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On the invertibility of the operator A – XB
Author(s) -
Deng Chun Yuan
Publication year - 2009
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.646
Subject(s) - mathematics , operator (biology) , inverse , drazin inverse , generalized inverse , moore–penrose pseudoinverse , shift operator , pure mathematics , algebra over a field , compact operator , combinatorics , geometry , computer science , biochemistry , chemistry , repressor , transcription factor , extension (predicate logic) , gene , programming language
For a given pair of ( A , B ) and an arbitrary operator X , expressions for the inverse, the Moore–Penrose inverse and the generalized Drazin inverse of the operator A – XB are derived under some conditions. Copyright © 2009 John Wiley & Sons, Ltd.