The quadratic method for computing the eigenpairs of a martix
The quadratic method for computing the eigenpairs of a martix
复制标题
计算 martix 特征对的二次方法
DOI：
10.1080/00207160008804915
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发表时间：
2000
影响因子：
1.8
通讯作者：
A. Kharab
中科院分区：
文献类型：
--
作者：
M.B Elgindi;A. Kharab
在本文中，我们介绍了一种计算矩阵特征的新方法。具有并行工作的二次方法基于求解二次非线性系统。牛顿用于解决系统的方法的起始值是通过使用多项式插值以及多项式插值的同质方法获得的。描述了算法并给出了几个数值示例。
In this paper we introduce a new method for computing the eigenpairs of a matrix. The quadratic method which has the advantage of working in parallel, is based on solving quadratic nonlinear systems. The starting values of Newton's method used to solve the systems, are obtained by using a homotopy method together with polynomial interpolation. The algorithm is described and several numerical examples are given.