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2014 A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence
A. S. Al-Fhaid, S. Shateyi, M. Zaka Ullah, F. Soleymani
Abstr. Appl. Anal. 2014(SI10): 1-7 (2014). DOI: 10.1155/2014/137486


The aim of this paper is twofold. First, a matrix iteration for finding approximate inverses of nonsingular square matrices is constructed. Second, how the new method could be applied for computing the Drazin inverse is discussed. It is theoretically proven that the contributed method possesses the convergence rate nine. Numerical studies are brought forward to support the analytical parts.


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A. S. Al-Fhaid. S. Shateyi. M. Zaka Ullah. F. Soleymani. "A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence." Abstr. Appl. Anal. 2014 (SI10) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021786
MathSciNet: MR3198147
Digital Object Identifier: 10.1155/2014/137486

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI10 • 2014
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