Premium
Error bounds for non‐selfadjoint PDE eigenvalue problems
Author(s) -
Mehrmann Volker,
Międlar Agnieszka
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010268
Subject(s) - eigenfunction , eigenvalues and eigenvectors , diagonalizable matrix , mathematics , eigenvalue perturbation , divide and conquer eigenvalue algorithm , a priori and a posteriori , mathematical analysis , symmetric matrix , physics , philosophy , epistemology , quantum mechanics
We introduce a posteriori bounds for the eigenfunctions (eigenvalues) of non‐selfadjoint diagonalizable PDE‐eigenvalue problems which incorporates an inexact solution of the corresponding generalized matrix eigenvalue problem. The estimates combine the standard perturbation results with the saturation assumption for the eigenfunctions. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)