A Family of Arbitrary High-Order Iterative Methods for Approximating Inverse and the Moore–Penrose Inverse

Authors : Esmaeil KOKABİFAR

Pages : 109-114

Doi:10.33434/cams.718365

View : 17 | Download : 9

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :In this work, a family of iterative algorithms for approximating the inverse of a square matrix and the Moore-Penrose inverse of a non-square one is proposed. These methods are based on arbitrary high-order iterative techniques which are used for computing roots of a nonlinear function. Therefore the presented techniques occupy any high-order convergence. The proposed methods are convenient and self-explanatory, achieve satisfactory results, and also require less and easy computations compared to some current schemes. Experimental results are provided to illustrate the reliability and robustness of the techniques.
Keywords : Iterative method, MoorePenrose, Approximate inverse