Trimmed linearizations for structured matrix polynomials

DOI10.1016/j.laa.2008.01.005zbMath1155.65026OpenAlexW2034844742MaRDI QIDQ952032

Volker Mehrmann, Ralph Byers, Hong-guo Xu

Publication date: 6 November 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.005

zbMATH Keywords

eigenvalueeigenvectorscanonical formmatrix polynomialstaircase formKronecker chainstructure preserving linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items

First order spectral perturbation theory of square singular matrix polynomials, Stratification of full rank polynomial matrices, Spectral equivalence of matrix polynomials and the index sum theorem, The nonlinear eigenvalue problem, Singular quadratic eigenvalue problems: linearization and weak condition numbers, Fiedler companion linearizations for rectangular matrix polynomials, Ralph Byers 1955--2007, Palindromic companion forms for matrix polynomials of odd degree, Möbius transformations of matrix polynomials, Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations, Distance problems for dissipative Hamiltonian systems and related matrix polynomials, Cone-constrained rational eigenvalue problems, Root polynomials and their role in the theory of matrix polynomials, Backward errors for eigenvalues and eigenvectors of Hermitian, skew-Hermitian,H-even andH-odd matrix polynomials, On why using \(\mathbb{DL}(P)\) for the symmetric polynomial eigenvalue problem might need to be reconsidered

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