分块矩阵g-逆的块独立性

On the Block Independence in g-Inverses of Block Matrices

本文研究分块矩阵g-逆的块独立性,得到两个和三个复矩阵块独立的充分 必要条件,并揭示了不同定义下的块独立性定义之间的联系.

This paper studies the block independence in g-inverses of block matrices. We derive the necessary and sufficient conditions of block independence in g-inverses of two and three complex matrices, and reveal the relations between the definitions of block independence.