A New Block Triangular Preconditioner for Three-by-Three Block Saddle-Point Problem

被引：0
|
作者：
Li, Jun [1 ]
Xiong, Xiangtuan [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, 967 Anning E Rd, Lanzhou 730070, Peoples R China
来源：
APPLICATIONS OF MATHEMATICS | 2024年 / 69卷 / 01期
基金：
中国国家自然科学基金;
关键词：
three-by-three block saddle-point problems; matrix splitting; convergence; preconditioning; GMRES method;
D O I：
10.21136/AM.2023.0289-22
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, to solve the three-by-three block saddle-point problem, a new block triangular (NBT) preconditioner is established, which can effectively avoid the solving difficulty that the coefficient matrices of linear subsystems are Schur complement matrices when the block preconditioner is applied to the Krylov subspace method. Theoretical analysis shows that the iteration method produced by the NBT preconditioner is unconditionally convergent. Besides, some spectral properties are also discussed. Finally, numerical experiments are provided to show the effectiveness of the NBT preconditioner.
引用
收藏
页码：67 / 91
页数：25
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