Author/Authors :
Esmaeili, H. Department of Mathematics - Bu-Ali Sina University, Hamedan, Iran , Erfanifar, R. Department of Mathematics - Malayer University, Malayer, Iran , Rashidi, M. 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 :
Matrix multiplication , Fourth-order convergence , Schulz-type method , Iterative method , Moore-Penrose inverse
