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Displacement structure of group inverses
Author(s) -
Wei Yimin,
Ng Michael K.
Publication year - 2004
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.405
Subject(s) - rank (graph theory) , mathematics , group (periodic table) , displacement (psychology) , inverse , matrix (chemical analysis) , combinatorics , geometry , physics , chemistry , psychology , psychotherapist , chromatography , quantum mechanics
Abstract A 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 A g V – UA g are presented, where A g is the group inverse of A . Copyright © 2004 John Wiley & Sons, Ltd.