On the quadratic two-parameter eigenvalue problem and its linearization

DOI10.1016/j.laa.2009.12.022zbMath1189.65070OpenAlexW2101827296MaRDI QIDQ962084

Andrej Muhič, Bor Plestenjak

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.022

zbMATH Keywords

algorithmgeneralized eigenvalue problemmodel updatingKronecker canonical formlinearisationsingular two-parameter eigenvalue problemstaircase methodtwo-parameter quadratic eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

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Cites Work

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• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II
• A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem
• Partitioned kronecker products of matrices and applications
• On the Pseudospectra of Matrix Polynomials
• Multiparameter spectral theory

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