• GROUP INVERSE FOR A CLASS OF ANTI-CENTROSYMMETRIC MATRIX

Abstract

In this paper a class of anti-centrosymmetric matrix is considered, its full rank decomposition is based on, and the group inverse for this decomposition is obtained, and the relationship between mother matrix and the group inverse for this class of anti-centrosymmetric matrix is derived. The results show that the method can not only reduce the calculated amount and memory space, but also can not reduce the numerical accuracy; so extend the results of the related references and spread its application scope.