Parameter modified versions of preconditioning and iterative inner product free refinement methods for two-by-two block matrices

DOI10.1016/j.laa.2019.07.024zbMath1425.65047OpenAlexW2965968503WikidataQ127406510 ScholiaQ127406510MaRDI QIDQ2332393

Owe Axelsson, Zhao-Zheng Liang

Publication date: 4 November 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.07.024

zbMATH Keywords

rate of convergencerobustnessparameterpreconditionersquare matrix blocks

Mathematics Subject Classification ID

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

Related Items (2)

Efficient iteration methods for complex systems with an indefinite matrix term ⋮ Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks

Uses Software

• AMD
• LSQR
• IFISS
• CRAIG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A comparison of iterative methods to solve complex valued linear algebraic systems
• A robust finite element solver for a multiharmonic parabolic optimal control problem
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control
• On preconditioned MHSS iteration methods for complex symmetric linear systems
• Using FGMRES to obtain backward stability in mixed precision
• Modified HSS iteration methods for a class of complex symmetric linear systems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications.
• A robust structured preconditioner for time-harmonic parabolic optimal control problems
• Stability estimates and structural spectral properties of saddle point problems
• Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems
• Fast iterative solvers for convection-diffusion control problems
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• An Algebraic Multigrid Method with Guaranteed Convergence Rate
• Iterative Solution of Symmetric Quasi-Definite Linear Systems
• Optimal Solvers for PDE-Constrained Optimization
• Polynomial Based Iteration Methods for Symmetric Linear Systems
• Preconditioning of matrices partitioned in 2 × 2 block form: eigenvalue estimates and Schwarz DD for mixed FEM
• Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
• A Note on GMRES Preconditioned by a Perturbed $L D L^T$ Decomposition with Static Pivoting
• Algorithm 866
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Solution of Sparse Indefinite Systems of Linear Equations
• A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
• Iterative Solution Methods
• An Approximate Minimum Degree Ordering Algorithm
• Symmetric Quasidefinite Matrices
• Real valued iterative methods for solving complex symmetric linear systems
• On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems
• Any Nonincreasing Convergence Curve is Possible for GMRES
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• Algorithm 837
• The N‐Step Iteration Procedures

This page was built for publication: Parameter modified versions of preconditioning and iterative inner product free refinement methods for two-by-two block matrices