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A Note on Parameterized Preconditioned Method for Singular Saddle Point Problems

A Note on Parameterized Preconditioned Method for Singular Saddle Point Problems
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摘要 Recently, some authors (Li, Yang and Wu, 2014) studied the parameterized preconditioned HSS (PPHSS) method for solving saddle point problems. In this short note, we further discuss the PPHSS method for solving singular saddle point problems. We prove the semi-convergence of the PPHSS method under some conditions. Numerical experiments are given to illustrate the efficiency of the method with appropriate parameters. Recently, some authors (Li, Yang and Wu, 2014) studied the parameterized preconditioned HSS (PPHSS) method for solving saddle point problems. In this short note, we further discuss the PPHSS method for solving singular saddle point problems. We prove the semi-convergence of the PPHSS method under some conditions. Numerical experiments are given to illustrate the efficiency of the method with appropriate parameters.
作者 Yueyan Lv Naimin Zhang Yueyan Lv;Naimin Zhang(School of Mathematics and Information Science, Wenzhou University, Wenzhou, China)
出处 《Journal of Applied Mathematics and Physics》 2016年第4期608-613,共6页 应用数学与应用物理(英文)
关键词 Singular Saddle Point Problems Hermitian and Skew-Hermitian Splitting PRECONDITIONING Iteration Methods Semi-Convergence Singular Saddle Point Problems Hermitian and Skew-Hermitian Splitting Preconditioning Iteration Methods Semi-Convergence
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