Diagrammatic presentation of inner and outer inverses: S-diagrams

Mitra, Sujit Kumar (1999) Diagrammatic presentation of inner and outer inverses: S-diagrams Linear Algebra and its Applications, 287 (1-3). pp. 271-288. ISSN 0024-3795

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...

Related URL: http://dx.doi.org/10.1016/S0024-3795(98)10192-1

Abstract

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.

Item Type:Article
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ID Code:31930
Deposited On:30 Mar 2011 12:59
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