Root vectors of polynomial and rational matrices: theory and computation

DOI10.1016/j.laa.2022.10.013zbMath1504.15028arXiv2204.10955OpenAlexW4306155041MaRDI QIDQ2093531

Vanni Noferini, Paul Van Dooren

Publication date: 8 November 2022

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

Full work available at URL: https://arxiv.org/abs/2204.10955

zbMATH Keywords

eigenvalueeigenvectorrational matrixSmith formroot vectormaximal setminimal basisroot polynomialcoalescent pole/zerolocal Smith form

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (6)

The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials ⋮ Perturbation Theory of Transfer Function Matrices ⋮ Revisiting the Matrix Polynomial Greatest Common Divisor ⋮ On generalizing trace minimization principles. II ⋮ Invertible bases and root vectors for analytic matrix-valued functions ⋮ On computing root polynomials and minimal bases of matrix pencils

Uses Software

• NLEIGS

Cites Work

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