Low rank perturbations of strongly definitizable transformations and matrix polynomials

DOI10.1016/0024-3795(94)90479-0zbMath0793.15002OpenAlexW2026712704MaRDI QIDQ1319978

Qiang Ye, Alexander Markus, Peter Lancaster

Publication date: 16 May 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90479-0

zbMATH Keywords

indefinite scalar productlow rank perturbationsnumber of real eigenvaluesquadratic matrix polynomialsselfadjoint transformation

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54)

Related Items (9)

Some remarks on factorization of selfadjoint matrix functions ⋮ Minimal symmetric factorizations of symmetric real and complex rational matrix functions ⋮ The order of neutrality for linear operators on inner product spaces ⋮ On self-adjoint matrix polynomials with constant signature ⋮ Factorization of selfadjoint quadratic matrix polynomials with real spectrum ⋮ Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification ⋮ Factorization of selfadjoint matrix polynomials with reas Spectrum ⋮ Definite triples of Hermitian matrices and matrix polynomials ⋮ Symmetric matrices with respect to sesquilinear forms

Cites Work

• Matrices and indefinite scalar products
• Maximal invariant neutral subspaces and an application to the algebraic Riccati equation
• An introduction to operator polynomials
• Definitizable Hermitian matrix pencils
• Über eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilbertraum
• Overdamped and Gyroscopic Vibrating Systems
• Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum
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