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Extremal ranks of matrix expression of A − BXC with respect to Hermitian matrix |
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| Authors: | Wenbin Guo Tingzhu Huang |
| Institution: | a School of Mathematics Science, LiaoCheng University, Shandong Province, People’s Republic of China b School of Applied Mathematics, University of Electronic Science and Technology of China, People’s Republic of China |
| Abstract: | The extremal ranks of matrix expression of A − BXC with respect to XH = X have been discussed by applying the quotient singular value decomposition Q-SVD and some rank equalities of matrices in this paper. |
| Keywords: | Minimal rank Maximal rank Q-SVD Moore-Penrose generalized inverses Hermitian matrix Skew-Hermitian matrix |
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