Aitken's and Steffensen's accelerations in several variables

DOI10.1007/BF01385782zbMath0712.65037OpenAlexW1979173135MaRDI QIDQ749161

Yves Nievergelt

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133551

zbMATH Keywords

convergencenonlinear systemsAitken's accelerationiterations of a linear transformationSteffensen's acceleration

Mathematics Subject Classification ID

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

Related Items

Linear convergence for vector sequences and some applications ⋮ Accelerating convergence in minisum location problem with \(\ell p\) norms ⋮ Modelling rankings in R: the \textbf{PlackettLuce} package ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations ⋮ Iterative residual-based vector methods to accelerate fixed point iterations ⋮ Simple and Globally Convergent Methods for Accelerating the Convergence of Any EM Algorithm ⋮ Une généralisation au cas vectoriel du procédé $\Delta ^2$ d’Aitken et les suites à comportement linéaire ⋮ Extension of Henrici's method to matrix sequences ⋮ A unified approach to compute foliations, inertial manifolds, and tracking solutions

Cites Work

• The Steffensen iteration method for systems of nonlinear equations
• The Aitken-Steffensen formula for systems of nonlinear equations. III
• Numerical Linear Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item