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 ...

Abstract.The full-rank LDL* decomposition of a polynomial Hermitian matrix is examined. Explicit formulae are given evaluating the coefficients of matrices 𝑙𝑖𝑗 and 𝑑𝑗𝑗. Also, a new method is ...

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