矩阵和关于{1,2}-逆与{1,4}-逆的混合吸收律

The Mixed Absorption Laws of the Sum of Two Matrices on{1,2}-Inverse and {1,4}-Inverse

定义2个矩阵和关于广义逆的混合第一和第二吸收律的概念,利用矩阵的广义逆Schur补、秩方法及奇异值分解(SVD)得到2个矩阵和关于{1,2}-逆与{1,4}-逆的混合第一、第二吸收律成立的充要条件.

The concept of the mixed first absorption laws and the mixed second absorption laws on generalized inverse is given.U-sing the matrix rank method,the generalized Schur complement and SVD,necessary and sufficient conditions about the mixed first ab-sorption laws and the mixed second absorption laws on{1,2}-inverse and{1,4}-inverse are established.