Drazin Inverse

Abstract

In Chap. 1, we discussed the Moore-Penrose inverse and the {i, j, k} inverses which possess some “inverse-like” properties. The {i, j, k} inverses provide some types of solution, or the least-square solution, for a system of linear equations just as the regular inverse provides a unique solution for a nonsingular system of linear equations. Hence the {i, j, k} inverses are called equation solving inverses. However, there are some properties of the regular inverse matrix that the {i, j, k} inverses do not possess.