- Title
- Optimal rees matrix constructions for analysis of data
- Creator
- Kelarev, Andrei; Yearwood, John; Zi, Lifang
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/63531
- Identifier
- vital:4936
- Identifier
-
https://doi.org/10.1017/S1446788711001510
- Identifier
- ISSN:1446-7887
- Abstract
- 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. © 2013 Australian Mathematical Publishing Association Inc.
- Relation
- Journal of the Australian Mathematical Society Vol. 92, no. 3 (2012), p. 357-366; http://purl.org/au-research/grants/arc/LP0990908; http://purl.org/au-research/grants/arc/DP0211866
- Rights
- Copyright 2013 Australian Mathematical Publishing Association Inc.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Classification and clustering; Rees matrix semigroups; Sets of centroids; 0101 Pure Mathematics
- Full Text
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