Title

Computing the Outer and Group Inverses Through Elementary Row Operations

Department

Mathematics

Document Type

Article

Publication Date

8-10-2014

Abstract

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]