实对称矩阵特征方程的牛顿迭代法

2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing Pub Date : 2006-09-26 DOI:10.1109/SYNASC.2006.59

R. Militaru

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引用次数: 1

摘要

本文利用特征多项式PA(λ)的牛顿近似方法，研究了n × n实对称矩阵a的极端特征值的数值计算。本文还提出了一种迭代算法，该算法涉及计算适当矩阵的迹，而不是使用PA(lambda)及其导数的求值。本文还提供了用该算法求解的数值实例

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Newton's Iterative Method for the Characteristic Equation of a Real Symmetric Matrix

The present paper studies the numerical computation of the extreme eigenvalues of a n times n real symmetric matrix A, by the means of the Newton's approximate method for the characteristic polynomial PA(lambda). An iterative algorithm is also presented involving the computation of a trace of an appropriate matrix, instead of using the evaluation of PA(lambda) and its derivative. Numerical examples solved with this algorithm are to be found within as well

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2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing

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