Vector space of linearizations for the quadratic two-parameter matrix polynomial

DOI10.1080/03081087.2012.697676zbMath1266.65058arXiv1201.1350OpenAlexW1992712925MaRDI QIDQ5300047

Bibhas Adhikari

Publication date: 24 June 2013

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

Full work available at URL: https://arxiv.org/abs/1201.1350

zbMATH Keywords

linearizationmatrix polynomialquadratic two-parameter eigenvalue problemtwo-parameter eigenvalue problemtwo-parameter matrix polynomial

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Matrix pencils (15A22)

Cites Work

• On linearizations of the quadratic two-parameter eigenvalue problem
• Fiedler companion linearizations for rectangular matrix polynomials
• On the quadratic two-parameter eigenvalue problem and its linearization
• Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations
• An approach to solving multiparameter algebraic problems
• The multiparameters eigenvalue problem: Jordan vector semilattices
• Critical delays and polynomial eigenvalue problems
• On the singular two-parameter eigenvalue problem
• On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
• Stability and hyperbolicity of linear systems with delayed state: a matrix-pencil approach
• A matrix method for determining the imaginary axis eigenvalues of a delay system
• A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem
• Vector Spaces of Linearizations for Matrix Polynomials

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