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Memorias de investigación
Communications at congresses:
Existence and representation of the group inverse of additive perturbations
Year:2011
Research Areas
  • Mathematics
Information
Abstract
Let R be a ring with unity 1. If the group inverse of the element a of R exists, the additive perturbed element a+b is not necessarily group invertible. Our purpose is to give a characterization for the group invertibility of a+b in terms of a unit of R. Further, a representation for the group inverse of (a+b) will be derived. The group inverse plays an important role in the theory of Markov chains. Some applications in the setting of complex square matrices will be indicated.
International
Si
Congress
MAT-TRIAD, 2011
960
Place
TOMAR, PORTUGAL
Reviewers
Si
ISBN/ISSN
978-972-9473-53-1
Start Date
11/07/2011
End Date
16/07/2011
From page
75
To page
75
Book of Abstracts, Mat-Triad 2011 Conference on Matrix Analysis and its applications, Publicado por Instituto Politécnico de Tomar
Participants
  • Autor: Blanca Nieves Castro Gonzalez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Sistemas Singulares e Inversas Generalizadas
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