Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Hermitian and Related Structures

DOI10.1137/130925621zbMath1304.15016OpenAlexW1964067206MaRDI QIDQ2923352

Michael Karow, Punit Sharma, Shreemayee Bora, Christian Mehl

Publication date: 15 October 2014

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

Full work available at URL: https://depositonce.tu-berlin.de//handle/11303/7279

zbMATH Keywords

eigenvalueperturbationsHermitian matrix polynomialHermitian matrix pencileigenvalue backward errorstructured mapping problem

Mathematics Subject Classification ID

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Optimizing the Rayleigh quotient with symmetric constraints and its application to perturbations of structured polynomial eigenvalue problems ⋮ Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis ⋮ Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic ⋮ Structured eigenvalue backward errors for rational matrix functions with symmetry structures ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils ⋮ Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control ⋮ Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations ⋮ Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Palindromic Structures ⋮ Estimation of Structured Distances to Singularity for Matrix Pencils with Symmetry Structures: A Linear Algebra--Based Approach

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