Generalized Preconditioned Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive-Definite Linear Systems

DOI10.4208/jcm.1201-m3209zbMath1274.65105OpenAlexW2025958799MaRDI QIDQ4927666

Jun-Feng Yin, Quan-Yu Dou

Publication date: 20 June 2013

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.1201-m3209

zbMATH Keywords

convection-diffusion equationnumerical experimentspreconditioningiteration methodKrylov subspace methodinner iterationskew-Hermitian splittingpositive-definite matrix

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (12)

Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations ⋮ Accelerated PMHSS iteration methods for complex symmetric linear systems ⋮ Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for saddle-point problems ⋮ An extension of the positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems ⋮ Unnamed Item ⋮ On the \(m\)-step two-parameter generalized Hermitian and skew-Hermitian splitting preconditioning method ⋮ On preconditioned generalized shift-splitting iteration methods for saddle point problems ⋮ Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations ⋮ A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems ⋮ Two-parameter generalized Hermitian and skew-Hermitian splitting iteration method ⋮ Accelerating the shift-splitting iteration algorithm ⋮ A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems

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