A new preconditioner for indefinite and asymmetric matrices

DOI10.1016/j.amc.2013.03.016zbMath1302.65073OpenAlexW2070030597MaRDI QIDQ482459

Ting-Zhu Huang, Chun Wen, Chao Wang

Publication date: 30 December 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.016

zbMATH Keywords

sparse matrixKrylov subspace methodsystems of linear equationsproduct preconditioner

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (12)

Localized method of approximate particular solutions with polynomial basis functions ⋮ A dimension expanded preconditioning technique for block two-by-two linear equations ⋮ The method of particular solutions for solving nonlinear Poisson problems ⋮ Solving fourth order differential equations using particular solutions of Helmholtz-type equations ⋮ A modified product preconditioner for indefinite and asymmetric generalized saddle-point matrices ⋮ Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains ⋮ Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations ⋮ The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations ⋮ The LMAPS for solving fourth-order PDEs with polynomial basis functions ⋮ Analysis on the method of fundamental solutions for biharmonic equations ⋮ An efficient method of approximate particular solutions using polynomial basis functions ⋮ Hybrid method of space-time and Houbolt methods for solving linear time-dependent problems

Uses Software

• SparseMatrix

Cites Work

• Unnamed Item
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• Preconditioning techniques for nonsymmetric and indefinite linear systems
• Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
• Optimal low order finite element methods for incompressible flow
• Positive stable block triangular preconditioners for symmetric saddle point problems
• Preconditioning Highly Indefinite and Nonsymmetric Matrices
• Preconditioners for Generalized Saddle-Point Problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
• Constraint Preconditioning for Indefinite Linear Systems
• A Note on Preconditioning for Indefinite Linear Systems
• A Note on Constraint Preconditioning for Nonsymmetric Indefinite Matrices
• A Preconditioner for the Steady-State Navier--Stokes Equations
• Block-Diagonal and Constraint Preconditioners for Nonsymmetric Indefinite Linear Systems. Part I: Theory

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