Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630338 | Applied Mathematics and Computation | 2011 | 8 Pages |
Abstract
In this article, we consider common Re-nnd and Re-pd solutions of the matrix equations AXÂ =Â C and XBÂ =Â D with respect to X, where A, B, C and D are given matrices. We give necessary and sufficient conditions for the existence of common Re-nnd and Re-pd solutions to the pair of the matrix equations and derive a representation of the common Re-nnd and Re-pd solutions to these two equations when they exist. The presented examples show the advantage of the proposed approach.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhiping Xiong, Yingying Qin,