A variant of relaxed alternating positive semi-definite splitting preconditioner for double saddle point problems

被引：2
作者：
Lingsheng Meng
Jun Li
Shu-Xin Miao
机构：
[1] Northwest Normal University,College of Mathematics and Statistics
来源：
Japan Journal of Industrial and Applied Mathematics | 2021年 / 38卷
关键词：
Double saddle point problems; Preconditioning; Matrix splitting; Spectral properties; Krylov subspace method; 65F08; 65F10; 65F50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the relaxed alternating positive semi-definite splitting (RAPSS) preconditioner, in this paper, a new preconditioner, called variant of relaxed alternating positive semi-definite splitting (VRAPSS) preconditioner, is presented and discussed. Spectral properties of the VRAPSS preconditioned matrix are analyzed in detail. Numerical experiments are provided to verify the efficiency of the VRAPSS preconditioner.
引用
收藏
页码：979 / 998
页数：19
相关论文
共 27 条
[1]  
Bai ZZ(2003)Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems SIAM J. Matrix Anal. Appl. 3 603-626
[2]  
Golub GH(2007)Accelerated Hermitian and skew-Hermitian splitting methods for saddle point problems IMA J. Numer. Anal. 27 1-23
[3]  
Ng MK(2005)Numercial solution of saddle point problems Acta Numer. 14 1-137
[4]  
Bai ZZ(2018)Block preconditioners for saddle point systems arising from liquid crystal directors modeling Calcolo 55 29-921
[5]  
Golub GH(2018)Iterative methods for double saddle point systems SIAM J. Matrix Anal. Appl. 39 902-439
[6]  
Benzi M(2016)A simplify HSS preconditioner for generalized saddle point problems BIT 56 423-149
[7]  
Golub GH(2014)A practical formula for computing optimal parameters in the HSS iteration methods J. Comput. Appl. Math. 255 142-444
[8]  
Liesen J(2019)F, Spectral analysis of the preconditioned system for the $3\times 3$ block saddle point problem Numer. Algor. 81 421-799
[9]  
Beik FPA(2019)Alterating positive semidefinite splitting preconditioners for double saddle point problems Calcol 56 26-723
[10]  
Benzi M(2019)A generalized variant of simplified HSS preconditioner for generalized saddle point problems Appl. Math. Comput. 346 790-B247
123