Conic Characterization of Monge Matrices

A complete description is given to the linearity space of Monge cone matrices and of all its minimum faces. The description makes it possible to completely characterize Monge matrices. Possible applications of the results obtained are discussed. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Cybernetics and systems analysis 2004-07, Vol.40 (4), p.537-546
Main Author: Demidenko, V. M.
Format: Article
Language:English
Subjects:
Algorithms
Geometry
Linear programming
Matrix
Optimization
Studies
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Description
Summary:A complete description is given to the linearity space of Monge cone matrices and of all its minimum faces. The description makes it possible to completely characterize Monge matrices. Possible applications of the results obtained are discussed. [PUBLICATION ABSTRACT]
ISSN:1060-0396
1573-8337
DOI:10.1023/B:CASA.0000047875.57623.23