A preconditioner for symmetric saddle point matrices

2017 2nd International Seminar on Advances in Materials Science and Engineering

Wang, Chao^1,2

School of Mathematics, Physics and Information Science, Zhejiang Ocean University, China^1

Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, China^2

关键词: Eigenvalues distribution;    Numerical experiments;    Numerical solution;    Preconditioned matrix;    Preconditioners;    Saddle point matrices;    Symmetric indefinite;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/231/1/012012/pdf
DOI  :  10.1088/1757-899X/231/1/012012

来源: IOP

【 摘 要 】

In this paper, a new preconditioner for numerical solutions of symmetric indefinite linear systems is presented. The new preconditioner called as product preconditioner is constructed through the product of two fairly simple preconditioners. The eigenvalues distribution and the form of the eigenvectors of the product preconditioned matrix are analyzed. Numerical experiments illustrate the effectiveness of product preconditioner.