On the Segré, Weyr characteristics of right (left) regular matrix pencils

DOI10.1080/00207178608933647zbMath0631.15005OpenAlexW1999853086MaRDI QIDQ3767447

Grigoris I. Kalogeropoulos, Nicos Karcanias

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933647

zbMATH Keywords

Toeplitz matriceselementary divisorsSegré characteristicregular pencilsFerrers-type diagramWeierstrass part of the Kronecker formWeyr characteristics

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (16)

Safety neighbournoods for the invariants of the matrix similarity^∗ ⋮ The prime and generalized nullspaces of right regular pencils ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ Nearest rank deficient matrix polynomials ⋮ Nearest Matrix Polynomials With a Specified Elementary Divisor ⋮ Stability of reducing subspaces ⋮ Unnamed Item ⋮ The Weierstrass Canonical Form of a Regular Matrix Pencil: Numerical Issues and Computational Techniques ⋮ The fundamental subspace sequences of matrix pencils: A Toeplitz matrix unified characterization ⋮ On the computation of the Jordan canonical form of regular matrix polynomials ⋮ The numerical Jordan form ⋮ An alternative system of structural invariants of quadruples of matrices ⋮ The algebraic structure of pencils and block Toeplitz matrices ⋮ Pencils of complex and real symmetric and skew matrices ⋮ On bundles of matrix pencils under strict equivalence ⋮ On computing root polynomials and minimal bases of matrix pencils

Cites Work

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• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• The output zeroing problem and its relationship to the invariant zero structure : a matrix pencil approach
• On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion

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