Stabilité d'un algorithme de recherche de valeur propre de problème généralisé

J.-P. Berlioz

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

  • Volume: 14, Issue: 3, page 227-238
  • ISSN: 0764-583X

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Berlioz, J.-P.. "Stabilité d'un algorithme de recherche de valeur propre de problème généralisé." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 14.3 (1980): 227-238. <http://eudml.org/doc/193359>.

@article{Berlioz1980,
author = {Berlioz, J.-P.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {stability; perturbed eigenvalue problem; QZ-algorithm; generalized eigenvalue problem; QR-algorithm},
language = {fre},
number = {3},
pages = {227-238},
publisher = {Dunod},
title = {Stabilité d'un algorithme de recherche de valeur propre de problème généralisé},
url = {http://eudml.org/doc/193359},
volume = {14},
year = {1980},
}

TY - JOUR
AU - Berlioz, J.-P.
TI - Stabilité d'un algorithme de recherche de valeur propre de problème généralisé
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1980
PB - Dunod
VL - 14
IS - 3
SP - 227
EP - 238
LA - fre
KW - stability; perturbed eigenvalue problem; QZ-algorithm; generalized eigenvalue problem; QR-algorithm
UR - http://eudml.org/doc/193359
ER -

References

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  1. 1 C LEBAUD, Contribution a l’etude de l’algorithme Q R , Thèse, Université de Rennes, 1971 
  2. 2 C LEBAUD, Sur la définition de la convergence de l'algorithme QR théorème de convergence et de stabilité, Séminaire de Mathématiques Superieures, 14e session, Université de Montreal, 1975 Zbl0367.65021
  3. 3 J -P BERLIOZ, A propos de l'algorithme QZ, RAIRO, Analyse numérique, vol 13, n° 1, 1979, p 21-30 Zbl0397.65027MR527036
  4. 4 F R GANTMACHER, Applications of the Theory of Matrices, Interscience Publishers, 1959 Zbl0085.01001MR107648
  5. 5 C MOLER et C W STEWART, An Algonthm for Generalized Matrice Eigenvalue Problems SIAMJ Numer Anal vol 10 1973 p 241-256 Zbl0253.65019MR345399
  6. 6 C W STEWART, Perturbation Bounds for the QR Factorization of a Matrice, SIAM J Numer Anal , vol 14, 1977, p 509-518 Zbl0358.65038MR436566
  7. 7 J H WILKINSON, Some Recent Advances in Numerical Linear Algebra, The State of the Art on Numerical Analysis, Academic Press, 1977, p 3-51 MR455326
  8. 8 J H WILKINSON, The Algebraic Eigenvalue Problem, Oxford University Press, 1965 Zbl0258.65037MR184422

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