关于一类双对称阵的左右逆特征值问题的研究  

A Class of Left and Right Inverse Eigenvakue Problem for Bisymmiric Nonnegative Definite Matrices

作　　者：彭淑慧[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃联合大学学报（自然科学版）》2009年第1期13-14,共2页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：研究了一类双对称阵的左右逆特征值问题.对于给定的X,Z∈Rn×m,Y,W∈Rn×l,求A∈BSRn0×n,使得AX=Z,YTA=WT.本文给出问题有解的充要条件,并在有解时给出解集合的表达式.This paper discusses the following problem：to given problem X,Z ∈ R^n×m,Y,W ∈ R^n×l ,find A ∈ BSR0^n×n , such that AX = Z,Y^TA = Wr where BSR0^n×n is the set of all n× n bisymmetric nonnegative matrices. In this paper, the sufficient and necessary conditions under which the problem is nonempty are obtained. The general form of the solution has been given.

关 键 词：双对称非负定阵 左右逆特征值问题 M-P广义逆 

分 类 号：O151.21[理学—数学]