Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2013; 28(2): 407-418

Printed April 1, 2013

https://doi.org/10.4134/CKMS.2013.28.2.407

Copyright © The Korean Mathematical Society.

On a fast iterative method for approximate inverse of matrices

Fazlollah Soleymani

Islamic Azad University

Abstract

This paper studies a computational iterative method to find accurate approximations for the inverse of real or complex matrices. The analysis of convergence reveals that the method reaches seventh-order convergence. Numerical results including the comparison with different existing methods in the literature will also be considered to manifest its superiority in different types of problems.

Keywords: Hotelling-Bodewig algorithm, ill-conditioned, approximate inverse, initial matrix

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