两个矩阵和的｛1,3｝-逆与｛1,4｝-逆

On {1,3}-inverse and {1,4}-inverse matrix of sum of two matrices

利用矩阵的秩方法与广义Schur补的最大秩与最小秩,研究两个矩阵和的{1,3}-逆与{1,4}-逆分别与各个矩阵的{1,3}-逆与{1,4}-逆的和之间的关系.得到{A(1,3)+B(1,3)}={(A+B)(1,3)}以及{A(1,4)+B(1,4)}={(A+B)(1,4)}成立的充要条件.

The relation between {1,3}-inverse and {1,4}-inverse of sum of two matrices and the sum of {1,3}-inverse and {1,4}-inverse of every matrix was studied by using matrix rank method and maximal ranks and minimal ranks of generalized Schur complement.The necessary and sufficient conditions of {A（1,3）＋B（1,3）}={（A＋B）（1,3）} and {A（1,4）＋B（1,4）}={（A＋B）（1,4）} were obtained.