A New Method for Computing Moore-Penrose Inverse through Gauss-Jordan Elimination
Performing elementary row operations on [ A | 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 A † of a general matrix A 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. [ABSTRACT FROM AUTHOR]
Ji, J., & Chen, X. (2014). A new method for computing Moore–Penrose inverse through Gauss–Jordan elimination. Applied Mathematics and Computation,245, 271-278.