Weighted binary relations involving the Drazin inverse

A. Hernández, M. Lattanzi and N. Thome

Applied Mathematics and Computation, 2015, vol. 253, issue C, 215-223

Abstract: The Drazin inverse of a matrix has been used in the literature to define a pre-order on the set of square complex matrices. In this paper we analyze new binary relations defined on the set of rectangular complex matrices and some relationships to the W-support idempotent. We introduce the class of weighted Drazin equal projectors and analyze the pre-orders on this class. Moreover, adjacent matrices are studied under the considered relations. Finally, some observations on weighted partial orders are given.

Keywords: Drazin inverse; Drazin pre-order; Sharp partial order (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:253:y:2015:i:c:p:215-223

DOI: 10.1016/j.amc.2014.12.102

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