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Volumn 102, Issue 3, 2005, Pages 531-557

A polyhedral study of nonconvex quadratic programs with box constraints

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SET THEORY;

EID: 17444372087     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-004-0549-0     Document Type: Article
Times cited : (52)

References (15)
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  • 2
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    • Nonconvex quadratic programming via generalized polars
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    • (1975) SIAM J. Appl. Math. , vol.28 , pp. 335-349
    • Balas, E.1
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    • Solving large scale zero-one integer programming problems
    • Crowder, H., Johnson, E.L., Padberg, M.W.: Solving large scale zero-one integer programming problems. Oper. Res. 31, 803-834 (1983)
    • (1983) Oper. Res. , vol.31 , pp. 803-834
    • Crowder, H.1    Johnson, E.L.2    Padberg, M.W.3
  • 4
    • 0346111799 scopus 로고    scopus 로고
    • A barrier function method for the nonconvex quadratic programming problem with box constraints
    • Dang, C., Xu, L.: A barrier function method for the nonconvex quadratic programming problem with box constraints. J. Glob. Optim. 18, 165-188 (2000)
    • (2000) J. Glob. Optim. , vol.18 , pp. 165-188
    • Dang, C.1    Xu, L.2
  • 5
    • 0347390883 scopus 로고    scopus 로고
    • Quadratic programming with box constraints
    • I.M. Bomze, T. Csendes, R. Horst, P. Pardalos (eds.) Kluwer Academic Publishers
    • De Angelis, P., Pardalos, P., Toraldo, G.: Quadratic programming with box constraints. In: I.M. Bomze, T. Csendes, R. Horst, P. Pardalos (eds.), Developments in Global Optimization, Kluwer Academic Publishers, 1997, pp. 73-94
    • (1997) Developments in Global Optimization , pp. 73-94
    • De Angelis, P.1    Pardalos, P.2    Toraldo, G.3
  • 6
    • 0036474570 scopus 로고    scopus 로고
    • Nemhauser. Facets of the complementarity knapsack polytope
    • de Farias, Jr., I.R., Johnson, G.L.: Nemhauser. Facets of the complementarity knapsack polytope. Math. Oper. Res. 27, 210-226 (2002)
    • (2002) Math. Oper. Res. , vol.27 , pp. 210-226
    • De Farias Jr., I.R.1    Johnson, G.L.2
  • 7
    • 14944345436 scopus 로고    scopus 로고
    • A polyhedral study of the cardinality constrained knapsack polytope
    • de Farias, Jr., I.R., Nemhauser, G.L.: A polyhedral study of the cardinality constrained knapsack polytope. Math. Prog. 96, 439-467 (2003)
    • (2003) Math. Prog. , vol.96 , pp. 439-467
    • De Farias Jr., I.R.1    Nemhauser, G.L.2
  • 8
    • 0024000138 scopus 로고
    • A note on a quadratic formulation for linear complementarity problems
    • Gupta, S., Pardalos, P.M.: A note on a quadratic formulation for linear complementarity problems. J. Optim. Theory Appl. 57, 197-202 (1988)
    • (1988) J. Optim. Theory Appl. , vol.57 , pp. 197-202
    • Gupta, S.1    Pardalos, P.M.2
  • 9
    • 84989738115 scopus 로고
    • Global minimization of indefinite quadratic functions subject to box constraints
    • Hansen, P., Jaumard, B., Ruiz, M., Xiong, J.: Global minimization of indefinite quadratic functions subject to box constraints. Nav. Res. Logist. 40, 373-392 (1993)
    • (1993) Nav. Res. Logist. , vol.40 , pp. 373-392
    • Hansen, P.1    Jaumard, B.2    Ruiz, M.3    Xiong, J.4
  • 10
    • 0024718137 scopus 로고
    • The Boolean quadric polytope: Some characteristics, facets and relatives
    • Padberg, M.: The Boolean quadric polytope: some characteristics, facets and relatives. Math. Program. 45, 139-172 (1989)
    • (1989) Math. Program. , vol.45 , pp. 139-172
    • Padberg, M.1
  • 13
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    • A branch-and-cut algorithm for nonconvex quadratic programs with box constraints
    • Technical Report TLI-03-05, Georgia Institute of Technology, 2003. To appear in
    • Vandenbussche, D., Nemhauser, G.L.: A branch-and-cut algorithm for nonconvex quadratic programs with box constraints. Technical Report TLI-03-05, Georgia Institute of Technology, 2003. To appear in Math. Prog. 102, 559-575 (2005)
    • (2005) Math. Prog. , vol.102 , pp. 559-575
    • Vandenbussche, D.1    Nemhauser, G.L.2
  • 14
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  • 15
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    • A polyhedral approach for nonconvex quadratic programming problems with box constraints
    • Yajima, Y., Fujie, T.: A polyhedral approach for nonconvex quadratic programming problems with box constraints. J. Glob. Optim. 13, 151-170 (1998)
    • (1998) J. Glob. Optim. , vol.13 , pp. 151-170
    • Yajima, Y.1    Fujie, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.