Diagrammatic presentation of inner and outer inverses: S-diagrams Original Research Article

In this paper we provide a diagrammatic representation of the entire gamut of generalised inverses (inner as well as outer) of a matrix. The S-diagram so constructed along with the ladder, an additional tool we introduce, allows us to make a deeper study of the equivalence relation as defined on inner inverses vis-a-vis the duality relation between inner and outer inverses.