Analysis of the relaxed deteriorated PSS preconditioner for singular saddle point linear systems

DOI10.1016/j.amc.2017.02.011zbMath1411.65044OpenAlexW2590622360MaRDI QIDQ1735445

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.011

zbMATH Keywords

convergence preconditioning positive and skew-Hermitian splitting singular saddle point linear systems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (1)

Semiconvergence of the extended PSS method for singular generalized saddle point problems

Cites Work

Unnamed Item
Augmented block splitting preconditioner for singular saddle point problems
SIMPLE-like preconditioners for saddle point problems from the steady Navier-Stokes equations
Modified parameterized inexact Uzawa method for singular saddle-point problems
On semi-convergence of a class of Uzawa methods for singular saddle-point problems
Conjugate gradient method for rank deficient saddle point problems
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems
Convergence behavior of generalized parameterized Uzawa method for singular saddle-point problems
Semi-convergence analysis of the GPIU method for singular nonsymmetric saddle-point problems
On parameterized inexact Uzawa methods for generalized saddle point problems
On semi-convergence of parameterized Uzawa methods for singular saddle point problems
Minimum residual methods for augmented systems
Constraint preconditioners for solving singular saddle point problems
Block triangular preconditioners for symmetric saddle-point problems
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems
A generalized preconditioned HSS method for singular saddle point problems
General constraint preconditioning iteration method for singular saddle-point problems
A generalization of parameterized inexact Uzawa method for singular saddle point problems
New preconditioners for saddle point problems
Positive stable block triangular preconditioners for symmetric saddle point problems
A note on preconditioned GMRES for solving singular linear systems
Preconditioned AHSS iteration method for singular saddle point problems
Comparison of performance of iterative methods for singular and nonsingular saddle point linear systems arising from Navier--Stokes equations
A relaxed deteriorated PSS preconditioner for nonsymmetric saddle point problems from the steady Navier-Stokes equation
On generalized successive overrelaxation methods for augmented linear systems
A note on block-diagonally preconditioned PIU methods for singular saddle point problems
Optimal parameters in the HSS-like methods for saddle-point problems
GMRES On (Nearly) Singular Systems
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
Numerical solution of saddle point problems
Constraint Preconditioners for Symmetric Indefinite Matrices
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
Constraint Preconditioning for Indefinite Linear Systems
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
Uzawa type algorithms for nonsymmetric saddle point problems
Preconditioning
A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization
Approximate Factorization Constraint Preconditioners for Saddle-Point Matrices
Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems

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