Quotient-difference type generalizations of the power method and their analysis

DOI10.1016/0377-0427(90)90436-4zbMath0714.65060OpenAlexW2062487491MaRDI QIDQ751192

William F. Ford, Avram Sidi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90436-4

zbMATH Keywords

normed linear spacelargest eigenvaluelinear operatorspectral analysispower methodvector extrapolation methodsvector sequencesquotient difference algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalue problems for linear operators (47A75) Numerical methods for discrete and fast Fourier transforms (65T50)

Cites Work

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• Recursive algorithms for vector extrapolation methods
• On extensions of the power method for normal operators
• Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Acceleration of Convergence of Vector Sequences
• Convergence and Stability Properties of Minimal Polynomial and Reduced Rank Extrapolation Algorithms
• On a Device for Computing the e m (S n ) Transformation

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