Publication date: 30 June 2022
Volume: Vol 57
Issue: Svezak 1
Pages: 149-159
DOI: https://doi.org/10.3336/gm.57.1.10
Glasnik matematički, Vol. 57 No. 1, 2022.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.57.1.10
A generalized two-sweep shift splitting method for non-Hermitian positive definite linear systems
Shi-Liang Wu
; School of Mathematics, Yunnan Normal University, Kunmin 650500, Yunnan, P.R. China
Cui-Xia Li
; School of Mathematics, Yunnan Normal University, Kunmin 650500, Yunnan, P.R. China
Sažetak
In this paper, based on the shift splitting of the
coefficient matrix, a generalized two-sweep shift splitting (GTSS)
method is introduced to solve the non-Hermitian positive definite
linear systems. Theoretical analysis shows that the GTSS method is
convergent to the unique solution of the linear systems under a
loose restriction on the iteration parameter. Numerical experiments
are reported to the efficiency of the GTSS method.
Ključne riječi
Non-Hermitian matrix, shift splitting, GTSS method, convergence
Hrčak ID:
279805
URI
Datum izdavanja:
28.6.2022.
Posjeta: 807 *