Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 344, Issue 8, Pages 1056-1062Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2007.05.002
Keywords
generalized inverse; matrix equation; general solution; projection operator
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In this note, the problem of solution to the matrix equation AX + X-T C = B is considered by the Moore-Penrose generalized inverse matrix. A general solution to this equation is obtained. At the same time, some useful conclusions are made, which play important roles in the linear system theories and applications. (c) 2007 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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