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Abstract: This work discusses the meaning which emerges from the linear relation between two matrices A and B, done via the complex parameter t such that A(t) = A+ t(B -A). (Update)
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BibTeX entry: (Update)
@misc{ chaitin-chatelin-homotopic,
author = "Francoise Chaitin-Chatelin and Elisabeth Traviesas",
title = "Homotopic perturbation - Unfolding the field of singularities of a matrix
by a complex parameter: a global geometric approach",
url = "citeseer.ist.psu.edu/chaitin-chatelin01homotopic.html" }
Citations (may not include all citations):46 Pseudospectra of linear operators - Trefethen - 1997
44 Spectral approximation of linear operators (context) - Chatelin - 1983
41 Valeurs propres de matrices (context) - Chatelin - 1988
38 Computation of Pseudospectra - Trefethen - 1999
10 Private communication (context) - Parlett - 2000
8 Lectures on Finite Precision Computations (context) - Chaitin-Chatelin, Fraysse - 1996
7 eploiement du champ spectral d'une matrice (context) - Traviesas - 2000
4 Introduction a l'analyse complexe (context) - Chabat - 1990
4 Validation du calcul sur ordinateur: application de la th eo.. (context) - Ilahi - 1998
3 PRECISE User's Guide - Version (context) - McCoy, Toumazou - 1997
3 Theory and numerics of spectral value sets (context) - Gallestey - 1998
2 Enlarged Translation of the French Publication with Masson (context) - Chatelin, matrices et al. - 1993
1 About Holder condition numbers and the stratification diagra.. (context) - Chaitin-Chatelin, Harrabi et al. - 2000
1 Understanding Krylov methods in finite precision (context) - Chaitin-Chatelin, Traviesas et al. - 2000
1 Remarks on non-linear spectral perturbation (context) - Simoncini - 1999
1 Inner-outer iterations for mode solvers in structural mechan.. (context) - Chaitin-Chatelin, Meskauskas - 2001
1 Solveurs iteratifs imbriques (context) - Bouras, Chaitin-Chatelin et al. - 2000
1 The computing power of Geometry (context) - Chaitin-Chatelin - 1999
1 Accuracy assessment for eigencomputations : variety of backw.. (context) - Chaitin-Chatelin, Toumazou et al. - 2000
1 Comprendre les methodes de Krylov en precision finie : le pr.. (context) - Chaitin-Chatelin - 2000
1 Invited talk (context) - Chaitin-Chatelin, singularities et al. - 1999
1 The Arnoldi method in the light of homotopic perturbation (context) - Chaitin-Chatelin, Traviesas
1 the superconvergence of geometric series expansions of matri.. (context) - Chaitin-Chatelin, Traviesas
1 About definitions of pseudospectra of closed operators in Ba.. (context) - Chaitin-Chatelin, Harrabi - 1998
1 Pseudospectre d'une suite d'operateurs bornes (context) - Harrabi - 1998
1 Handbook on Accuracy and Reliability in Scientific Computing (context) - Chaitin-Chatelin, Traviesas et al. - 2002
Documents on the same site (http://www.cerfacs.fr/~travies/cv.html): More
Understanding Krylov methods in finite precision - Chaitin-Chatelin, Traviesas, .. (2000) (Correct)
A Note on Homotopic Backward Error and Pseudospectra for.. - Toumazou, Traviesas (Correct)
Unknown - Abilit Et La (2000) (Correct)
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