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

الموضوعات : مجله بین المللی ریاضیات صنعتی

H. Esmaeili ¹ (Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.)
R. Erfanifar ² (Department of Mathematics, Malayer University, Malayer, Iran.)
M. Rashidi ³ (Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.)

تاريخ الإرسال : 26 الإثنين , ذو القعدة, 1437 تاريخ التأكيد : 02 الخميس , رمضان, 1439 تاريخ الإصدار : 15 الأحد , رجب, 1439

الکلمات المفتاحية: Moore-Penrose inverse, Iterative method, Schulz-type method, Matrix multiplication, Fourth-order convergence,

ملخص المقالة :

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.