A new method for computing Moore-Penrose inverse through Gauss-Jordan elimination

Performing elementary row operations on [A vertical bar I], we can calculate matrices whose columns form bases for N(A) and N(A*) easily. These matrices are then used to construct a bordered matrix through which the Moore-Penrose inverse At of a general matrix A(dagger) can be obtained through further elementary row operations. Our method is reduced to the classical Gauss-Jordan elimination procedure for the regular inverse when applied to a nonsingular matrix. An example is included to illustrate the new method. (C) 2014 Elsevier Inc. All rights reserved.