In this work we try to apply Hermitian and skew-Hermitian splitting (HSS) like method to solve this equation. Then we analyze the convergence of the new iterative method in detail. Also we try to determine the optimum parameter in our method which minimizes the upper bounds of absolute error...
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 formed by extending the corresponding HSS iteration method for solving Ax=b. The analysis shows that the HSS iteration method will converge unde...
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 ...
LinearandMultilinearAlgebra ISSN:0308-1087(Print)1563-5139(Online)Journalhomepage:http://.tandfonline/loi/glma20 Improvedconvergencetheoremsfornew Hermitianandskew-Hermitiansplittingmethods Cui-XiaLi&Shi-LiangWu Tocitethisarticle:Cui-XiaLi&Shi-LiangWu(2017)Improvedconvergencetheoremsfornew Hermitianandskew-...
[45] W.-W. Li and X. Wang, A modified GPSS method for non-Hermitian positive definite linear systems, Appl. Math. Comput., 234(2014) 253-259. [46] X. Wang, Y. Li and L. Dai, On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation AXB=C, Comput...
C. P. Pan, On generalized preconditioned Her- mitian and skew-Hermitian splitting methods for saddle point problems, WSEAS Transactions on Mathematics, vol.11,2012, pp.1147-1156.J.-F. Yin and Q.-Y. Dou, "Generalized preconditioned Hermi- tian and skew-Hermitian splitting methods for non-...
2) local symmetric and skew-symmetric splitting 局部对称-反对称分裂3) Asymmetric division 不对称分裂 1. This article is about the initiative of sporulation, the process of asymmetric division and engulfment, regulation of the activation of σF, σE, σG and σK. 不对称分裂(asymmetric...
We discuss AOR type iterative methods for solving non-Hermitian linear systems based on Hermitian splitting and skew-Hermitian splitting. Convergence domains of iterative matrices are given and optimal parameters are investigated for skew-Hermitian splitting. Numerical examples are presented to compare the...
Summary: For large sparse system of linear equations with a non-Hermitian positive definite coefficient matrix, we review the recently developed Hermitian/skew-Hermitian splitting iteration, normal/skew-Hermitian splitting iteration, positive-definite/skew-Hermitian splitting iteration, and block triangular/...