Computing the inverse of a matrix is one of the most important operations in machine learning. If some matrix A has shape n-by-n, then its inverse matrix Ai is n-by-n and the matrix product of Ai * A ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most difficult tasks in numerical ...

Abstract. In this paper, we present the explicit expression for the group inverse of the sum of two matrices. As an application, the explicit expression for the group ...

Abstract.In this paper, we derive a representation for the Drazin inverse of a block matrix M=( A B C D ) under the assumptions 𝐴𝐴𝜋𝐵 = 0, 𝐶𝐴𝜋𝐵 ...