Anderson acceleration as a Krylov method with application to convergence analysis

Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10)

Cites Work

Damped Anderson Acceleration With Restarts and Monotonicity Control for Accelerating EM and EM-like Algorithms
Anderson acceleration and application to the three-temperature energy equations
Benchmarking results for the Newton-Anderson method
Krylov subspace acceleration for nonlinear multigrid schemes
A characterization of the behavior of the Anderson acceleration on linear problems
On the asymptotic linear convergence speed of Anderson acceleration applied to ADMM
Composing Scalable Nonlinear Algebraic Solvers
A Nonlinear GMRES Optimization Algorithm for Canonical Tensor Decomposition
Steepest descent preconditioning for nonlinear GMRES optimization
Two classes of multisecant methods for nonlinear acceleration
Numerical Computing with <scp>Matlab</scp>
Anderson Acceleration for Fixed-Point Iterations
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows
Optimal-order convergence of Nesterov acceleration for linear ill-posed problems*
Anderson acceleration for contractive and noncontractive operators
Anderson Accelerated Douglas--Rachford Splitting
On the Asymptotic Linear Convergence Speed of Anderson Acceleration, Nesterov Acceleration, and Nonlinear GMRES
A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically)
Convergence Analysis for Anderson Acceleration
Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
A Technique for Accelerating the Convergence of Restarted GMRES
Accelerating the Uzawa Algorithm
Iterative Procedures for Nonlinear Integral Equations
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis

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