Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis

DOI10.1016/j.laa.2019.02.003zbMath1416.65095arXiv1806.10544OpenAlexW2962817835WikidataQ128491114 ScholiaQ128491114MaRDI QIDQ2418992

María C. Quintana, S. Marcaida, Froilán M. Dopico

Publication date: 29 May 2019

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

Full work available at URL: https://arxiv.org/abs/1806.10544

zbMATH Keywords

rational matrixstrong linearizationrational eigenvalue problemrecovery of eigenvectorsHermitian strong linearizationstrong block minimal bases pencilsymmetric strong linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalue problems (93B60) Linearizations (93B18) Minimal systems representations (93B20) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (8)

Linearizations of rational matrices from general representations ⋮ Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices ⋮ Perturbation Theory of Transfer Function Matrices ⋮ Structured eigenvalue backward errors for rational matrix functions with symmetry structures ⋮ Block full rank linearizations of rational matrices ⋮ Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems ⋮ On minimal bases and indices of rational matrices and their linearizations ⋮ Structured strong linearizations of structured rational matrices

Uses Software

• NLEIGS

Cites Work

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