Some vector sequence transformations with applications to systems of equations

DOI10.1007/BF02141917zbMath0794.65002OpenAlexW1964639132MaRDI QIDQ688102

Hassane Sadok, Claude Brezinski

Publication date: 31 August 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02141917

zbMATH Keywords

recursive algorithmsLanczos' method\(G\)-transformationCGS methodfixed point iterationsShanks transformationvector sequence transformation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Extrapolation to the limit, deferred corrections (65B05)

Related Items

Look-ahead in Bi-CGSTAB and other product methods for linear systems, Henrici's transformation and its application to the computation of derivatives of eigensystems, Hybrid vector transformations, The methods of Vorobyev and Lanczos, Other manifestations of the Schur complement, Breakdowns in the implementation of the Lánczos method for solving linear systems, About Henrici's transformation for accelerating vector sequences, Nonlinear hybrid procedures and fixed point iterations, Extension of Henrici's method to matrix sequences, Vector sequence transformations: Methodology and applications to linear systems

Uses Software

• CGS

Cites Work

• Padé-type approximation and general orthogonal polynomials
• A new presentation of orthogonal polynomials with applications to their computation
• Extrapolation methods theory and practice
• Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
• Accélération de la convergence en analyse numérique
• Lanczos-type algorithms for solving systems of linear equations
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• An Algorithm for the Computation of the Higher OrderG-Transformation