严格对角占优L-矩阵的预条件Jacobi迭代法  

Preconditioned Jacobi iterative methods of stictly diagonally dominant L-matrices

作　　者：许云霞 雷学红 XU Yunxia;LEI Xuehong(School of Science,Kaili University,Kaili 556011,China)

机构地区：[1]凯里学院理学院,贵州凯里556011

出　　处：《高师理科学刊》2024年第1期1-4,共4页Journal of Science of Teachers＇College and University

基　　金：2023年度凯里学院校级规划课题(2023XJGHYB11,2023XJGHYB09);贵州省教育厅青年科技人才成长项目(黔教合KY字[2019]189号,黔教合KY字[2019]186号)。

摘　　要：讨论了一种预条件Jacobi迭代法,理论上证明了系数矩阵为严格对角占优L-矩阵时,所给预条件子加快了Jacobi迭代法的收敛速度.通过三个数值实例验证了系数为严格对角占优L-矩阵预条件Jacobi迭代法的有效性.The preconditioned Jacobi iterative method is discussed.It is proved theoretically that the preconditioned factor can accelerate the convergence speed of Jacobi iterative method,when the coefficient matrix is the strictly diagonally dominant L-matrix.Three numerical examples are given to demonstrate the effectiveness of the preconditioned Jacobi iterative method of the strictly diagonally dominant coefficients matrix.

关 键 词：预条件 JACOBI迭代法 严格对角占优L-矩阵 谱半径 

分 类 号：O151.21[理学—数学]