Displacement structure of group inverses

descriptionPublicationkeyboard_double_arrow_right Article 04 Oct 2004 English Publisher:WileyJournal:Numerical Linear Algebra with Applications, volume 12, pages 103-110 (issn: 1070-5325, eissn: 1099-1506,

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Authors: Yimin Wei 0001; Michael K. Ng 0001;

doi: 10.1002/nla.405

Displacement structure of group inverses

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Abstract

AbstractA matrix A is said to possess an UV‐displacement structure if rank(AU – VA) is small compared with the rank of A. Estimates for the rank AgV – UAg are presented, where Ag is the group inverse of A. Copyright © 2004 John Wiley & Sons, Ltd.

Related Organizations

Fudan University
China (People's Republic of)
University of Hong Kong
China (People's Republic of)

Keywords

Vector spaces, linear dependence, rank, lineability, group inverse, displacement structure, Canonical forms, reductions, classification, Jordan canonical form, Theory of matrix inversion and generalized inverses

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