A New High-Order Stable Numerical Method for Matrix Inversion
Farhad Khaksar Haghani, Fazlollah Soleymani · The Scientific World JOURNAL · 2014
A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically. The efficiency of the contributed iterative method is clarified on solving some numerical examples.