Perturbation analysis for complex symmetric, skew symmetric, even and odd matrix polynomials

zbMath1321.65053MaRDI QIDQ2447358

Sk. Safique Ahmad, Volker Mehrmann

Publication date: 25 April 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/vol.38.2011/pp275-302.dir/pp275-302.html

zbMATH Keywords

perturbation theorybackward errorpolynomial eigenvalue problemeven matrix polynomialodd matrix polynomialcomplex skew-symmetric matrix polynomialcomplex symmetric matrix polynomial

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (8)

Structured perturbation analysis of sparse matrix pencils with \(s\)-specified eigenpairs ⋮ Eigenvalue characterization of some structured matrix pencils under linear perturbation ⋮ Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ Backward error analysis and inverse eigenvalue problems for Hankel and symmetric-Toeplitz structures ⋮ Structured backward error analysis for sparse polynomial eigenvalue problems ⋮ Localization Theorems for Nonlinear Eigenvalue Problems ⋮ Perturbation analysis for palindromic and anti-palindromic nonlinear eigenvalue problems

Uses Software

• NLEVP
• STCSSP

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