A Seventh-Order Scheme for Computing the Generalized Drazin Inverse

Author:

Ahmed Dilan,Hama Mudhafar,Jwamer Karwan Hama Faraj,Shateyi Stanford

Abstract

One of the most important generalized inverses is the Drazin inverse, which is defined for square matrices having an index. The objective of this work is to investigate and present a computational tool in the form of an iterative method for computing this task. This scheme reaches the seventh rate of convergence as long as a suitable initial matrix is chosen and by employing only five matrix products per cycle. After some analytical discussions, several tests are provided to show the efficiency of the presented formulation.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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1. On generalized-Drazin inverses and GD-star matrices;Journal of Applied Mathematics and Computing;2023-11-29

2. FACTORS OF MAGNETIC PULSE INFLUENCE AFFECTING MORPHOLOGICAL CHANGES IN A BIOLOGICAL CELL;Izvestiya of Samara Scientific Center of the Russian Academy of Sciences;2022

3. The Nullity, Rank, and Invertibility of Linear Combinations of k-Potent Matrices;Mathematics;2020-12-02

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