The semi-convergence properties of MHSS method for a class of complex nonsymmetric singular linear systems

DOI10.1007/s11075-013-9755-2zbMath1317.65095OpenAlexW2081861846WikidataQ57644429 ScholiaQ57644429MaRDI QIDQ403082

Yu-Jiang Wu, Ai-Li Yang, Zhen-Jian Xu

Publication date: 29 August 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9755-2

zbMATH Keywords

preconditioningiterative methodnumerical experimentsingular linear systemssemi-convergencegeneralized minimal residual (GMRES) methoditeration parameterHermitian and skew-Hermitian splittingpositive semi-definite matrix

Mathematics Subject Classification ID

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

Related Items (8)

Multistep matrix splitting iteration preconditioning for singular linear systems ⋮ On the generalized AOR and CG iteration methods for a class of block two-by-two linear systems ⋮ A generalized modified HSS method for singular complex symmetric linear systems ⋮ On semi-convergence of the parameterized generalized MHSS method for singular complex linear systems ⋮ Minimum residual modified HSS iteration method for a class of complex symmetric linear systems ⋮ Complex-extrapolated MHSS iteration method for singular complex symmetric linear systems ⋮ An equidistant parameterized Gauss-Seidel iteration method for a class of block two-by-two linear systems ⋮ Convergence of a generalized PMHSS method for a class of singular block two-by-two linear systems

Cites Work

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• Modified HSS iteration methods for a class of non-Hermitian positive-definite linear systems
• On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems
• The generalized HSS method for solving singular linear systems
• Chemical oscillations, waves, and turbulence
• Modified HSS iteration methods for a class of complex symmetric linear systems
• A generalized preconditioned HSS method for non-Hermitian positive definite linear systems
• On semi-convergence of parameterized Uzawa methods for singular saddle point problems
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Weak-convergence theory of quasi-nonnegative splittings for singular matrices.
• Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems
• Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation
• Efficient preconditioning for sequences of parametric complex symmetric linear systems
• Iterative system solvers for the frequency analysis of linear mechanical systems
• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• Semiconvergence of nonnegative splittings for singular matrices
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• HSS Method with a Complex Parameter for the Solution of Complex Linear System
• The world of the complex Ginzburg-Landau equation
• Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems
• Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
• Block preconditioning of real-valued iterative algorithms for complex linear systems
• Toeplitz and Circulant Matrices: A Review
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• A Preconditioner for Generalized Saddle Point Problems
• Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems

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