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Optimal rees matrix constructions for analysis of data

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journal contribution
posted on 2012-06-01, 00:00 authored by A V Kelarev, John YearwoodJohn Yearwood, L Zi
Abstract We introduce a new construction involving Rees matrix semigroups and max-plus algebras that is very convenient for generating sets of centroids. We describe completely all optimal sets of centroids for all Rees matrix semigroups without any restrictions on the sandwich matrices.

History

Journal

Journal of the Australian Mathematical Society

Volume

92

Issue

3

Pagination

357 - 366

Publisher

Cambridge University Press

Location

Cambridge, Eng.

Publisher DOI

Link to full text

ISSN

1446-7887

eISSN

1446-8107

Language

eng

Publication classification

C Journal article; C1.1 Refereed article in a scholarly journal

Copyright notice

2011, Australian Mathematical Publishing Association Inc.

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    Keywords

    Rees matrix semigroupssets of centroidsclassification and clusteringprimary 20M25secondary 62H30Data Format

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    All Rights Reserved

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