In this paper, a two-step semi-regularized Hermitian and skew-Hermitian splitting (SHSS) iteration method is constructed by introducing a regularization matrix in the (1,1)-block of the first iteration step, to solve the saddle-point linear system. By carefully selecting two different ...
Benzi [A generalization of the Hermitian and skew-Hermitian splitting iteration, SIAM J. Matrix Anal. Appl. 31 (2009), pp. 360374] proposed a generalized HSS (GHSS) iteration method. In this paper, we present a two-parameter version of the GHSS (TGHSS) method and investigate its ...
Hermitian and skew-Hermitian splittingthe generalized Lyapunov equationIn this paper, we propose the generalized modified Hermitian and skew-Hermitian splitting (GMHSS) approach for computing the generalized Lyapunov equation. The GMHSS iteration is convergent to the unique solution of the generalized ...
An efficient Hermitian and skew-Hermitian splitting method is presented for solving non-Hermitian and normal positive definite linear systems with strong Hermitian parts. We theoretically prove that this method converges to the unique solution of the system of linear equations. Inexact version of the ...
We study theoretical properties of two inexact Hermitian/skew-Hermitian splitting (IHSS) iteration methods for the large sparse non-Hermitian positive definite system of linear equations. In the inner iteration processes, we employ the conjugate gradient (CG) method to solve the linear systems associat...
In this paper, a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving the linear matrix equation AXB=C is proposed. This method is for... W Xiang,L Yan,D Lin - 《Computers & Mathematics with Applications》 被引量: 71发表: 2013年 On Hermitian and skew-Hermitian splitt...
skew-Hermitian matrix;matrixsplitting;HSS iteration;convergence 1.Introduction Manyproblemsinscientificcomputingareoftennecessarytosolveasystemoflinear equations Ax=b,(1.1) whereAisanon-Hermitianandpositivedefinitematrix,xisanunknownvectorand bisagivenvector.Usingtheiterationmethodsforsolving(1.1),usually,e...
Summary This paper is concerned with several variants of the Hermitian and skew-Hermitian splitting iteration method to solve a class of complex symmetric linear systems. Theoretical analysis shows that several Hermitian and skew-Hermitian splitting based iteration methods are unconditionally convergent. Num...
We present a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semidefinite matrices. The unconditional convergence of the HSS iteration method is proved and an upper bound on the converge...
For a nonsingular symmetric system of linear equations with a saddle point, a Hermitian and skew-Hermitian splitting (HSS) preconditioner is considered. For the preconditioned system, symmetrizability conditions are established under which estimates are derived for the spectrum and the convergence rate...