Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 8, Pages 4012-4016Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.05.066
Keywords
Moore-Penrose inverse; Iterative method; Higher-order convergence
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Funding
- Shandong Provincial Postgraduate Education Program [SDYY10067]
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In this paper, we extend the iterative method for computing the inner inverse of a matrix proposed in Li and Li [W.G. Li, Z. Li, A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix, Applied Mathematics and Computation 215 (2010) 3433-3442] to compute the Moore-Penrose inverse of a matrix, and show that the generated sequence converges to the Moore-Penrose inverse of a matrix in a higher order. The performance of the method is tested on some randomly generated matrices. (C) 2011 Published by Elsevier Inc.
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