenvalue
problems.
Technical Report TR/PA/98/34,
Keywords: eigenvalue
problems, inverse problems, nonlinear equations, iterative methods.
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[11]
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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.
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[12]
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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.
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[13]
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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.
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[14]
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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.
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[15]
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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.
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[16]
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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.
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[17]
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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.
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[18]
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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.
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[19]
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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.
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[20]
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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.
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[21]
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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.
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[22]
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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.
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[23]
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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.
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[24]
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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.
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[25]
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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.
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[26]
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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.
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[27]
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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.
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[28]
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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.
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[29]
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The Parallel Algorithms Project.
Scientific Report for 1997.
Technical Report TR/PA/98/06,
Keywords: No keywords
supplied.
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[30]
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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.
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[31]
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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.
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[32]
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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.
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