Generic rank-one perturbations of structured regular matrix pencils

DOI10.1016/j.laa.2014.06.041zbMath1294.15011OpenAlexW2127635256MaRDI QIDQ2250956

Leonhard Batzke

Publication date: 22 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.06.041

zbMATH Keywords

eigenvalueperturbation theorymatrix pencilJordan blockstructure-preservinggeneric perturbationrank-one perturbationsymmetric matrix pencilpalindromic matrix pencilalternating matrix pencil

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22) Linear preserver problems (15A86)

Related Items

Completion of matrix pencils with a single rank restriction ⋮ A Geometric Description of the Sets of Palindromic and Alternating Matrix Pencils with Bounded Rank ⋮ Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations ⋮ Generic symmetric matrix pencils with bounded rank ⋮ The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation ⋮ Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree ⋮ Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade ⋮ Eigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations ⋮ Bounded rank perturbations of regular pencils over arbitrary fields ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ Bounded rank perturbations of a regular matrix pencil ⋮ Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields ⋮ Rank-one perturbations of matrix pencils ⋮ Low-rank perturbation of regular matrix pencils with symmetry structures ⋮ Weierstrass Structure and Eigenvalue Placement of Regular Matrix Pencils under Low Rank Perturbations ⋮ Rank One Perturbations of Matrix Pencils ⋮ Double generalized majorization and diagrammatics

Uses Software

• PEPACK

Cites Work

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