PSD迭代法收敛的一个充分必要条件  

A sufficient condition for the convergence of a PSD iterative method

作　　者：柳卫东[1] 周航[1] 

机构地区：[1]武警工程学院基础部,陕西西安710086

出　　处：《西南民族大学学报（自然科学版）》2008年第4期632-636,共5页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：在线性方程组Ax=b的系数矩阵A为相容次序矩阵及A的Jacobi迭代矩阵的特征值μj均为纯虚数且μj<1的条件下得到了PSD收敛的一个充分必要条件,并给出数值例子.In this paper, a necessary and sufficient condition for the convergence ofa PSD iterative method is given under the condition that the coefficient matrix A is order and the eigenvalues of the Jacobi matrix of A are all pure imaginary. In addition an example is given for illustrating the results.

关 键 词：PSD法 收敛 充分必要性 

分 类 号：O241.6[理学—计算数学]