Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems

DOI10.1016/j.laa.2020.07.004zbMath1453.65076arXiv1907.10972OpenAlexW3041411248MaRDI QIDQ2197219

S. Marcaida, María C. Quintana, Froilán M. Dopico, Paul Van Dooren

Publication date: 28 August 2020

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

Full work available at URL: https://arxiv.org/abs/1907.10972

zbMATH Keywords

linearizationnonlinear eigenvalue problemrational matrixrational eigenvalue problempolynomial system matrixblock full rank pencils

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Linearizations (93B18) Eigenvalues, singular values, and eigenvectors (15A18) 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 ⋮ Revisiting the Matrix Polynomial Greatest Common Divisor ⋮ Block full rank linearizations of rational matrices ⋮ Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems ⋮ Generalized Standard Triples for Algebraic Linearizations of Matrix Polynomials ⋮ On minimal bases and indices of rational matrices and their linearizations

Uses Software

• NLEIGS

Cites Work

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