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

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.