On the Change of the Weyr Characteristics of Matrix Pencils After Rank-One Perturbations

DOI10.1137/21M1416497zbMath1494.15014OpenAlexW4283641982MaRDI QIDQ5088660

Alicia Roca, Itziar Baragaña

Publication date: 13 July 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1416497

zbMATH Keywords

matrix pencilJordan chainrank perturbations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Cites Work

• Eigenstructure of rank one updated matrices
• On convexity of polynomial paths and generalized majorizations
• Typical changes in spectral properties under perturbation by an operator of rank one.
• Rank-one perturbations of matrix pencils
• On the change in the spectral properties of a matrix under perturbations of sufficiently low rank
• Finite rank perturbations of linear relations and matrix pencils
• Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations
• Points of Continuity of the Kronecker Canonical Form
• The Jordan forms of AB and BA
• Low Rank Perturbation of Weierstrass Structure
• The rank of the difference of matrices with prescribed similarity classes
• Invariant Factors Under Rank One Perturbations
• Low Rank Perturbation of Jordan Structure
• Weierstrass Structure and Eigenvalue Placement of Regular Matrix Pencils under Low Rank Perturbations
• Pole Assignment and Additive Perturbations of Fixed Rank
• Matrix Polynomials
• Low Rank Perturbation of Kronecker Structures without Full Rank
• Matrices
• Rank One Perturbations of Matrix Pencils

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