Finite and infinite structures of rational matrices: a local approach

DOI10.13001/1081-3810.3028zbMath1326.15028OpenAlexW568860221MaRDI QIDQ3448183

Zaballa, I., A. Amparan, S. Marcaida

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.13001/1081-3810.3028

zbMATH Keywords

Möbius transformationspolynomial matriceslocalizationelementary divisorrational matricesSmith-McMillan formfinite structureinfinite structuresystem of invariants

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

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Linearizations of rational matrices from general representations ⋮ On coprime rational function matrices ⋮ Strong Linearizations of Rational Matrices ⋮ On matrix polynomials with the same finite and infinite elementary divisors ⋮ Linearizations of matrix polynomials in Newton bases ⋮ Spectral filters connecting high order systems ⋮ Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices ⋮ Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis ⋮ Block full rank linearizations of rational matrices ⋮ Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems ⋮ Quasi-triangularization of matrix polynomials over arbitrary fields ⋮ Möbius transformations of matrix polynomials ⋮ Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data ⋮ Root vectors of polynomial and rational matrices: theory and computation

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