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广义正定矩阵的判别及相应线性方程组的求解
引用本文:雍龙泉.广义正定矩阵的判别及相应线性方程组的求解[J].吉林大学学报(理学版),2017,55(1):74-78.
作者姓名:雍龙泉
作者单位:陕西理工大学 数学与计算机科学学院, 陕西 汉中 723001
摘    要:通过给出广义正定矩阵判别的充分条件和充要条件,研究求解广义正定矩阵线性方程组的HSS迭代算法,分析算法的收敛性,并给出数值实验.

关 键 词:HSS迭代  广义正定矩阵  线性方程组  
收稿时间:2016-03-08

Judgment of Generalized Positive Definite Matrix andSolution of Corresponding Linear Equations
YONG Longquan.Judgment of Generalized Positive Definite Matrix andSolution of Corresponding Linear Equations[J].Journal of Jilin University: Sci Ed,2017,55(1):74-78.
Authors:YONG Longquan
Institution:School of Mathematics and Computer Science, Shaanxi Sci Tech University, Hanzhong 723001, Shaanxi Province, China
Abstract:By giving sufficient conditions and necessary and sufficient conditions for the judgment of generalized positive definite matrix, the author studied HSS iterative algorithm for solving linear equations of generalized positive definite matrix, analyzed convergence of the algorithm and gave numerical experiments.
Keywords:linear equation  HSS iteration  generalized positive definite matrix
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