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Volumn 5, Issue 1, 2011, Pages 191-194

A short proof on the cardinality of maximal positive bases

Author keywords

Basic feasible solutions; Direct search; Positive basis

Indexed keywords

LINEAR PROGRAMMING;

EID: 78650731003     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-010-0229-3     Document Type: Article
Times cited : (12)

References (8)
  • 1
    • 33750265086 scopus 로고    scopus 로고
    • Mesh adaptive direct search algorithms for constrained optimization
    • Audet C., Dennis J. E. Jr.: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17(1), 188-217 (2006).
    • (2006) SIAM J. Optim. , vol.17 , Issue.1 , pp. 188-217
    • Audet, C.1    Dennis Jr., J.E.2
  • 3
    • 0036472264 scopus 로고    scopus 로고
    • Positive bases in numerical optimization
    • Coope I. D., Price C. J.: Positive bases in numerical optimization. Comput. Optim. Appl. 21(2), 169-175 (2002).
    • (2002) Comput. Optim. Appl. , vol.21 , Issue.2 , pp. 169-175
    • Coope, I.D.1    Price, C.J.2
  • 4
    • 0001605378 scopus 로고
    • Theory of positive linear dependence
    • Davis C.: Theory of positive linear dependence. Am. J. Math. 76, 733-746 (1954).
    • (1954) Am. J. Math. , vol.76 , pp. 733-746
    • Davis, C.1
  • 5
    • 0002670267 scopus 로고
    • Neighboring vertices on a convex polyhedron
    • H. WKuhn and A. W. Tucker (Eds.), Princeton: Princeton University Press
    • Gale D.: Neighboring vertices on a convex polyhedron. In: Kuhn, H. W, Tucker, A. W. (eds) Linear inequalities and related systems. Annals of Mathematics Studies, vol. 38, pp. 255-263. Princeton University Press, Princeton (1956).
    • (1956) Linear Inequalities and Related Systems. Annals of Mathematics Studies , vol.38 , pp. 255-263
    • Gale, D.1
  • 6
    • 0035373689 scopus 로고    scopus 로고
    • New algorithm for the conical combination representation problem of a vector
    • Huang H. X., Pardalos P. M.: New algorithm for the conical combination representation problem of a vector. J. Optim. Theory Appl. 109(3), 495-519 (2001).
    • (2001) J. Optim. Theory Appl. , vol.109 , Issue.3 , pp. 495-519
    • Huang, H.X.1    Pardalos, P.M.2
  • 7
    • 0003686336 scopus 로고    scopus 로고
    • Rank ordering and positive bases in pattern search algorithms
    • Technical Report TR96-71, ICASE, NASA Langley Research Center
    • Lewis R. M., Torczon V.: Rank ordering and positive bases in pattern search algorithms. Technical Report TR96-71, ICASE, NASA Langley Research Center (1999).
    • (1999)
    • Lewis, R.M.1    Torczon, V.2
  • 8
    • 0040767483 scopus 로고
    • Diagrams for positive bases
    • Shephard G. C.: Diagrams for positive bases. J. Lond. Math. Soc. s2-4(1), 165-175 (1971).
    • (1971) J. Lond. Math. Soc. , vol.s2-4 , Issue.1 , pp. 165-175
    • Shephard, G.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.