Eigenspace of interval matrices in max-min algebra

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Eigenspace of interval matrices in max-min algebra
Original language description
The input data in real problems are usually not exact values and can be characterized by intervals. Then the investigation of stable states Leeds to computing interval eigenvectors. The eigenspace structure of a given interval matrix A in max-min algebrais studied in the paper. Monotone interval eigenvectors x ful_lling the equation Ax = x are described. By max-min algebra we understand a linear structure on a linearly ordered set with two binary operations maximum and minimum, used similarly as addition and multiplication in the classical linear algebra. The operations max and min are extended to matrices and vectors in a natural way. The characterization of interval eigenvectors presented earlier in [7] for strictly increasing and for constant eigenvectors is extended now to general interval eigenvectors. Six types of general interval eigenvectors are studied according to classifcation of monotone interval eigenvectors and characterization of all six types is described.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mathematical methods in economics 2011 : part I. : proceedings
ISBN
978-80-7431-058-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
182-187
Publisher name
Professional publishing
Place of publication
Praha
Event location
Janská Dolina, Slovakia
Event date
Sep 6, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000309074600030

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