A two-parameter shift-splitting preconditioner for saddle point problems

S Song, Z Huang - Computers & Mathematics with Applications, 2022 - Elsevier
For saddle point problems, a two-parameter shift-splitting (TPSS) preconditioner is
proposed. Estimated lower and upper bounds of the real eigenvalues and the real and …

[HTML][HTML] On preconditioned generalized shift-splitting iteration methods for saddle point problems

Y Cao, SX Miao, ZR Ren - Computers & Mathematics with Applications, 2017 - Elsevier
We study a preconditioned generalized shift-splitting iteration method for solving saddle
point problems. The unconditional convergence theory of the preconditioned generalized …

[HTML][HTML] A class of new extended shift-splitting preconditioners for saddle point problems

NN Wang, JC Li - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In this paper, a class of new extended shift-splitting (NESS) preconditioners containing t> 0
are proposed for saddle point problems, which contain the existing shift-splitting-based …

[HTML][HTML] A modification of the generalized shift-splitting method for singular saddle point problems

DK Salkuyeh, M Rahimian - Computers & Mathematics with Applications, 2017 - Elsevier
A modification of the generalized shift-splitting (GSS) method is presented for solving
singular saddle point problems. In this kind of modification, the diagonal shift matrix is …

On the improvement of shift-splitting preconditioners for double saddle point problems

ZZ Liang, MZ Zhu - Journal of Applied Mathematics and Computing, 2024 - Springer
The shift-splitting preconditioner is investigated and improved within relaxation and
preconditioning techniques to solve a special double saddle point problem in block three-by …

Generalized fast shift-splitting preconditioner for nonsymmetric saddle-point problems

JH Zhang, XP Chen, J Zhao - Computational and Applied Mathematics, 2019 - Springer
For nonsingular and singular nonsymmetric saddle-point problems, Dou, Yin, and Liao
proposed a fast shift-splitting preconditioner by combining shift-splitting technique and …

A modified parameterized shift-splitting preconditioner for saddle point problems

B Wu, XB Gao - Computational and Applied Mathematics, 2021 - Springer
Inspired by the idea of the parameterized shift-splitting (PSS), this paper presents a modified
PSS (MPSS) preconditioner for the generalized nonsymmetric saddle point-type linear …

[HTML][HTML] Parameterized generalized shift-splitting preconditioners for nonsymmetric saddle point problems

ZG Huang, LG Wang, Z Xu, JJ Cui - Computers & Mathematics with …, 2018 - Elsevier
To solve nonsymmetric saddle point problems, the parameterized generalized shift-splitting
(PGSS) preconditioner is presented and analyzed. The corresponding PGSS iteration …

[PDF][PDF] A local positive (semi) definite shift-splitting preconditioner for saddle point problems with applications to time-harmonic eddy current models

Y Cao, ZR Ren - East Asian J. Appl. Math., 2020 - global-sci.com
A local positive (semi) definite shift-splitting preconditioner for non-Hermitian saddle point
problems arising in finite element discretisations of hybrid formulations of time-harmonic …

On parameterized matrix splitting preconditioner for the saddle point problems

QQ Zheng, LZ Lu - International Journal of Computer Mathematics, 2019 - Taylor & Francis
In this paper, we present a parameterized matrix splitting (PMS) preconditioner for the large
sparse saddle point problems. The preconditioner is based on a parameterized splitting of …