Structured Eigenvalue Condition Number and Backward Error of a Class of Polynomial Eigenvalue Problems

DOI10.1137/060675769zbMath1201.65083OpenAlexW1966369875MaRDI QIDQ3584137

Shreemayee Bora

Publication date: 19 August 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ea7c61b05948187a1f6e18ae6a038a21cb79b803

zbMATH Keywords

nonlinear eigenvalue problemsstructured backward errorpalindromic matrix polynomialseven matrix polynomialsodd matrix polynomialsstructured eigenvalue condition number

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of matrix norms, conditioning, scaling (65F35) Matrices over function rings in one or more variables (15A54) Conditioning of matrices (15A12) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (8)

A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error ⋮ On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ Structured eigenvalue condition numbers and linearizations for matrix polynomials ⋮ Structured backward error for palindromic polynomial eigenvalue problems ⋮ Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices ⋮ Localization Theorems for Nonlinear Eigenvalue Problems ⋮ Backward errors for eigenvalues and eigenvectors of Hermitian, skew-Hermitian,H-even andH-odd matrix polynomials

Uses Software

• mctoolbox

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