模糊线性方程组的基本迭代解法  

The basic iterative solution of fuzzy linear systems

作　　者：柳卫东 

机构地区：[1]武警工程大学理学院,陕西西安710086

出　　处：《西南民族大学学报（自然科学版）》2014年第4期587-591,共5页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：利用迭代法求解模糊线性方程组是一种重要的方法.研究了模糊线性方程组的几种基本迭代解法.在模糊线性方程组系数矩阵是拟对角占优矩阵的条件下,得到了迭代法的收敛性定理.最后,给出了数值例子.Using the iterative method to solve fuzzy linear systems is an important method. In this paper, the basic iterative solution of fuzzy linear systems is studied. When the coefficient matrix of fuzzy linear systems is diagonally dominant matrices, convergence theorems are obtained. Finally, numerical examples are given.

关 键 词：模糊线性方程组 迭代法 收敛 

分 类 号：O241.6[理学—计算数学] O241.82[理学—数学]