. "7"^^ . . . "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." . . "190441" . "Praha" . . "Hejnice, \u010Cesk\u00E1 republika" . "978-80-7378-179-8" . . "RIV/62690094:18450/11:10070016" . . . "Circulant matrices in extremal algebras" . "1"^^ . . . "1"^^ . "Circulant matrices in extremal algebras"@en . . . . "P(GA402/09/0405), S" . . . "2011-09-18+02:00"^^ . . "Tom\u00E1\u0161kov\u00E1, Hana" . "Circulant matrices in extremal algebras" . "Matfyzpress" . . "18450" . "Circulant matrices in extremal algebras"@en . "algebra; max-min; max-plus; Circulant matrix"@en . "CJS 2011 : proceedings of the 14th Czech-Japan seminar on data analysis and decision making under uncertainty" . "[ECABF86956DE]" . . "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 . . "RIV/62690094:18450/11:10070016!RIV12-MSM-18450___" .