Rank equalities related to the generalized inverses AT,S(2), BT1,S1(2) of two matrices A and B

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摘要

For given matrices A and B, by applying the group inverse expressions of generalized inverses AT,S(2) and BT1,S1(2), we present some rank equalities related to AT,S(2) and BT1,S1(2). As applications, we obtain a variety of rank equalities related to the Moore–Penrose inverses, the Drazin inverses, the group inverses and the weighted Moore–Penrose inverses of A and B.

论文关键词：Rank,Generalized inverse AT,S(2),Moore–Penrose inverse,Weighted Moore–Penrose inverse,Drazin inverse,Group inverse

论文评审过程：Available online 27 November 2003.

论文官网地址：https://doi.org/10.1016/j.amc.2003.08.124