Application of vector extrapolation methods to consistent singular linear systems

DOI10.1016/0168-9274(90)90006-2zbMath0714.65031OpenAlexW2028751909MaRDI QIDQ751179

Avram Sidi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0168-9274(90)90006-2

zbMATH Keywords

iterative methodsvector extrapolation methodsconsistent singular linear systemsvector convergence acceleration

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Iterative numerical methods for linear systems (65F10)

Related Items (max. 100)

The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Efficient implementation of minimal polynomial and reduced rank extrapolation methods ⋮ Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems ⋮ Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations

Cites Work

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• Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
• Convergence acceleration for the iterative solution of the equations X = AX + f
• The Tchebychev iteration for nonsymmetric linear systems
• Least-square acceleration of iterative methods for linear equations
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• Erratum: Correction to “Extrapolation Methods for Vector Sequences”
• A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
• On a Device for Computing the e m (S n ) Transformation

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