Diagrammatic presentation of inner and outer inverses: S-diagrams

✍ Scribed by Sujit Kumar Mitra

• Book ID: 104156497
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 674 KB
• Volume: 287
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(98)10192-1

✦ Synopsis

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.