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An accelerated iterative method for computing weighted Moore–Penrose inverse
Journal article   Peer reviewed

An accelerated iterative method for computing weighted Moore–Penrose inverse

F. Soleymani, Predrag S. Stanimirović and Malik Zaka Ullah
Applied mathematics and computation, Vol.222, pp.365-371
01/10/2013
DOI: https://doi.org/10.1016/j.amc.2013.07.039

Abstract

Initial approximation Iterative methods Schulz method Weighted Moore–Penrose inverse Weighted singular value decomposition
The goal of this paper is to present an accelerated iterative method for computing weighted Moore–Penrose inverse. Analysis of convergence is included to show that the proposed scheme has sixth-order convergence. Using a proper initial matrix, a sequence of iterates will be produced, which is convergent to the weighted Moore–Penrose inverse. Numerical experiments are reported to show the efficiency of the new method.

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