Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations

DOI10.1137/S106482759631370XzbMath0949.65054OpenAlexW2050431046MaRDI QIDQ4702359

Jean-Paul Chehab, Claude Brezinski

Publication date: 24 November 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s106482759631370x

zbMATH Keywords

algorithmsnonlinear systemsnumerical examplesconvergence accelerationrelaxationbifurcationsreaction-diffusion problemsRichardson extrapolationsteepest descent methodfixed point methodshybrid procedure

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (9)

Cooperative concurrent asynchronous computation of the solution of symmetric linear systems ⋮ Two new iterative schemes to approximate the fixed points for mappings ⋮ Bi-parameter incremental unknowns ADI iterative methods for elliptic problems ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems ⋮ Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes ⋮ Vector and matrix sequence transformations based on biorthogonality ⋮ New iterative schemes for nonlinear fixed point problems, with applications to problems with bifurcations and incomplete-data problems ⋮ Vector sequence transformations: Methodology and applications to linear systems

Uses Software

• na1

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