About: Circulant matrices in extremal algebras

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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 the eigenproblem 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 extremal algebras. 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 the eigenproblem 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 extremal algebras. (en)
Title	Circulant matrices in extremal algebras Circulant matrices in extremal algebras (en)
skos:prefLabel	Circulant matrices in extremal algebras Circulant matrices in extremal algebras (en)
skos:notation	RIV/62690094:18450/11:10070016!RIV12-MSM-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	2012
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	190441
http://linked.open...ai/riv/idVysledku	RIV/62690094:18450/11:10070016
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	algebra; max-min; max-plus; Circulant matrix (en)
http://linked.open.../riv/klicoveSlovo	Circulant matrix algebra max-min max-plus
http://linked.open...ontrolniKodProRIV	[ECABF86956DE]
http://linked.open...v/mistoKonaniAkce	Hejnice, Česká republika
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	CJS 2011 : proceedings of the 14th Czech-Japan seminar on data analysis and decision making under uncertainty
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	2011
http://linked.open...iv/tvurceVysledku	Tomášková, Hana
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2011-09-18 (xsd:date)
number of pages	7 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Matfyzpress
https://schema.org/isbn	978-80-7378-179-8
http://localhost/t...ganizacniJednotka	18450

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