三对角L-矩阵方程组的一类预优迭代法  

A preconditioned iterative method for tri-diagonal L-matrix equations

作　　者：吴梅君[1] 张云鹏 WU Mei-jun ZHANG Yun-peng(School of Sciences, Nantong University, Nantong 226007, Chin)

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《高师理科学刊》2017年第10期14-17,共4页Journal of Science of Teachers＇College and University

摘　　要：利用预条件Gauss-Seidel迭代法来求解三对角方程组,给出体形式和迭代矩阵.针对三对角L-矩阵方程组的情形,给出与经Gauss-Seidel迭代法收敛性的比较理,并通过数值实例验证所给结论.Used the preconditioned Gauss-Seidel iterative method to solve the tri-diagonal equations,gave its form and its iterative matrix.Proposed the comparative theorems about the iterative speed of the classical Gauss-Seidel iterative method with that of the preconditioned Gauss-Seidel iterative method in the case of the tri-diagonal L-matrix equations,and verified the conclusions through numerical examples.

关 键 词：三对角方程组 L-矩阵 GAUSS-SEIDEL迭代法 预条件 

分 类 号：O241.7[理学—计算数学]