About: Max-plus algebra and its application in spreading of information

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Description	In this paper circulant matrices in max-plus algebra are presented. Circulant matrices are special form of matrices which are entered by vector of inputs. 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. Max-plus algebra has been intensively studied by many authors, see e.g. (Cunningham-Green, Gavalec, Plavka, Zimmerman). Max-plus algebra can solve the problem when looking for a steady system states shifted in time. Therefore, this article focuses on possible applications of max-plus artificial reverberation. In this paper circulant matrices in max-plus algebra are presented. Circulant matrices are special form of matrices which are entered by vector of inputs. 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. Max-plus algebra has been intensively studied by many authors, see e.g. (Cunningham-Green, Gavalec, Plavka, Zimmerman). Max-plus algebra can solve the problem when looking for a steady system states shifted in time. Therefore, this article focuses on possible applications of max-plus artificial reverberation. (en)
Title	Max-plus algebra and its application in spreading of information Max-plus algebra and its application in spreading of information (en)
skos:prefLabel	Max-plus algebra and its application in spreading of information Max-plus algebra and its application in spreading of information (en)
skos:notation	RIV/62690094:18450/12:50000465!RIV13-GA0-18450___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA402/09/0405), S
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Tomášková, Hana
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Hradec Králové / Fakulta informatiky a managementu
http://linked.open...dnocenehoVysledku	148798
http://linked.open...ai/riv/idVysledku	RIV/62690094:18450/12:50000465
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	artificial reverberation; steady states; circulant matrices; eigenvector; eigenproblem; Max-plus algebra (en)
http://linked.open.../riv/klicoveSlovo	steady states circulant matrices eigenproblem eigenvector artificial reverberation Max-plus algebra
http://linked.open...ontrolniKodProRIV	[1E1314B69F66]
http://linked.open...v/mistoKonaniAkce	Sliema
http://linked.open...i/riv/mistoVydani	Athens
http://linked.open...i/riv/nazevZdroje	Mathematical and computational methods in science and engineering (MACMESE 2012)
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of Non-standard Optimization Methods and their Applications in Economy and Management
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Tomášková, Hana
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-09-07 (xsd:date)
issn	2227-4588
number of pages	4 (xsd:int)
http://purl.org/ne...btex#hasPublisher	World scientific and engineering academy and society
https://schema.org/isbn	978-1-61804-117-3
http://localhost/t...ganizacniJednotka	18450

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