Weighted G-Drazin inverses and a new pre-order on rectangular matrices

C. Coll, M. Lattanzi and N. Thome

Applied Mathematics and Computation, 2018, vol. 317, issue C, 12-24

Abstract: This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we define and characterize weighted G-Drazin inverses. Next, we consider a new pre-order defined on complex rectangular matrices based on weighted G-Drazin inverses. Finally, we characterize this pre-order and relate it to the minus partial order and to the weighted Drazin pre-order.

Keywords: G-Drazin inverse; Weighted Drazin inverse; G-Drazin partial order; Minus partial order; Weighted Drazin pre-order (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:317:y:2018:i:c:p:12-24

DOI: 10.1016/j.amc.2017.08.047

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