The Weak Group-star matrix
Abstract
In this paper, we introduce one type of matrix, called the Weak group-Star matrix. We investigate the characterizations, representations, and properties of the matrix. Moreover, the Cramer’s rule for the solution of a singular equation (A^\dagger)^*x=b is presented. Then, the perturbation is also given for the Weak group-Star matrix. In the fifinal, the Weak group-Star matrix being used in solving appropriate systems of linear equations is established.