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Volumn 1200, Issue , 1997, Pages 261-282

Methods and applications of (max,+) linear algebra

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; DISCRETE EVENT SIMULATION; GRAPH THEORY; LINEAR ALGEBRA; MANUFACTURE; MARKOV PROCESSES; OPERATIONS RESEARCH; STATISTICAL PHYSICS; TEMPERATURE;

EID: 84949639433     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0023465     Document Type: Conference Paper
Times cited : (123)

References (44)
  • 7
    • 38149148301 scopus 로고
    • Strong regularity of matrices -a survey of results
    • P. Butkovič. Strong regularity of matrices -a survey of results. Discrete Applied Mathematics, 48:45-68, 1994.
    • (1994) Discrete Applied Mathematics , vol.48 , pp. 45-68
    • Butkovič, P.1
  • 8
    • 0041469442 scopus 로고
    • Regularity of matrices in min-algebra and its time-complexity
    • P. Butkovič. Regularity of matrices in min-algebra and its time-complexity. Discrete Applied Mathematics, 57:121-132, 1995.
    • (1995) Discrete Applied Mathematics , vol.57 , pp. 121-132
    • Butkovič, P.1
  • 9
    • 0012448671 scopus 로고
    • An elimination method for finding all solutions of the system of linear equations over an extremal algebra
    • P. Butkovič and G. Hegediis. An elimination method for finding all solutions of the system of linear equations over an extremal algebra. Ekonomicko-matematicky Obzor, 20, 1984.
    • (1984) Ekonomicko-matematicky Obzor , vol.20
    • Butkovič, P.1    Hegediis, G.2
  • 12
  • 14
    • 0023966469 scopus 로고
    • Subadditivity, generalized products of random matrices and operations research
    • J.E. Cohen. Subadditivity, generalized products of random matrices and operations research. SIAM Review, 30:69-86,1988.
    • (1988) SIAM Review , vol.30 , pp. 69-86
    • Cohen, J.E.1
  • 15
    • 0003723221 scopus 로고
    • Number 166 in Lecture notes in Economics and Mathematical Systems. Springer
    • R.A. Cuninghame-Green. Minimax Algebra. Number 166 in Lecture notes in Economics and Mathematical Systems. Springer, 1979.
    • (1979) Minimax Algebra
    • Cuninghame-Green, R.A.1
  • 19
    • 0029482789 scopus 로고
    • Performance evaluation of (max,+) automata
    • Dec
    • S. Gaubert. Performance evaluation of (max,+) automata. IEEE Trans, on Automatic Control, 40(12), Dec 1995.
    • (1995) IEEE Trans, on Automatic Control , vol.40 , Issue.12
    • Gaubert, S.1
  • 20
    • 0002259491 scopus 로고    scopus 로고
    • On the Burnside problem for semigroups of matrices in the (max,+) algebra
    • S. Gaubert. On the Burnside problem for semigroups of matrices in the (max,+) algebra. Semigroup Forum, 52:271-292, 1996.
    • (1996) Semigroup Forum , vol.52 , pp. 271-292
    • Gaubert, S.1
  • 21
    • 0003975954 scopus 로고
    • Eyrolles, Paris, Engl, transl. Graphs and Algorithms, Wiley, 1984
    • M. Gondran and M. Minoux. Graphes et algorithmes. Eyrolles, Paris, 1979. Engl, transl. Graphs and Algorithms, Wiley, 1984.
    • (1979) Graphes et algorithmes
    • Gondran, M.1    Minoux, M.2
  • 22
    • 0000905183 scopus 로고
    • Linear algebra in dioids: A survey of recent results
    • M. Gondran and M. Minoux. Linear algebra in dioids: a survey of recent results. Annals of Discrete Mathematics, 19:147-164, 1984.
    • (1984) Annals of Discrete Mathematics , vol.19 , pp. 147-164
    • Gondran, M.1    Minoux, M.2
  • 24
    • 0003979673 scopus 로고    scopus 로고
    • Publications of the Newton Institute. Cambridge University Press, to appear in 1996 or
    • J. Gunawardena, editor. Idempotency. Publications of the Newton Institute. Cambridge University Press, to appear in 1996 or 1997.
    • (1997) Idempotency
    • Gunawardena, J.1
  • 25
    • 0025418739 scopus 로고
    • Improved limitedness theorems on finite automata with distance functions
    • K. Hashiguchi. Improved limitedness theorems on finite automata with distance functions. Theoret. Comput. Sci., 72:27-38, 1990.
    • (1990) Theoret. Comput. Sci , vol.72 , pp. 27-38
    • Hashiguchi, K.1
  • 26
    • 84949636293 scopus 로고
    • Az extremális sajátvektorok meghatározása eliminációs módszerrel -az általánosított Warshall algorithmus egy javítása
    • G. Hegedüs. Az extremális sajátvektorok meghatározása eliminációs módszerrel -az általánosított Warshall algorithmus egy javítása. Alkalmazott Matematikai Lapok, 11:399-408, 1985.
    • (1985) Alkalmazott Matematikai Lapok , vol.11 , pp. 399-408
    • Hegedüs, G.1
  • 27
    • 0001391363 scopus 로고
    • A characterization of the minimum mean-cycle in a digraph
    • R.M. Karp. A characterization of the minimum mean-cycle in a digraph. Discrete Maths., 23:309-311, 1978.
    • (1978) Discrete Maths , vol.23 , pp. 309-311
    • Karp, R.M.1
  • 28
    • 0028767809 scopus 로고
    • A complete system of identities for one letter rational expressions with multiplicities in the tropical semiring
    • D. Krob and A. Bonnier-Rigny. A complete system of identities for one letter rational expressions with multiplicities in the tropical semiring. J. Pure Appl. Algebra, 134:27-50, 1994.
    • (1994) J. Pure Appl. Algebra , vol.134 , pp. 27-50
    • Krob, D.1    Bonnier-Rigny, A.2
  • 29
    • 0026141447 scopus 로고
    • Limitedness theorem on finite automata with distance function: An algebraic proof
    • H. Leung. Limitedness theorem on finite automata with distance function: an algebraic proof. Theoret. Comput. Sci, 81:137-145, 1991.
    • (1991) Theoret. Comput. Sci , vol.81 , pp. 137-145
    • Leung, H.1
  • 36
    • 11644327555 scopus 로고
    • Inversion of matrices over a commutative semiring
    • June
    • C. Reutenauer and H. Straubing. Inversion of matrices over a commutative semiring. J. Algebra, 88(2):350-360, June 1984.
    • (1984) J. Algebra , vol.88 , Issue.2 , pp. 350-360
    • Reutenauer, C.1    Straubing, H.2
  • 37
    • 0011139937 scopus 로고
    • Optimization and stationary control of discrete deterministic process in dynamic programming
    • Engl, transl. in Cybernetics 3 (1967)
    • I.V. Romanovskiĭ. Optimization and stationary control of discrete deterministic process in dynamic programming. Kibernetika, 2:66-78, 1967. Engl, transl. in Cybernetics 3 (1967).
    • (1967) Kibernetika , vol.2 , pp. 66-78
    • Romanovskiĭ, I.V.1
  • 40
    • 0012467202 scopus 로고
    • On semigroups of matrices over the tropical semiring
    • I. Simon. On semigroups of matrices over the tropical semiring. Theor. Infor. and Appl., 28(3-4):277-294, 1994.
    • (1994) Theor. Infor. and Appl , vol.28 , Issue.3-4 , pp. 277-294
    • Simon, I.1
  • 42
    • 38149144688 scopus 로고
    • Moduloids and pseudomodules. 1. dimension theory
    • E. Wagneur. Moduloids and pseudomodules. 1. dimension theory. Discrete Math., 98:57-73, 1991.
    • (1991) Discrete Math , vol.98 , pp. 57-73
    • Wagneur, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.