An algorithm for the symmetric generalized eigenvalue problem

DOI10.1016/0024-3795(84)90203-9zbMath0575.65028OpenAlexW2081589555WikidataQ127031210 ScholiaQ127031210MaRDI QIDQ1064011

Angelika Bunse-Gerstner

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90203-9

zbMATH Keywords

convergencenumerical examplesreductiongeneralized eigenvalue problempositive semidefinitetriangularHessenbergreal symmetric

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
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• Reduction of the symmetric eigenproblem \(Ax =\lambda Bx\) and related problems to standard form
• The $LZ$-Algorithm to Solve the Generalized Eigenvalue Problem
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• Gershgorin Theory for the Generalized Eigenvalue Problem Ax = λBx
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• An Algorithm for the Ill-Conditioned Generalized Eigenvalue Problem
• An Algorithm for Generalized Matrix Eigenvalue Problems
• On Best Conditioned Matrices