Using rank formulas to characterize equalities for Moore–Penrose inverses of matrix products
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摘要
A group of rank formulas related to the Moore–Penrose inverses (AB)† and B†A† are established. Various interesting consequences of these rank formulas are obtained. The extensions of these results to the weighted Moore–Penrose inverses (AB)M,N† and B†P,NA†M,P are considered.
论文关键词：Matrix product,Moore–Penrose inverse,Weighted Moore–Penrose inverse,Rank equality,Reverse order law
论文评审过程：Available online 19 February 2003.
论文官网地址：https://doi.org/10.1016/S0096-3003(02)00796-8
