GMRES with multiple preconditioners
type: Item
instance of: scholarly article
title: GMRES with multiple preconditioners
zbMATH Open document ID: 1383.65026
author: Chen Greif
author: Tyrone Rees
author: Daniel B. Szyld
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2018-02-23T00:00:00Z
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F08
zbMATH DE Number: 6843081
zbMATH Keywords: iterative methods
zbMATH Keywords: preconditioning
zbMATH Keywords: Krylov subspace methods
zbMATH Keywords: generalized minimal residual (GMRES) method
zbMATH Keywords: numerical example
describes a project that uses: HSL
MaRDI profile type: Publication
full work available at URL: s40324-016-0088-7
OpenAlex ID: W2425279105
cites work: A Combined Preconditioning Strategy for Nonsymmetric Systems
cites work: Multipreconditioned Gmres for Shifted Systems
cites work: Block preconditioners for elliptic PDE-constrained optimization problems
cites work: Preconditioning techniques for large linear systems: A survey
cites work: Alternating Direction Implicit Methods
cites work: A Multipreconditioned Conjugate Gradient Algorithm
cites work: Flexible variants of block restarted GMRES methods with application to geophysics
cites work: Nested Krylov methods based on GCR
cites work: Algebraic properties of the block GMRES and block Arnoldi methods
cites work: Block Preconditioners Based on Approximate Commutators
cites work: Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics
cites work: Model reduction methods based on Krylov subspaces
cites work: A framework for deflated and augmented Krylov subspace methods
cites work: Any Nonincreasing Convergence Curve is Possible for GMRES
cites work: The block conjugate gradient algorithm and related methods
cites work: Optimization with PDE Constraints
cites work: Combination Preconditioning and the Bramble–Pasciak$^{+}$ Preconditioner
cites work: Alternating Direction Methods on Multiprocessors
cites work: A Preconditioner for the Steady-State Navier--Stokes Equations
cites work: Constraint Preconditioning for Indefinite Linear Systems
cites work: Exact and inexact breakdowns in the block GMRES method
cites work: Q4940821
cites work: Multi-Splittings of Matrices and Parallel Solution of Linear Systems
cites work: A new approximation of the Schur complement in preconditioners for PDE-constrained optimization.
cites work: Combination preconditioning of saddle point systems for positive definiteness
cites work: Optimal Solvers for PDE-Constrained Optimization
cites work: Implementation Aspects of Band Lanczos Algorithms for Computation of Eigenvalues of Large Sparse Symmetric Matrices
cites work: A Flexible Inner-Outer Preconditioned GMRES Algorithm
cites work: Q4414854
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices
cites work: Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems
cites work: Optimal left and right additive Schwarz preconditioning for minimal residual methods with Euclidean and energy norms
cites work: Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
cites work: Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
cites work: Convergence properties of block GMRES and matrix polynomials
cites work: On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
cites work: Recent computational developments in Krylov subspace methods for linear systems
cites work: Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems
cites work: Q3558349
DOI: 10.1007/S40324-016-0088-7
description: scientific article; zbMATH DE number 6843081