一类亚半正定矩阵的左右逆特征值问题(Ⅱ)  

A CLASS OF LEFT AND RIGHT INVERSE EIGENVALUE PROBLEM FOR SEMIPOSITIVE SUBDEFINITE MATRICES (Ⅱ)

作　　者：欧阳柏玉[1,2] 佟文廷[1] 

机构地区：[1]南京大学数学系 [2]湖南师范大学数学系,长沙410081

出　　处：《计算数学》2002年第2期189-196,共8页Mathematica Numerica Sinica

基　　金：国家自然科学基金(10071035)资助项目.

摘　　要：This paper, as a natural sequel to [1], gives the further consideration of problem I posed by Liao Anping and Guo Zhong in [2]: given X, Z ∈ Rn×m, Y, W ∈ Rn×l, find A ∈ R0n×n such that AX = Z, yTA = WT, where R0n×n = {A ∈ Rn×n| X ∈ Rn×l,, XTAX ≥ 0}. In [1], we gave a necessary and sufficiellt condition for the solvability and the expression of the general solution of Problem I. In this papar,we will show a better expression of the general solution of Problem I.This paper, as a natural sequel to [1], gives the further consideration of problem I posed by Liao Anping and Guo Zhong in [2]: given X, Z ∈ Rn×m, Y, W ∈ Rn×l, find A ∈ R0n×n such that AX = Z, yTA = WT, where R0n×n = {A ∈ Rn×n| X ∈ Rn×l,, XTAX ≥ 0}. In [1], we gave a necessary and sufficiellt condition for the solvability and the expression of the general solution of Problem I. In this papar,we will show a better expression of the general solution of Problem I.

关 键 词：亚半正定矩阵 左右逆特征值问题 广义奇异值分解 

分 类 号：O151.21[理学—数学] O241.6[理学—基础数学]