L.B. Nguenang ; Emmanuel Kamgnia ; Bernard Philippe - Localisation robuste et dénombrement de valeurs propres

arima:1983 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, November 30, 2015, Volume 19 - 2015 - Special issue - CRI'13 - https://doi.org/10.46298/arima.1983
Localisation robuste et dénombrement de valeurs propresArticle

Authors: L.B. Nguenang 1,2; Emmanuel Kamgnia 1,2; Bernard Philippe 3

  • 1 Département d'Informatique [Yaoundé]
  • 2 Département d'Informatique [Yaoundé I]
  • 3 Simulations and Algorithms on Grids for Environment

This article deals with the localization of eigenvalues of a large sparse and not necessarilysymmetric matrix in a domain of the complex plane. It combines two studies carried out earlier.The first work deals with the effect of applying small perturbations on a matrix, and referred to ase -spectrum or pseudospectrum. The second study describes a procedure for counting the numberof eigenvalues of a matrix in a region of the complex plain surrounded by a closed curve. The twomethods are combined in order to share the LU factorization of the resolvent, that intervenes in thetwo methods, so as to reduce the cost. The codes obtained are parallelized.

Volume: Volume 19 - 2015 - Special issue - CRI'13
Published on: November 30, 2015
Submitted on: May 26, 2015
Keywords: Pseudospectrum,eigenvalue,counting, determinant,minimum singular value, orbit,trace, client-server, Master,Workers,speedup, efficiency, Efficacité,Pseudospectre,dénombrement de valeurs propres,déterminant,valeur singulière minimale, orbite, trace, Client-serveur, Maître,Accélération,Efficacité,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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