Preconditioners for nonsymmetric indefinite linear systems

DOI10.1016/j.cam.2019.112436zbMath1425.65043OpenAlexW2971922054MaRDI QIDQ2332746

Zhen Chao, Dexuan Xie, Ahmed H. Sameh

Publication date: 5 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112436

zbMATH Keywords

preconditioningGMRESleast squares problemdiffusion-convection equationindefinite linear systems

Mathematics Subject Classification ID

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

Related Items (1)

A finite element iterative solver for a PNP ion channel model with Neumann boundary condition and membrane surface charge

Uses Software

• FEniCS
• SparseMatrix
• SyFi

Cites Work

• A parallel sparse linear system solver based on Hermitian/skew-Hermitian splitting
• A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
• Automated solution of differential equations by the finite element method. The FEniCS book
• Preconditioning techniques for nonsymmetric and indefinite linear systems
• Minimum residual methods for augmented systems
• Experimental study of ILU preconditioners for indefinite matrices
• Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems
• Preconditioning techniques for large linear systems: A survey
• Preconditioning Highly Indefinite and Nonsymmetric Matrices
• Limited Memory Block Krylov Subspace Optimization for Computing Dominant Singular Value Decompositions
• The university of Florida sparse matrix collection
• Preconditioning of Indefinite Problems by Regularization
• Numerical solution of saddle point problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Convection-Diffusion Problems
• A Preconditioner for Generalized Saddle Point Problems
• Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
• Quasi‐HSS iteration methods for non‐Hermitian positive definite linear systems of strong skew‐Hermitian parts
• Preconditioning methods for linear systems arising in constrained optimization problems
• The Mathematical Theory of Finite Element Methods
• Matrix Iterative Analysis
• Unnamed Item

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