A class of constraint preconditioners for nonsymmetric saddle point matrices

DOI10.1007/s00211-006-0675-0zbMath1148.65031OpenAlexW2036236178MaRDI QIDQ2491144

Zhi-Hao Cao

Publication date: 26 May 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0675-0

zbMATH Keywords

numerical experimentsGMRESpreconditionerminimal polynomialSchilders' factorizationKrylov subspace iterative methodsaddle point matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (15)

Sparse block factorization of saddle point matrices ⋮ Application of modified homotopy perturbation method for solving the augmented systems ⋮ Two modified block-triangular splitting preconditioners for generalized saddle-point problems ⋮ ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier--Stokes Equations ⋮ A note for preconditioning nonsymmetric matrices ⋮ A relaxed upper and lower triangular splitting preconditioner for the linearized Navier-Stokes equation ⋮ Modified restrictive preconditioners for double saddle point problems arising from liquid crystal director modeling ⋮ Multi-parameter dimensional split preconditioner for three-by-three block system of linear equations ⋮ A generalization of preconditioned parameterized inexact Uzawa method for indefinite saddle point problems ⋮ Augmentation block preconditioners for saddle point-type matrices with singular (1, 1) blocks ⋮ A modified parameterized shift-splitting preconditioner for saddle point problems ⋮ Kronecker product approximation preconditioners for convection-diffusion model problems ⋮ A relaxed block-triangular splitting preconditioner for generalized saddle-point problems ⋮ Solution of indefinite linear systems using an LQ decomposition for the linear constraints ⋮ A two-parameter block triangular preconditioner for double saddle point problem arising from liquid crystal directors modeling

Cites Work

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• On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization
• Numerical solution of saddle point problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
• Constraint Preconditioning for Indefinite Linear Systems
• A Note on Preconditioning for Indefinite Linear Systems
• A Note on Constraint Preconditioning for Nonsymmetric Indefinite Matrices
• Iterative Krylov Methods for Large Linear Systems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm

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