Circulant matrices in extremal algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F11%3A10070016" target="_blank" >RIV/62690094:18450/11:10070016 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Circulant matrices in extremal algebras
Original language description
In this paper circulant matrices in max-plus and max-min algebra are presented. For special types of matrices such as circulant matrices, the computation can often be performed in the simpler way than in the general case. The so-called max-plus algebra is useful for investigation of discrete events systems and the sequence of states in discrete time corresponds to powers of matrices in max-plus algebra. The eigenproblem for max-plus matrices describes the steady state of the system. Investigation of theeigenproblem in max-min algebra is important for applications connected with questions of system reliability, or with fuzzy relations. Therefore, both algebras have been intensively studied by many authors. In literature we can find many information about max-plus and max-min algebras applied on general matrices. For this purpose, knowledge of circulant matrices and their benefits in extremal algebras mentioned above was summarize to give a general view of circulant matrices used in ext
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Development of Non-standard Optimization Methods and their Applications in Economy and Management</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
CJS 2011 : proceedings of the 14th Czech-Japan seminar on data analysis and decision making under uncertainty
ISBN
978-80-7378-179-8
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
125-131
Publisher name
Matfyzpress
Place of publication
Praha
Event location
Hejnice, Česká republika
Event date
Sep 18, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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