Computing the Outer and Group Inverses Through Elementary Row Operations
A new method based on elementary row operations for computing the outer inverse of a given constant matrix is presented. When this method is applied to matrices of index one, a new expression for the group inverse is derived. Through this expression, a more efficient method for computing the group inverse of the square matrix A of order n with rank r ≤ 0.725 n is developed. [ABSTRACT FROM AUTHOR]
Ji, J. (2014). Computing the outer and group inverses through elementary row operations. Computers & Mathematics with Applications, 68(6), 655-663.