A note on the Rayleigh quotient iteration for symmetric eigenvalue problems

DOI10.1007/s13160-014-0148-2zbMath1309.65039OpenAlexW2140314231MaRDI QIDQ2257614

Kensuke Aishima

Publication date: 25 February 2015

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-014-0148-2

zbMATH Keywords

algorithmconvergenceRayleigh quotient iterationsymmetric eigenvalue problems

Mathematics Subject Classification ID

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

Related Items (2)

Convergence proof of the harmonic Ritz pairs of iterative projection methods with restart strategies for symmetric eigenvalue problems ⋮ On convergence of iterative projection methods for symmetric eigenvalue problems

Uses Software

• JDQR
• JDQZ

Cites Work

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• On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I, II
• Global convergence of tridiagonal QR algorithm with origin shifts
• Matrix Algorithms
• The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
• Templates for the Solution of Algebraic Eigenvalue Problems
• A Geometric Theory for the $QR$, $LU$ and Power Iterations

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