Regular Matrices over an Incline

Ar. Meenakshi ()
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Ar. Meenakshi: Annamalai University

A chapter in Combinatorial Matrix Theory and Generalized Inverses of Matrices, 2013, pp 183-193 from Springer

Abstract: Abstract We discuss the invertibility of incline matrices over DL, the set of all idempotent elements in an incline, and for matrices over an integral incline. We discuss the regularity of matrices over DL. We obtain equivalent conditions for the existence of various generalized inverses of an incline matrix. We provide an algorithm for the regularity of matrices over DL and illustrate with suitable examples.

Keywords: Incline; Regular incline; Integral incline; 15B33; 15A09 (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1053-5_16

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DOI: 10.1007/978-81-322-1053-5_16

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