Some convergence results on the method of gradients for \(Ax=\lambda Bx\)

DOI10.1016/S0022-0000(76)80031-1zbMath0341.65026OpenAlexW2059582906MaRDI QIDQ1231756

Stephen F. McCormick

Publication date: 1976

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/213961

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (2)

Residual algorithm for large-scale positive definite generalized eigenvalue problems ⋮ A geometric theory for preconditioned inverse iteration. I: Extrema of Rayleigh quotient

Cites Work

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• An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems
• Solution of eigenvalue problems in Hilbert spaces by a gradient method
• On the computation of selected eigenvalues
• The computation of eigenvalues and eigenvectors of a completely continuous self-adjoint operator
• A gradient method for the matrix eigenvalue problem \(Ax = \lambda Bx\)
• A general approach to one-step iterative methods with application to eigenvalue problems

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