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Volumn 10, Issue 6, 1999, Pages 763-781

Lipschitz programming via increasing convex-along-rays functions

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

EID: 0033316870     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: 10.1080/10556789908805740     Document Type: Article
Times cited : (27)

References (25)
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    • Abasov, T.M.1    Rubinov, A.M.2
  • 2
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    • Subdifferentials of some classes of non-smooth functions
    • V. F. Demyanov (ed), S.-Petersburg University Press
    • Abasov, T. M. and Rubinov, A. M. (1995). Subdifferentials of some classes of non-smooth functions, in Mathematics topics in Nonsmooth Modelling, V. F. Demyanov (ed), S.-Petersburg University Press, 8-18.
    • (1995) Mathematics Topics in Nonsmooth Modelling , pp. 8-18
    • Abasov, T.M.1    Rubinov, A.M.2
  • 6
    • 0000264010 scopus 로고
    • A method for finding multiple extrema of a function of n variables
    • Lootsma, F. A. (ed.), Academic Press, London
    • Branin, F. H. and Hoo, S. K. (1972). A method for finding multiple extrema of a function of n variables, in: Lootsma, F. A. (ed.), Numerical Methods of Nonlinear Optimization, Academic Press, London, 231-237.
    • (1972) Numerical Methods of Nonlinear Optimization , pp. 231-237
    • Branin, F.H.1    Hoo, S.K.2
  • 7
    • 0342986515 scopus 로고    scopus 로고
    • An algorithm for maximizing a convex function over a simple set
    • Ehnbat, R. (1996). An algorithm for maximizing a convex function over a simple set, Journal of Global Optimization, 8, 379-391.
    • (1996) Journal of Global Optimization , vol.8 , pp. 379-391
    • Ehnbat, R.1
  • 9
    • 0007469744 scopus 로고
    • A Collection of Test Problems for Constrained Global Optimization Algorithms
    • Springer-Verlag, Berlin
    • Floudas, C. A. and Pardalos, P. (1990). A Collection of Test Problems for Constrained Global Optimization Algorithms, Lecture Notes in Computer Science, Springer-Verlag, Berlin, 455.
    • (1990) Lecture Notes in Computer Science , pp. 455
    • Floudas, C.A.1    Pardalos, P.2
  • 12
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • Karmarkar, N. (1984). A new polynomial-time algorithm for linear programming, Combinatorica, 4, 375-395.
    • (1984) Combinatorica , vol.4 , pp. 375-395
    • Karmarkar, N.1
  • 13
    • 0001547779 scopus 로고
    • The cutting plane method for solving convex programs
    • Kelley, J. (1960). The cutting plane method for solving convex programs, SIAM Journal, 8(4), 703-712.
    • (1960) SIAM Journal , vol.8 , Issue.4 , pp. 703-712
    • Kelley, J.1
  • 15
    • 0022674441 scopus 로고
    • An algorithm for finding the global maximum of a multimodal, multivariate function
    • Mladineo, R. H. (1986). An algorithm for finding the global maximum of a multimodal, multivariate function, Mathematical Programming, 34, 188-200.
    • (1986) Mathematical Programming , vol.34 , pp. 188-200
    • Mladineo, R.H.1
  • 17
    • 0003158358 scopus 로고
    • An algorithm for finding the absolute extremum of a function
    • Pijavski, S. A. (1972). An algorithm for finding the absolute extremum of a function, USSR Comput. Math. and Math. Phys., 2, 57-67.
    • (1972) USSR Comput. Math. and Math. Phys. , vol.2 , pp. 57-67
    • Pijavski, S.A.1
  • 20
    • 0041511349 scopus 로고
    • Characterizations of optimality for homogeneous programming problems with applications
    • D.-Z. Du, L. Qi and R. S. Womersley eds.
    • Rubinov, A. M. and Glover, B. M. (1995). Characterizations of optimality for homogeneous programming problems with applications, Recent Advances in Nonsmooth Optimization, D.-Z. Du, L. Qi and R. S. Womersley eds., 351-380.
    • (1995) Recent Advances in Nonsmooth Optimization , pp. 351-380
    • Rubinov, A.M.1    Glover, B.M.2
  • 21
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    • Increasing convex along rays functions with applications to global optimization
    • accepted to
    • Rubinov, A. M. and Glover, B. M. (1996). Increasing convex along rays functions with applications to global optimization, (accepted to Journal of Optimization Theory and Applications).
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    • The bisection method in higher dimensions
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  • 25


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