聊城大学学报（自然科学版）2016，Vol.29Issue(1)：13-18,6.
新预条件下矩阵不同分裂的收敛性分析
The Convergence AnaIysis of the Different Matrix SpIitting under the New Pre-condition
摘要
Abstract
In recent years there is a great development in solving the linear equations ,especially af‐ter the introduction of the pre‐condition matrix ,and the linear method’s convergence rate accelerates greatly .What is the most important in the pre‐condition technology is how to find a suitable pre‐condi‐tion .In this paper we propose a new pre‐condition matrix ,and when the Ax= b coefficient matrix is non‐singular irreducible M‐matrix and H‐matrix respectively we discuss the convergence analysis of not only the pre‐conditioned ,but also we prove their convergence results under the new pre‐condition ,and dem‐onstrate the convergence rate of PSOR and PJOR is clearly much faster than that of the classical SOR and JOR method ,w hich show the superiority of our new per‐condition iterative method in this paper .关键词
预条件矩阵/M-矩阵/SOR迭代法/JOR迭代法/收敛性Key words
pre-condition matrix/M-matrix/the SOR iterative method/the JOR iterative method/convergence分类
数学引用本文复制引用
张红锋..新预条件下矩阵不同分裂的收敛性分析[J].聊城大学学报（自然科学版）,2016,29(1):13-18,6.基金项目
江苏省职业教育教学改革研究课题 （）
