An Efficient Schulz-type Method to Compute the Moore-Penrose Inverse

Document Type : Research Paper

Authors

1 Department of Mathematics, Bu-Ali Sina University, Hamedan, ‎Iran‎.

2 Department of Mathematics, Malayer University, ‎Malayer‎, ‎Iran.‎‎

3 Department of Mathematics, Bu-Ali Sina University, Hamedan, ‎Iran.

Abstract

A new Schulz-type method to compute the Moore-Penrose inverse of a matrix is proposed. Every iteration of the method involves four matrix multiplications. It is proved that this method converge with fourth-order. A wide set of numerical comparisons shows that the average number of matrix multiplications and the average CPU time of our method are considerably less than those of other methods.

Keywords

International Journal of Industrial Mathematics
Volume 10, Issue 2
April 2018
Pages 221-228

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