On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations

On modified HSS iteration methods for continuous Sylvester equations

“…A great deal of research has been conducted to solve the continuous Sylvester equations (1.1) [1,3,8,10,13,14,20,[22][23][24]26,28,30]. But, to the best of our knowledge, using the idea of the HSS iteration method to solve linear matrix equations has not been investigated except for the work in [3,20,27,28,30].…”

“…But, to the best of our knowledge, using the idea of the HSS iteration method to solve linear matrix equations has not been investigated except for the work in [3,20,27,28,30].…”

A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations

“…Recently, Bai in [6] proposed a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semidefinite matrices. In [47], Wang et al applied the idea of PSS iteration method [9] to solve the continuous Sylvester equations and in [50] Zheng and Ma applied the NSS iteration method [8] to solve the continuous Sylvester equations. In this paper, we present a generalized Hermitian and skew-Hermitian splitting (GHSS) iteration method for solving the continuous Sylvester equations.…”

On preconditioned normal and skew-Hermitian splitting iteration method for continuous Sylvester equations AX + XB = C*

“…In [16], Bai presented the Hermitian and skew-Hermitian splitting (HSS) iteration method for solving large sparse continuous Sylvester equations. Wang et al applied the idea of PSS iteration method to solve the continuous Sylvester equations in [41], Zheng and Ma applied the NSS iteration method to solve the continuous Sylvester equations in [46]. Recently, Dong and Gu presented a PMHSS iteration method [19] for Sylvester equations.…”