A High-Order Iterate Method for Computing AT,S(2)

Abstract

We investigate a new higher order iterative method for computing the generalized inverse $A_{T,S}^{(2)}$ for a given matrix $A$. We also discuss how the new method could be applied for finding approximate inverses of nonsingular square matrices. Analysis of convergence is included to show that the proposed scheme has at least fifteenth-order convergence. Some tests are also presented to show the superiority of the new method.