One of the fundamental operations in machine learning is computing the inverse of a square matrix. But not all matrices have an inverse. The most common way to check if a matrix has an inverse or not ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Let $B \in M_{n}(C)$ be a row diagonally dominant matrix, i.e., $\sigma_i \left\vert b_{ii}\right\vert = \sum\limits_{{j=i} \atop {j\not=i}}^n} \left\vert b_{ij ...

The Annals of Mathematical Statistics, Vol. 17, No. 3 (Sep., 1946), pp. 336-343 (8 pages) The enlargement principle provides techniques for inverting any nonsingular matrix by building the inverse ...