A splitting method for shifted skew-Hermitian linear system

A splitting method for shifted skew-Hermitian linear system

*Correspondence: [email protected] School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, China Abstract In this paper, we present a splitting method for solving the shifted skew-Hermitian linear system, which is briefly called an α-SSS. Some convergence results are established and numerical experiments show that the splitting method is feasible for solving the problem of thi...

Convergence Properties of Hermitian and Skew Hermitian Splitting Methods

In this paper we consider the solutions of linear systems of saddle point problems‎. ‎By using the spectrum of a quadratic matrix polynomial‎, ‎we study the eigenvalues of the iterative matrix of the Hermitian and skew Hermitian splitting method‎.

Two-parameter generalized Hermitian and skew-Hermitian splitting iteration method

It is known that the Hermitian and skew-Hermitian splitting (HSS) iteration method is an efficient solver for non-Hermitian positive definite linear system of equations. In [M. Benzi, SIAM J. Matrix Anal. Appl. 31 (2009) 360–374] Benzi proposed a generalization of the HSS (GHSS) iteration method. In this paper, we present a two-parameter version of the GHSS (TGHSS) method and investigate its co...

Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems

Comparing the lopsided Hermitian/skew-Hermitian splitting (LHSS) method and Hermitian/skewHermitian splitting (HSS) method, a new criterion for choosing the above two methods is presented, which is better than that of Li, Huang and Liu [Modified Hermitian and skew-Hermitian splitting methods for nonHermitian positive-definite linear systems, Numer. Lin. Alg. Appl., 14 (2007): 217-235]. Key-Word...

On Modified Hermitian and Skew - Hermitian Splitting