Circulant matrices in extremal algebras

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Circulant matrices in extremal algebras

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Circulant matrices in extremal algebras

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Rozvoj nestandardních optimalizačních metod a jejich aplikace v ekonomii a managementu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

7

Strana od-do

125-131

Název nakladatele

Matfyzpress

Místo vydání

Praha

Místo konání akce

Hejnice, Česká republika

Datum konání akce

18. 9. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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