A modified new matrix splitting preconditioner for double saddle point problems

被引：2
|
作者：
Li, Jun [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2024年 / 41卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Double saddle point problems; Matrix splitting; Preconditioning; Spectral properties; GMRES method; SIMPLIFIED HSS PRECONDITIONER;
D O I：
10.1007/s13160-023-00581-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new matrix splitting (NS) is given based on the coefficient matrix of the double saddle point problems, and a modified new matrix splitting (MNS) preconditioner is also proposed. Theoretical analysis proves that the iteration method produced by the MNS preconditioner is convergent with any positive parameters under assumed conditions and the eigenvalues of the MNS preconditioned matrix are located in a positive interval. Numerical examples verify the efficiency of the proposed preconditioner.
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页码：85 / 103
页数：19
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