Vector and matrix sequence transformations based on biorthogonality

DOI10.1016/S0168-9274(96)00019-0zbMath0865.65001MaRDI QIDQ2564291

Claude Brezinski, Michela Redivo-Zaglia

Publication date: 7 January 1997

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

zbMATH Keywords

convergence accelerationextrapolationbiorthogonalitytheta-algorithmsystems of linear and nonlinear equationsmatrix sequence transformations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Extrapolation to the limit, deferred corrections (65B05) Iterative numerical methods for linear systems (65F10)

Related Items (10)

Block extrapolation methods with applications ⋮ New vector sequence transformations ⋮ Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ Shanks Sequence Transformations and Anderson Acceleration ⋮ Convergence acceleration of Kaczmarz's method ⋮ Convergence acceleration during the 20th century ⋮ Matrix polynomial and epsilon-type extrapolation methods with applications ⋮ Vector sequence transformations: Methodology and applications to linear systems ⋮ On some matrix extrapolation methods ⋮ Biorthogonal vector sequence transformations and Padé approximation of vector series

Cites Work

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• Recursive interpolation, extrapolation and projection
• Quasilinear vector extrapolation methods
• Extrapolation vs. projection methods for linear systems of equations
• Recursive algorithms for vector extrapolation methods
• A general extrapolation algorithm
• Extrapolation methods theory and practice
• 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
• About Henrici's transformation for accelerating vector sequences
• A general projection algorithm for solving systems of linear equations
• A general extrapolation procedure revisited
• A derivation of extrapolation algorithms based on error estimates
• Variations on Richardson's method and acceleration
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Convergence and Stability Properties of Minimal Polynomial and Reduced Rank Extrapolation Algorithms
• Acceleration of the convergence of iterative processes and a method of solving systems of non-linear equations
• Some New Convergence Acceleration Methods
• A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
• Nonlinear hybrid procedures and fixed point iterations
• Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations
• Matrix and vector sequence transformations revisited
• The use of badly converging iterative processes for the solution of sets of linear equations
• On a Device for Computing the e m (S n ) Transformation

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