矩阵和关于{1,2}-逆与{1,3}-逆的混合吸收律

摘要

The concepts of the mixed first absorption laws and the mixed second absorption laws on generalized inverse were given. Using the matrix rank method, the generalized Schur complement and singular value decomposition (SVD), necessary and sufficient conditions about the mixed first absorption laws and the mixed second absorption laws on { 1,2 }-inverse and { 1,3 }-inverse were established.%定义了两个矩阵和关于广义逆的混合第一和第二吸收律的概念,利用矩阵的广义Schur补、秩方法及奇异值分解(SVD)研究了两个矩阵和关于{1,2}-逆与{1,3}-逆的混合第一、第二吸收律成立的充要条件.