Comments on: ``Anderson acceleration, mixing and extrapolation

DOI10.1007/s11075-018-0549-4zbMath1477.65010OpenAlexW2808055467MaRDI QIDQ1710716

Donald G. M. Anderson

Publication date: 23 January 2019

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

Full work available at URL: http://nrs.harvard.edu/urn-3:HUL.InstRepos:34773632

zbMATH Keywords

convergence accelerationPicard iterationfixed point problemsAnderson accelerationAnderson mixingroot-finding problems

Mathematics Subject Classification ID

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

Related Items (8)

Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations ⋮ One-step convergence of inexact Anderson acceleration for contractive and non-contractive mappings ⋮ On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration ⋮ Composite Anderson acceleration method with two window sizes and optimized damping ⋮ Nonmonotone globalization for Anderson acceleration via adaptive regularization ⋮ Enhancing electrical impedance tomography reconstruction using learned half-quadratic splitting networks with Anderson acceleration ⋮ Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods

Uses Software

• Anderson
• NKA

Cites Work

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• A comparative study on methods for convergence acceleration of iterative vector sequences
• Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the \(k\)-eigenvalue problem
• Two classes of multisecant methods for nonlinear acceleration
• Anderson Acceleration for Fixed-Point Iterations
• Matrix Analysis
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Convergence Analysis for Anderson Acceleration
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Iterative Procedures for Nonlinear Integral Equations

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