Computation of eigenvalues and eigenvectors of unsymmetrical real matrix based on neural network

被引：0

作者：

Yang, JG ^{[1
]}

Sun, BQ ^{[1
]}

An, H ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Comp Sci & Engn, Hangzhou 310027, Peoples R China

来源：

COMPUTER SCIENCE AND TECHNOLOGY IN NEW CENTURY | 2001年

关键词：

neural network; matrix; eigenvalue; eigenvector;

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：

In this paper, we investigate a class of neural network described by differential equation and apply it to compute the eigenvalues and eigenvectors of an unsymmetrical real matrix. We give the analytic expression of solution and also discuss its asymptotic behavior. Finally we use the asymptotic property to give a method that could compute the eigenvalue with maximal real part and the corresponding eigenvector.

引用

页码：23 / 28

页数：4

共 50 条

[21] Another neural network based approach for computing eigenvalues and eigenvectors of real skew-symmetric matrices
Tang, Ying
Li, Jianping
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1385 - 1392
[22] Neural-Network-Based Approach for Extracting Eigenvectors and Eigenvalues of Real Normal Matrices and Some Extension to Real Matrices
Zou, Xiongfei
Tang, Ying
Bu, Shirong
Luo, Zhengxiang
Zhong, Shouming
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[23] On computation of approximate eigenvalues and eigenvectors
Kitamoto, T
[J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2002, E85A (03) : 664 - 675
[24] Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils
Andrew, AL
Tan, RCE
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 20 (01) : 78 - 100
[25] EIGENVALUES AND EIGENVECTORS OF A REAL GENERAL MATRIX [F2]
GRAD, J
BREBNER, MA
[J]. COMMUNICATIONS OF THE ACM, 1968, 11 (12) : 820 - &
[26] COMPARISON OF METHODS FOR COMPUTING EIGENVALUES + EIGENVECTORS OF REAL SYMMETRIC MATRIX
WHITE, PA
BROWN, RR
[J]. MATHEMATICS OF COMPUTATION, 1964, 18 (87) : 457 - &
[27] AN ITERATIVE PROCEDURE FOR THE CALCULATION OF THE EIGENVALUES AND EIGENVECTORS OF A REAL SYMMETRIC MATRIX
VONHOLDT, RE
[J]. JOURNAL OF THE ACM, 1956, 3 (03) : 223 - 238
[28] AN APL PROCEDURE FOR COMPUTING THE EIGENVECTORS AND EIGENVALUES OF A REAL SYMMETRIC MATRIX
ADAMS, JL
WOODWARD, JA
[J]. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1984, 44 (01) : 131 - 135
[29] ITERATIVE COMPUTATION OF DERIVATIVES OF EIGENVALUES AND EIGENVECTORS
ANDREW, AL
[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1979, 24 (02): : 209 - 218
[30] EIGENVALUES AND EIGENVECTORS OF A COMBINATORIAL MATRIX
HULSBERGEN, W
JAGERS, AA
[J]. SIAM REVIEW, 1990, 32 (01) : 148 - 149

← 1 2 3 4 5 →