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方阵广义特征向量的一种相似迭代算法

高灵霞 李国敏 孙凤兰

计算机应用与软件Issue(2):293-295,333,4.
计算机应用与软件Issue(2):293-295,333,4.DOI:10.3969/j.issn.1000-386x.2014.02.078

方阵广义特征向量的一种相似迭代算法

A KIND OF SIMILAR ITERATIVE ALGORITHM FOR GENERALISED EIGENVECTOR OF SQUARE MATRIX

高灵霞 1李国敏 2孙凤兰3

作者信息

  • 1. 重庆电子工程职业学院计算机学院 重庆401331
  • 2. 重庆科技学院数理学院 重庆401331
  • 3. 重庆邮电大学数理学院 重庆400065
  • 折叠

摘要

Abstract

We put forward the concept of elementary similarity transformation in the paper,and discuss the method of how to use the elementary transformation to solve the generalised eigenvectors of a square matrix.Furthermore,we write this method in iteration algorithm, which provides the condition to solving the generalised eigenvectors of the square matrix with Matlab programming.Through computing the examples of two square matrixes it verifies that the iterative method can well solve the generalised eigenvectors of genetic square matrix.It is much simpler compared with usual method of leaner equation group solutions,and is easier to be implemented by Matlab programming in computer.

关键词

初等相似变换/广义特征向量/Jordan标准形/迭代算法

Key words

Elementary similarity transformation/Generalised eigenvector/Jordan standard form/Iterative algorithm

分类

信息技术与安全科学

引用本文复制引用

高灵霞,李国敏,孙凤兰..方阵广义特征向量的一种相似迭代算法[J].计算机应用与软件,2014,(2):293-295,333,4.

计算机应用与软件

OACSCDCSTPCD

1000-386X

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