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Volumn 93, Issue 2, 1997, Pages 301-319

Minimum distance to the complement of a convex set: Duality result

Author keywords

Banach spaces; Convex sets; Duality theory; Linear programming; Polyhedral convex sets; Separation theorem; Weak topology

Indexed keywords

BANACH SPACES; CONVEX OPTIMIZATION; GEOMETRY; SET THEORY; TOPOLOGY;

EID: 0040055951     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022697822407     Document Type: Article
Times cited : (36)

References (9)
  • 3
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • ROCKAFELIAR, R. T., Convex Analysis. Princeton University Press, Princeton, New Jersey, pp. 349-387, 1970.
    • (1970) Convex Analysis , pp. 349-387
    • Rockafeliar, R.T.1
  • 5
    • 0002191897 scopus 로고
    • Definiteness and semidefiniteness of quadratic forms revisited: Necessary and sufficient conditions for global optimality
    • Edited by F. Giannessi et al., Plenum Press
    • HIRIART-HURRUTY, J. B., Definiteness and Semidefiniteness of Quadratic Forms Revisited: Necessary and Sufficient Conditions for Global Optimality, Nonsmooth Optimization and Related Topics, Edited by F. Giannessi et al., Plenum Press, 219-239, 1989.
    • (1989) Nonsmooth Optimization and Related Topics , pp. 219-239
    • Hiriart-Hurruty, J.B.1
  • 7
    • 0003488911 scopus 로고
    • Addison-Wesley Publishing Company, Reading, Massachusetts
    • LUENBERGER, D. G., Linear and Nonlinear Programming, Addison-Wesley Publishing Company, Reading, Massachusetts, pp. 301-364, 1984.
    • (1984) Linear and Nonlinear Programming , pp. 301-364
    • Luenberger, D.G.1
  • 8
    • 0023452095 scopus 로고
    • Some NP-complete problems in quadratic and linear programming
    • MURTY, K. G., and KABADY, S. N., Some NP-Complete Problems in Quadratic and Linear Programming, Mathematical Programming, Vol. 39, pp. 117-129, 1987.
    • (1987) Mathematical Programming , vol.39 , pp. 117-129
    • Murty, K.G.1    Kabady, S.N.2
  • 9
    • 0026970916 scopus 로고
    • Role of copositivity in optimality criteria for nonconvex optimization problems
    • DANNINGER, G., Role of Copositivity in Optimality Criteria for Nonconvex Optimization Problems, Journal of Optimization Theory and Applications, Vol. 75, pp. 535-558, 1992.
    • (1992) Journal of Optimization Theory and Applications , vol.75 , pp. 535-558
    • Danninger, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.