Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642769 | Journal of Computational and Applied Mathematics | 2007 | 12 Pages |
Abstract
In this paper, the necessary and sufficient conditions for the solvability of matrix equation AHXB=C over the reflexive or anti-reflexive matrices are given, and the general expression of the solution for a solvable case is obtained. Moreover, the relative optimal approximation problem is considered. The explicit expressions of the optimal approximation solution and the minimum norm solution are both provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiang-yang Peng, Xi-yan Hu, Lei Zhang,