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Main Title: Backward errors and pseudospectra for structured nonlinear eigenvalue problems
Author(s): Ahmad, Sk. Safique
Mehrmann, Volker
Type: Research Paper
Abstract: Minimal structured perturbations are constructed such that an approximate eigenpair of a nonlinear eigenvalue problem in homogeneous form is an exact eigenpair of an appropriately perturbed nonlinear matrix function. Structured and unstructured backward errors are compared. These results extend previous results for (structured) matrix polynomials to more general functions. Structured and unstructured pseudospectra for nonlinear eigenvalue problems are also discussed.
Subject(s): nonlinear eigenvalue problem
backward error
symmetric/skew symmetric eigenvalue problem
Hermiitian/skew-Hermitian eigenvalue problem
Issue Date: 6-Jan-2014
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65F15 Eigenvalues, eigenvectors
15A18 Eigenvalues, singular values, and eigenvectors
65F35 Matrix norms, conditioning, scaling
15A12 Conditioning of matrices
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2014, 01
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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