On the Newton's iterative method for the characteristic equation of a real symmetric matrix

被引：0

作者：

Militaru, Romulus ^{[1
]}

机构：

[1] Univ Craiova, Dept Appl Math, Dolj 200396, Romania

来源：

SYNASC 2006: Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Proceedings | 2007年

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The present paper studies the numerical computation of the extreme eigenvalues of a n x n real symmetric matrix A, by the means of the Newton's approximate method for the characteristic polynomial P-A (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.

引用

页码：175 / 178

页数：4

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