On Inexact Preconditioners for Nonsymmetric Matrices

From MaRDI portal
Publication:5318323

DOI10.1137/040604091zbMath1077.65043OpenAlexW1974512823MaRDI QIDQ5318323

Zhong Zhi Bai, Michael Kwok-Po Ng

Publication date: 22 September 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040604091




Related Items (86)

A symmetric positive definite preconditioner for saddle-point problemsOn HSS-based sequential two-stage method for non-Hermitian saddle point problemsSplitting-based block preconditioning methods for block two-by-two matrices of real square blocksA modified positive-definite and skew-Hermitian splitting preconditioner for generalized saddle point problems from the Navier-Stokes equationA simplified HSS preconditioner for generalized saddle point problemsA variant of the deteriorated PSS preconditioner for nonsymmetric saddle point problemsA relaxed positive-definite and skew-Hermitian splitting preconditioner for saddle point problemsA generalized relaxed positive-definite and skew-Hermitian splitting preconditioner for non-Hermitian saddle point problemsA relaxed positive semi-definite and skew-Hermitian splitting preconditioner for non-Hermitian generalized saddle point problemsA modified relaxed splitting preconditioner for generalized saddle point problems from the incompressible Navier-Stokes equationsA preconditioned GLHSS iteration method for non-Hermitian singular saddle point problemsAn $L_0$-Norm Regularized Method for Multivariate Time Series SegmentationAdditive Inexact Block Triangular Preconditioners for Saddle Point Problems Arising in Meshfree Discretization of Piezoelectric EquationsA new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equationsOn semi-convergence and inexact iteration of the GSS iteration method for nonsymmetric singular saddle point problemsA parameterized shift-splitting preconditioner for saddle point problemsTwo modified block-triangular splitting preconditioners for generalized saddle-point problemsModified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current ModelsAn inexact relaxed DPSS preconditioner for saddle point problemNew variant of the HSS iteration method for weighted Toeplitz regularized least-squares problems from image restorationAn inexact modified relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equationsSpectral properties of the matrix splitting preconditioners for generalized saddle point problemsA note on the positive stable block triangular preconditioner for generalized saddle point problemsOn the eigenvalues of the saddle point matrices discretized from Navier-Stokes equationsSpectral analysis of the preconditioned system for the \(3 \times 3\) block saddle point problemSemi-regularized Hermitian and skew-Hermitian splitting preconditioning for saddle-point linear systemsTwo-parameter block triangular splitting preconditioner for block two-by-two linear systemsA note for preconditioning nonsymmetric matricesOn convergence and semi-convergence of SSOR-like methods for augmented linear systemsOn generalized local Hermitian and skew-Hermitian splitting iterative method for block two-by-two linear systemsAn Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three DimensionsOn hybrid preconditioning methods for large sparse saddle-point problemsIndefinite block triangular preconditioner for symmetric saddle point problemsRobust preconditioners for optimal control with time-periodic parabolic equationCombination of augmented Lagrangian technique and ST preconditioner for saddle point problemsSpectral properties of a class of matrix splitting preconditioners for saddle point problemsA generalization of the local Hermitian and skew-Hermitian splitting iteration methods for the non-Hermitian saddle point problemsAn AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element MethodOn a New SSOR-Like Method with Four Parameters for the Augmented SystemsAn Efficient Numerical Method for Mean Curvature-Based Image Registration ModelBlock preconditioners for elliptic PDE-constrained optimization problemsPreconditioned iterative methods for the convective FitzHugh-Nagumo equationsAccelerated GNHSS iterative method for weighted Toeplitz regularized least-squares problems from image restorationA modified dimensional split preconditioner for generalized saddle point problemsA note on parameterized block triangular preconditioners for generalized saddle point problemsBlock-triangular preconditioning methods for linear third-order ordinary differential equations based on reduced-order sinc discretizationsRotated block triangular preconditioning based on PMHSSA block product preconditioner for saddle point problemsA note on block diagonal and block triangular preconditioners for complex symmetric linear systemsA modified product preconditioner for indefinite and asymmetric generalized saddle-point matricesA new iterative method for solving a class of complex symmetric system of linear equationsA generalization of the HSS-based sequential two-stage method for solving non-Hermitian saddle point problemsA new block preconditioner for complex symmetric indefinite linear systemsThe parameterized preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equationsTwo improvements of the deteriorated PSS preconditioner for generalized saddle point problemsConstraint Schur complement preconditioners for nonsymmetric saddle point problemsOn generalized parameterized inexact Uzawa method for a block two-by-two linear systemSemi-convergence analysis of Uzawa methods for singular saddle point problemsShift-splitting preconditioners for saddle point problemsParameterized rotated block preconditioning techniques for block two-by-two systems with application to complex linear systemsOn HSS-based constraint preconditioners for generalized saddle-point problemsA generalized variant of simplified HSS preconditioner for generalized saddle point problemsA relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equationsPreconditioning of complex linear systems from the Helmholtz equationProduct-type block preconditioners for electromagnetic cavity problemsOn parameterized block triangular preconditioners for generalized saddle point problemsOn constraint preconditioners for generalized saddle point matricesOn local Hermitian and skew-Hermitian splitting iteration methods for generalized saddle point problemsAn alternating preconditioner for saddle point problemsBlock triangular preconditioners based on symmetric-triangular decomposition for generalized saddle point problemsA low-order block preconditioner for saddle point linear systemsA relaxed deteriorated PSS preconditioner for nonsymmetric saddle point problems from the steady Navier-Stokes equationEigenvalue estimates of an indefinite block triangular preconditioner for saddle point problemsA variant of relaxed triangular splitting preconditioners for generalized saddle point problems from Navier-Stokes equationsSpectral analysis of the generalized shift-splitting preconditioned saddle point problemOptimization of the parameterized Uzawa preconditioners for saddle point matricesStructured preconditioners for nonsingular matrices of block two-by-two structuresA relaxed splitting preconditioner for generalized saddle point problemsA relaxed block-triangular splitting preconditioner for generalized saddle-point problemsA new matrix splitting preconditioner for generalized saddle point problemsOn semi-convergence of parameterized Uzawa methods for singular saddle point problemsGeneralized fast shift-splitting preconditioner for nonsymmetric saddle-point problemsA two-parameter shift-splitting preconditioner for saddle point problemsConvergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matricesOn Fixed-Point, Krylov, and $2\times 2$ Block Preconditioners for Nonsymmetric ProblemsA generalized shift-splitting preconditioner for saddle point problems


Uses Software



This page was built for publication: On Inexact Preconditioners for Nonsymmetric Matrices