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Least squares solutions with special structure to the linear matrix equation AXB = C |
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| Authors: | Fengxia Zhang Ying LiWenbin Guo Jianli Zhao |
| Institution: | College of Mathematics Science, Liaocheng University, Shandong Liaocheng 252059, PR China |
| Abstract: | In this article we give some formulas for the maximal and minimal ranks of the submatrices in a least squares solution X to AXB = C. From these formulas, we derive necessary and sufficient conditions for the submatrices to be zero and other special forms, respectively. Finally, some Hermitian properties for least squares solution to matrix equation AXB = C are derived. |
| Keywords: | Generalized inverse Linear matrix equation Least squares solution Maximal rank Minimal rank Matrix rank method |
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