对称正交对称矩阵的广义特征值反问题

Inverse Generalized Eigenvalue Problem for Symmetric Orthogonal Symmetric Matrices

ZHOU Shuo^1,2, WU Bai-sheng¹

(1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2.Department of Mathematics and Physics, Northeast China Institute of Electric Power Engineering, Jilin 132012, Jilin Province, China)

Received:2005-04-08 Revised:1900-01-01 Online:2006-03-26 Published:2006-03-26
Contact: WU Bai-sheng

Abstract

Abstract: Given matrix X and diagonal matrix Λ, the solutions (A,B) of the symmetric orthogonal symmetric matrices for inverse generalized eigenvalue problem AX=BXΛ are discussed. Based on singular values decomposition of a matrix, the general form of such solutions is established. Numerical examples were presented to illus trate the validity of the proposed method.

Key words: generalized eigenvalue, inverse problem, symmetric orthogonal symmetric matrix, singular value decomposition

CLC Number:

O241.6

ZHOU Shuo, WU Bai-sheng. Inverse Generalized Eigenvalue Problem for Symmetric Orthogonal Symmetric Matrices[J].J4, 2006, 44(02): 185-188.

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Inverse Generalized Eigenvalue Problem for Symmetric Orthogonal Symmetric Matrices

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