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On a partial order defined by the weighted Moore–Penrose inverse

Authors :
Hernández, A.
Lattanzi, M.
Thome, N.
Source :
Applied Mathematics & Computation. Mar2013, Vol. 219 Issue 14, p7310-7318. 9p.
Publication Year :
2013

Abstract

Abstract: The weighted Moore–Penrose inverse of a matrix can be used to define a partial order on the set of complex matrices and to introduce the concept of weighted-EP matrices. In this paper we study the weighted star partial order on the set of weighted-EP matrices. In addition, some properties that relate the eigenprojection at zero with the weighted star partial order are obtained. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00963003
Volume :
219
Issue :
14
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
86369772
Full Text :
https://doi.org/10.1016/j.amc.2013.02.010