Hybrid artificial fish school algorithm for solving matrix eigenvalues

doi:10.3778/j.issn.1002-8331.2010.06.016

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (6): 56-59.DOI: 10.3778/j.issn.1002-8331.2010.06.016

• 研究、探讨 • Previous Articles Next Articles

Hybrid artificial fish school algorithm for solving matrix eigenvalues

HUANG Hua-juan，ZHOU Yong-quan，WEI Xing-qiong，LUO De-xiang

College of Mathematics and Computer Science，Guangxi University for Nationalities，Nanning 530006，China

Received:2008-09-23 Revised:2008-12-22 Online:2010-02-21 Published:2010-02-21
Contact: HUANG Hua-juan

求解矩阵特征值的混合人工鱼群算法

黄华娟，周永权，韦杏琼，罗德相

广西民族大学数学与计算机科学学院，南宁 530006

通讯作者: 黄华娟

Abstract

Abstract: Based on the distribution about eigenvalues of matrix，the approximately distributed region of matrix eigenvalues is determinated，using hybrid artificial fish school algorithm to solve approximate eigenvalues of matrix.Several experimental results show that the proposed hybrid artificial fish school algorithm is efficient in solving the matrix’s eigenvalues and can reach a certain precision.

Key words: matrix, eigenvalues, circular disc theorem, hybrid artificial fish school algorithm

摘要： 根据矩阵特征值的分布理论，通过确定矩阵特征值的分布区域，用混合人工鱼群算法来求解任意数值矩阵特征值的近似值。实验结果表明，这种基于混合人工鱼群求解矩阵特征值的算法，可达到一定的精度，能够有效地获得任意矩阵的特征值。

关键词: 矩阵, 特征值, 圆盘定理, 混合人工鱼群算法

CLC Number:

TP18

HUANG Hua-juan，ZHOU Yong-quan，WEI Xing-qiong，LUO De-xiang. Hybrid artificial fish school algorithm for solving matrix eigenvalues[J]. Computer Engineering and Applications, 2010, 46(6): 56-59.

黄华娟，周永权，韦杏琼，罗德相. 求解矩阵特征值的混合人工鱼群算法[J]. 计算机工程与应用, 2010, 46(6): 56-59.

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Hybrid artificial fish school algorithm for solving matrix eigenvalues

求解矩阵特征值的混合人工鱼群算法

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