title: A new high-order stable numerical method for matrix inversion.
abstract: 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.
authors.affiliation: Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
authors.forename: F Khaksar
authors.initials: FK
authors.lastname: Haghani
authors.affiliation: Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran.
authors.forename: F
authors.initials: F
authors.lastname: Soleymani
mesh_terms: D055641:Mathematical Concepts