Rank equalities for submatrices in generalized inverse MT,S(2) of M

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摘要

By applying the group inverse expressions of the generalized inverse MT,S(2) of the matrix M, we present some rank equalities for submatrices in MT,S(2). As applications, we derive rank equalities for submatrices in the Moore–Penrose inverse and the Drazin inverse.

论文关键词:Rank,Submatrix,Generalized inverse MT,S(2),Moore–Penrose inverse,Drazin inverse

论文评审过程:Available online 9 July 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(03)00572-1