Two algorithms for treating \(Ax=\lambda Bx\)

DOI10.1016/0045-7825(77)90011-1zbMath0363.65026OpenAlexW2052659155MaRDI QIDQ1240521

H. R. Schwarz

Publication date: 1977

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(77)90011-1

Mathematics Subject Classification ID

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

Related Items (5)

A partial preconditioned conjugate gradient method for large eigenproblems ⋮ Bisection for Ax=lambdaBx with matrices of variable band width ⋮ Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3926873 Simultane Iterationsverfahren f�r gro�e allgemeine Eigenwertprobleme] ⋮ Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems

Cites Work

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• The eigenvalue problem \((A-\lambda B)x = 0\) for symmetric matrices of high order
• The method of coordinate overrelaxation for \((A-\lambda B)x = 0\)
• Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices
• 𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices
• Eigenvalues of Ax =  Bx with band symmetric A and B
• Solution of eigenvalue problems by sturm sequence method
• Eigenproblem solution by a combined Sturm sequence and inverse iteration technique

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