A third order iterative method for A†

Authors:
Shwetabh Srivastava;D. K. Gupta
Affiliations:
Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, West Bengal, India;Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, West Bengal, India
Venue:
International Journal of Computing Science and Mathematics
Year:
2013

Citing 3
Cited 0

Matrix analysis

Matrix analysis
A new method for computing Moore-Penrose inverse matrices

Journal of Computational and Applied Mathematics
Iterative method for computing the Moore-Penrose inverse based on Penrose equations

Journal of Computational and Applied Mathematics

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Abstract

A third order iterative method for estimating the Moore-Penrose generalised inverse is developed by extending the second order iterative method described in Petkovi and Stanimirovi 2011. Convergence analysis along with the error estimates of the method are investigated. Three numerical examples, two for full rank simple and randomly generated singular rectangular matrices and third for rank deficient singular square matrices with large condition numbers from the matrix computation toolbox are worked out to demonstrate the efficacy of the method. The performance measures used are the number of iterations and CPU time used by the method. On comparing the results obtained by our method with those obtained with the method given in Petkovi and Stanimirovi 2011, it is observed that our method gives improved performance.