Safety neighbournoods for the invariants of the matrix similarity∗

DOI10.1080/03081089908818604zbMath0938.15005OpenAlexW2090877858MaRDI QIDQ4264401

Unnamed Author, Inmaculada de Hoyos, Juan-Miguel Gracia

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1080/03081089908818604

zbMATH Keywords

Jordan canonical formsingular valuesinvariant factorsmatrix similarityderogatory matrixquantitative perturbation

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21)

Related Items (5)

A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg Matrices ⋮ Nearest matrix with a prescribed eigenvalue of bounded multiplicities ⋮ The verification of multiplicity support of a defective eigenvalue of a real matrix ⋮ Nearest matrix with two prescribed eigenvalues ⋮ Geometric multiplicity margin for a submatrix

Cites Work

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• The change of the Jordan structure of a matrix under small perturbations
• Between controllable and uncontrollable
• On neighbouring matrices with quadratic elementary divisors
• On perturbations and the equivalence orbit of a matrix pencil
• Semi-stability of sums of partial multiplicities under additive perturbation
• Bounds for the variation of matrix eigenvalues and polynomial roots
• On the Segré, Weyr characteristics of right (left) regular matrix pencils
• A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
• Computing the distance to an uncontrollable system

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