ON THE OUTER INVERSES OF MATRICES AND LINEAR COMBINATIONS OF TWO OUTER INVERSES
Kezheng Zuo · Journal of Mathematics · 2008
The this paper,we research the expressions of the outer inverses of a matrix A.From the properties of rank of block matrix and outer inverses of a matrix,the classification of linear combinations of two outer inverse of A is also an outer inverses of A is obtained.Moreover,some necessary and sufficient conditions for the sum and the difference of two outer inverses of A is also an outer inverse of A are proved,which generalize the results of Jerzy K.Baksalary and Oskar Maria Baksalary.