Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm

DOI10.1016/0024-3795(75)90113-5zbMath0311.65028OpenAlexW2055552281MaRDI QIDQ1219544

Claude Brezinski

Publication date: 1975

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(75)90113-5

Mathematics Subject Classification ID

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

Related Items (10)

Non-commutative extrapolation algorithms ⋮ Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices ⋮ An algebraic approach to the vector \(\varepsilon\)-algorithm ⋮ Degeneracies of generalized inverse, vector-valued Padé approximants ⋮ Convergence acceleration of Kaczmarz's method ⋮ Particular rules for the vector \(\varepsilon\)-algorithm ⋮ Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme ⋮ Computation of Padé approximants and continued fractions ⋮ Quotient-difference type generalizations of the power method and their analysis ⋮ Vector sequence transformations: Methodology and applications to linear systems

Cites Work

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• Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
• Some results in the theory of the vector \(\varepsilon\)-algorithm
• Vector continued fractions
• A note on the \(\epsilon\)-algorithm
• Acceleration Techniques for Iterated Vector and Matrix Problems
• The Solution of Systems of Equations Using the ε-Algorithm, and an Application to Boundary-Value Problems
• On the Convergence and Stability of the Epsilon Algorithm
• On the Solution of Systems of Equations by the Epsilon Algorithm of Wynn
• On a Device for Computing the e m (S n ) Transformation

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