| 一类半正定阵的反问题 |
| |
| 引用本文： | 廖安平.一类半正定阵的反问题[J].怀化学院学报,1991(1). |
| |
| 作者姓名： | 廖安平 |
| |
| 作者单位： | 湖南邵阳师专 |
| |
| 摘 要： | 本文给出了矩阵方程AX=B的反问题在半正定矩阵(未必对称)类中有解的充要条件,并在有解时给出其解的表达式。
|
| 关 键 词： | 矩阵反问题 半正定阵 Frobenius范数 闭凸锥 |
A Class of Inverse Problems of Semidefinite Matrices |
| |
| Liao Anping.A Class of Inverse Problems of Semidefinite Matrices[J].Journal of Huaihua University,1991(1). |
| |
| Authors: | Liao Anping |
| |
| Abstract: | In this paper,we consider the following problem:
Given X.B ∈Rn×m, find A ∈Qn, such that AX = B where Qn={A∈Rn×m|XTAX≥0, Ax∈Rn} The sufficient and necessary condition which T is nonempty is obtained, where T = {A|AX = B, A ∈ Qn, X,B∈ Rn×m}. The general form of T is given. |
| |
| Keywords: | Inverse problem of matrix semidefinite matrix Frobenius norm Closed convex cones |
| 本文献已被 CNKI 等数据库收录！ |
|
