求解矩阵特征值问题的一种并行算法

A Parallel Algorithm for Computing Matrix's Eigenvalue Problem

矩阵特征值问题的并行算法是近几年来人们比较关心的热点问题 .郑敏玲等提出了把矩阵特征值问题转化为非线性方程组的方法 .这里又对该方法进行了深入讨论 ,给出了Newton迭代初值的选取方法 ,以及算法的收敛性分析 ,最后给出了数值例子 .

Eigenpair problems of Matrix have been concerned about by the present-day computational mathematicians. In [1], there presents a method about how to convert eigenpairs problems to nonlinear systems. Here, to discuss the ideas provided by [1], we present a selection way for Newton iteration start value, and analyse the convergence of the algrithm. And finally we present several numerial examples.