On the distance from a weakly normal matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue

DOI10.13001/1081-3810.2921zbMath1332.15025arXiv1410.3082OpenAlexW2964298388MaRDI QIDQ2794398

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Publication date: 10 March 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3082

zbMATH Keywords

eigenvalueperturbationnormalitymatrix polynomialsingular value

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (2)

Nearest linearly structured polynomial matrix with some prescribed distinct eigenvalues ⋮ On uniform connectivity of algebraic matrix sets

Cites Work

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• Note on matrices with a very ill-conditioned eigenproblem
• Fixing two eigenvalues by a minimal perturbation
• The Quadratic Eigenvalue Problem
• Normal matrix polynomials with nonsingular leading coefficients
• Normal and seminormal eigenvalues of matrix functions

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