A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems

DOI10.1007/s40314-015-0231-6zbMath1359.65050OpenAlexW2078508556WikidataQ59416460 ScholiaQ59416460MaRDI QIDQ520284

Xu Li, Jin Yun Yuan, Yu-Jiang Wu

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1007/s40314-015-0231-6

zbMATH Keywords

convergence analysisspectral radiusHermitian and skew-Hermitian splittingnon-Hermitian positive definite linear systemsnon-alternating PHSS iteration

Mathematics Subject Classification ID

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

Related Items (15)

Class of Uzawa-NPHSS iteration method for solving nonsingular and singular saddle point problems ⋮ RETRACTED: The generalized double steps scale-SOR iteration method for solving complex symmetric linear systems ⋮ Convergence properties of the single-step preconditioned HSS method for non-Hermitian positive semidefinite linear systems ⋮ Shift-splitting iteration methods for a class of large sparse linear matrix equations ⋮ Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations ⋮ Efficient single-step preconditioned HSS iteration methods for complex symmetric linear systems ⋮ Modulus-based inexact non-alternating preconditioned splitting method for linear complementarity problems ⋮ Complex-extrapolated MHSS iteration method for singular complex symmetric linear systems ⋮ Unnamed Item ⋮ On convergence of EVHSS iteration method for solving generalized saddle-point linear systems ⋮ Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations ⋮ A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation ⋮ The generalized Uzawa-SHSS method for non-Hermitian saddle-point problems ⋮ On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems ⋮ Modified Newton-SHSS method for a class of systems of nonlinear equations

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