메뉴 건너뛰기




Volumn 120, Issue 2, 2009, Pages 479-495

On the copositive representation of binary and continuous nonconvex quadratic programs

Author keywords

90C20; 90C26; Mathematics Subject Classification (2000): 90C25

Indexed keywords

90C20; 90C26; COMPLEMENTARITY CONSTRAINTS; COMPUTATIONAL ISSUES; CONIC PROGRAMS; CONTINUOUS VARIABLES; COPOSITIVE; LINEAR PROGRAMS; MATHEMATICS SUBJECT CLASSIFICATION (2000): 90C25; NONCONVEX QUADRATIC PROGRAMS; NP-HARD PROBLEMS;

EID: 67349282710     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-008-0223-z     Document Type: Article
Times cited : (331)

References (18)
  • 2
    • 31244435061 scopus 로고    scopus 로고
    • Solving standard quadratic optimization problems via linear, semidefinite and copositive programming
    • DOI 10.1023/A:1020209017701
    • I.M. Bomze E. de Klerk 2002 Solving standard quadratic optimization problems via linear, semidefinite and copositive programming J. Global Optim. 24 2 163 185 Dedicated to Professor Naum Z. Shor on his 65th birthday (Pubitemid 35168547)
    • (2002) Journal of Global Optimization , vol.24 , Issue.2
    • Bomze, I.M.1    De Klerk, E.2
  • 3
    • 0011565238 scopus 로고    scopus 로고
    • On copositive programming and standard quadratic optimization problems
    • GO'99 Firenze
    • I.M. Bomze M. Dür E. de Klerk C. Roos A.J. Quist T. Terlaky 2000 On copositive programming and standard quadratic optimization problems J. Global Optim. 18 301 320 GO'99 Firenze
    • (2000) J. Global Optim. , vol.18 , pp. 301-320
    • Bomze, I.M.1    Dür, M.2    De Klerk, E.3    Roos, C.4    Quist, A.J.5    Terlaky, T.6
  • 4
    • 3543090051 scopus 로고    scopus 로고
    • Maximum stable set formulations and heuristics based on continuous optimization
    • S. Burer R. Monteiro Y. Zhang 2002 Maximum stable set formulations and heuristics based on continuous optimization Math. Program. 94 137 166
    • (2002) Math. Program. , vol.94 , pp. 137-166
    • Burer, S.1    Monteiro, R.2    Zhang, Y.3
  • 5
    • 38749116247 scopus 로고    scopus 로고
    • A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations
    • S. Burer D. Vandenbussche 2008 A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations Math. Program. 113 259 282
    • (2008) Math. Program. , vol.113 , pp. 259-282
    • Burer, S.1    Vandenbussche, D.2
  • 6
    • 33646746975 scopus 로고    scopus 로고
    • A PTAS for the minimization of polynomials of fixed degree over the simplex
    • DOI 10.1016/j.tcs.2006.05.011, PII S0304397506003252
    • E. de Klerk M. Laurent P.A. Parrilo 2006 A PTAS for the minimization of polynomials of fixed degree over the simplex Theor. Comput. Sci. 361 2-3 210 225 (Pubitemid 44189105)
    • (2006) Theoretical Computer Science , vol.361 , Issue.2-3 , pp. 210-225
    • De Klerk, E.1    Laurent, M.2    Parrilo, P.A.3
  • 7
    • 0036433723 scopus 로고    scopus 로고
    • Approximation of the stability number of a graph via copositive programming
    • E. de Klerk D.V. Pasechnik 2002 Approximation of the stability number of a graph via copositive programming SIAM J. Optim. 12 4 875 892
    • (2002) SIAM J. Optim. , vol.12 , Issue.4 , pp. 875-892
    • De Klerk, E.1    Pasechnik, D.V.2
  • 9
    • 0015916802 scopus 로고
    • Nonconvex quadratic programs, linear complementarity problems, and integer Linear Programs
    • Fifth Conference on Optimization Techniques (Rome, 1973), Part Springer, Berlin
    • Giannessi, F., Tomasin, E.: Nonconvex quadratic programs, linear complementarity problems, and integer Linear Programs. In: Fifth Conference on Optimization Techniques (Rome, 1973), Part I. Lecture Notes in Compute Sciences, Vol. 3, pp. 437-449. Springer, Berlin (1973)
    • (1973) Lecture Notes in Compute Sciences , vol.3 , pp. 437-449
    • Giannessi, F.1    Tomasin, E.2
  • 10
    • 0018292109 scopus 로고
    • ON THE SHANNON CAPACITY OF A GRAPH.
    • L. Lovász 1979 On the Shannon Capacity of a graph IEEE Trans. Inf. Theory IT- 25 1 1 7 (Pubitemid 9413535)
    • (1979) IEEE Trans Inf Theory , vol.IT-25 , Issue.1 , pp. 1-7
    • Lovasz Laszlo1
  • 11
    • 0000230999 scopus 로고
    • Maxima for graphs and a new proof of a theorem of Turán
    • T.S. Motzkin E.G. Straus 1965 Maxima for graphs and a new proof of a theorem of Turán Can. J. Math. 17 4 533 540
    • (1965) Can. J. Math. , vol.17 , Issue.4 , pp. 533-540
    • Motzkin, T.S.1    Straus, E.G.2
  • 12
    • 0024718137 scopus 로고
    • Boolean quadric polytope: some characteristics, facets and relatives
    • M. Padberg 1989 The Boolean quadric polytope: some characteristics, facets and relatives Math. Program. 45 1, (Ser. B) 139 172 (Pubitemid 20597654)
    • (1989) Mathematical Programming, Series B , vol.45 , Issue.1 , pp. 139-172
    • Padberg Manfred1
  • 14
    • 39449110450 scopus 로고    scopus 로고
    • Computing the stability number of a graph via linear and semidefinite programming
    • J. Peña J. Vera L.F. Zuluaga 2007 Computing the stability number of a graph via linear and semidefinite programming SIAM J. Optim. 18 1 87 105
    • (2007) SIAM J. Optim. , vol.18 , Issue.1 , pp. 87-105
    • Peña, J.1    Vera, J.2    Zuluaga, L.F.3
  • 17
    • 39449117440 scopus 로고    scopus 로고
    • A copositive programming approach to graph partitioning
    • J. Povh F. Rendl 2007 A copositive programming approach to graph partitioning SIAM J. Optim. 18 1 223 241
    • (2007) SIAM J. Optim. , vol.18 , Issue.1 , pp. 223-241
    • Povh, J.1    Rendl, F.2
  • 18
    • 0038386380 scopus 로고    scopus 로고
    • On cones of nonnegative quadratic functions
    • J.F. Sturm S. Zhang 2003 On cones of nonnegative quadratic functions Math. Oper. Res. 28 2 246 267
    • (2003) Math. Oper. Res. , vol.28 , Issue.2 , pp. 246-267
    • Sturm, J.F.1    Zhang, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.