Rayleigh quotient iteration fails for nonsymmetric matrices

DOI10.1016/0893-9659(89)90107-9zbMath0706.65037OpenAlexW2019268529MaRDI QIDQ918632

John Smillie, Steve Batterson

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90107-9

zbMATH Keywords

eigenspaceRayleigh quotient iterationnonsymmetric matricestest examples with divergence

Mathematics Subject Classification ID

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

Related Items (4)

Complexity of path-following methods for the eigenvalue problem ⋮ Rayleigh quotient iteration fails for nonsymmetric matrices ⋮ Rayleigh Quotient Iteration for Nonsymmetric Matrices ⋮ Convergence of algorithms of decomposition type for the eigenvalue problem

Cites Work

• Rayleigh quotient iteration fails for nonsymmetric matrices
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• On the Bounds of a One-Parametric Family of Matrices.
• The Dynamics of Rayleigh Quotient Iteration
• The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices

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