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 ...

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 ...

Introduces linear algebra and matrices, with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses computational ...

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications. These methods ...

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 ...