JSTOR Daily

The Expression for the Group Inverse of the Anti–triangular Block Matrix

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 ...
JSTOR Daily

Improved results on the Drazin inverse of a 2 × 2 block matrix in terms of Banachiewicz-Schur forms

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 ...
Visual Studio Magazine

Matrix Inverse from Scratch Using SVD Decomposition with C#

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on an implementation of the technique that emphasizes simplicity and ease-of-modification over robustness and ...
Visual Studio Magazine

Matrix Inverse Using Cayley-Hamilton with C#

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 challenging tasks in numerical ...