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.
出处
《计算数学》
CSCD
北大核心
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.
关键词
亚半正定矩阵
左右逆特征值问题
广义奇异值分解
Semipositive subdefinite matris, left and right inverse eigenvalue problem, generalized singular value decom- positon
