Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473520 | Computers & Mathematics with Applications | 2011 | 8 Pages |
Abstract
In this paper, an explicit representation of the general common least-squares solution to the pair of matrix equations A1XB1=C1A1XB1=C1 and A2XB2=C2A2XB2=C2 is obtained. Furthermore, we use this result to determine the condition for the existence of a Hermitian least-squares solution to the matrix equation AXB=CAXB=C, and the expression of the general Hermitian least-squares solution is also given. Special attention is paid to consider the existence of Hermitian {1,i}{1,i}-inverses of AA, i=3i=3, 4, and the representations of the Hermitian generalized inverses are presented. Finally, a numerical example is given to illustrate our result.
Related Topics
Physical Sciences and Engineering
Computer Science
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Authors
Xifu Liu, Hu Yang,