In 1995 Liao Anping and Guo Zhong in [1] raised a problem that a class of left and right inverse eigenvalue problem for semipositive subdefinite matrices was not touched and wanted to research. In this paper, we will ...In 1995 Liao Anping and Guo Zhong in [1] raised a problem that a class of left and right inverse eigenvalue problem for semipositive subdefinite matrices was not touched and wanted to research. In this paper, we will consider this problem.Problem I: given X, Z , Y, W , find A , such that AX=Z,Where The necessary and sufficient conditions for the solvability of this problem are obtained,the expression of the general solution of this problem is also given.展开更多
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 = ...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.展开更多
基金Supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD[2011]6)the Natural Science Foundation of Jiangsu Province of China(BK20130531,BK20151345)~~
文摘In 1995 Liao Anping and Guo Zhong in [1] raised a problem that a class of left and right inverse eigenvalue problem for semipositive subdefinite matrices was not touched and wanted to research. In this paper, we will consider this problem.Problem I: given X, Z , Y, W , find A , such that AX=Z,Where The necessary and sufficient conditions for the solvability of this problem are obtained,the expression of the general solution of this problem is also given.
文摘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.
