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