Extremal ranks of matrix expression of A − BXC with respect to Hermitian matrix

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摘要

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.

论文关键词:Minimal rank,Maximal rank,Q-SVD,Moore–Penrose generalized inverses,Hermitian matrix,Skew–Hermitian matrix

论文评审过程:Available online 2 August 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.07.038