About Henrici's transformation for accelerating vector sequences

DOI10.1016/0377-0427(90)90199-AzbMath0686.65001OpenAlexW2058546081MaRDI QIDQ1262687

Hassane Sadok

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)90199-a

zbMATH Keywords

convergence accelerationsequence transformationvector sequencesH algorithmHenrici's transformation

Mathematics Subject Classification ID

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

Related Items

Linear convergence for vector sequences and some applications, The condition of Steffensen's acceleration in several variables, Henrici's transformation and its application to the computation of derivatives of eigensystems, Accelerating convergence in minisum location problem with \(\ell p\) norms, Extension of the Lanczos and CGS methods to systems of nonlinear equations, Matrix and vector sequence transformations revisited, The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods, Geometric approach to the parallel sum of vectors and application to the vector \(\varepsilon \)-algorithm, Some results about vector extrapolation methods and related fixed-point iterations, Quasilinear vector extrapolation methods, Nonlinear hybrid procedures and fixed point iterations, Extension of Henrici's method to matrix sequences, Vector and matrix sequence transformations based on biorthogonality, \(\text{GL}(E)\)-quasilinear transformations and acceleration, Vector sequence transformations: Methodology and applications to linear systems, Vector extrapolation methods. Applications and numerical comparison, Sequences of transformations and triangular recursion schemes, with applications in numerical analysis

Cites Work

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• Some vector sequence transformations with applications to systems of equations
• Other manifestations of the Schur complement
• Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
• Accélération de la convergence en analyse numérique
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization