Original scientific paper
An alternating positive semidefinite splitting preconditioner for the three-by-three block saddle point problems
Davod Khojasteh Salkuyeh
; Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Hamed Aslani
; Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Zhao-Zheng Liang
; School of Mathematics and Statistics, Lanzhou University, Lanzhou, P. R. China
Abstract
Using the idea of dimensional splitting method we present an iteration method for solving three-by-three block saddle point problems which can appear in linear programming and finite element discretization of the Maxwell equation. We prove that the method is convergent unconditionally. Then the induced preconditioner is used to accelerate the convergence of the GMRES method for solving the system. Numerical results are presented to compare the performance of the method with some existing ones.
Keywords
Saddle point, block, dimensional, split, preconditioner, GMRES
Hrčak ID:
261512
URI
Publication date:
26.8.2021.
Visits: 910 *