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Volumn 30, Issue 1, 1996, Pages 31-49

On globally solving linearly constrained indefinite quadratic minimization problems by decomposition branch and bound method

Author keywords

Branch and bound; Decomposition; Global minimization; Indefinite quadratic programming

Indexed keywords

ALGORITHMS; DECOMPOSITION; MATHEMATICAL PROGRAMMING;

EID: 0030371244     PISSN: 03990559     EISSN: None     Source Type: Journal    
DOI: 10.1051/ro/1996300100311     Document Type: Article
Times cited : (14)

References (27)
  • 2
    • 5544246896 scopus 로고    scopus 로고
    • Numerical solution for Optimization over the Efficient set by d.c. optimization algorithm
    • LE T. H. AN, PHAM D. TAO and L. D. MUU, Numerical solution for Optimization over the Efficient set by d.c. optimization algorithm, To appear in Operations Research Letters.
    • Operations Research Letters
    • Le An, T.H.1    Tao, P.D.2    Muu, L.D.3
  • 3
    • 0001423319 scopus 로고
    • An algorithm for separable non convex programming problems
    • J. E. FALK and R. M. SOLAND, An algorithm for separable non convex programming problems, Management Science, 1969, 15, pp. 550-569.
    • (1969) Management Science , vol.15 , pp. 550-569
    • Falk, J.E.1    Soland, R.M.2
  • 5
    • 0009592227 scopus 로고
    • A collection of test problems for constrained global optimization algorithms
    • G. GOOS and J. HARTMANIS, editors, Springer-Verlag
    • C. A. FLOUDAS and P. M. PARDALOS, A collection of test problems for constrained global optimization algorithms, In G. GOOS and J. HARTMANIS, editors, Lecture notes in Computer Science, 445, Springer-Verlag, 1987.
    • (1987) Lecture Notes in Computer Science , vol.445
    • Floudas, C.A.1    Pardalos, P.M.2
  • 7
    • 0009025591 scopus 로고
    • On solving a d.c. programming problem by a sequence of linear programs
    • R. HORST, T. Q. PHONG, N. V. THOAI and J. de VRIES, On solving a d.c. programming problem by a sequence of linear programs, J. of Global Optimization, 1991, 1, pp. 183-203.
    • (1991) J. of Global Optimization , vol.1 , pp. 183-203
    • Horst, R.1    Phong, T.Q.2    Thoai, N.V.3    De Vries, J.4
  • 9
    • 0141868669 scopus 로고
    • Algorithm for global minimization of linearly constrained concave quadratic functions
    • B. KALANTARI and J. B. ROSEN, Algorithm for global minimization of linearly constrained concave quadratic functions, Mathematics of Operations Research, 1987, 12, pp. 544-561.
    • (1987) Mathematics of Operations Research , vol.12 , pp. 544-561
    • Kalantari, B.1    Rosen, J.B.2
  • 11
    • 5544279455 scopus 로고
    • Decomposition methods for solving a class of nonconvex programming problems dealing with bilinear and quadratic functions
    • L. D. MUU, T. Q. PHONG and PHAM DINH TAO, Decomposition methods for solving a class of nonconvex programming problems dealing with bilinear and quadratic functions, Computational Optimization and Application, 1995, 4, pp. 203-216.
    • (1995) Computational Optimization and Application , vol.4 , pp. 203-216
    • Muu, L.D.1    Phong, T.Q.2    Tao, P.D.3
  • 12
    • 0023541769 scopus 로고
    • Global optimization of indefinite quadratic problems
    • P. M. PARDALOS, J. H. GUCK and J. B. ROSEN, Global optimization of indefinite quadratic problems, Computing, 1987, 39, pp. 281-291.
    • (1987) Computing , vol.39 , pp. 281-291
    • Pardalos, P.M.1    Guck, J.H.2    Rosen, J.B.3
  • 13
    • 1842751422 scopus 로고
    • A parallel algorithm for constrained concave quadratic global minimization
    • A. T. PHILLIPS and J. B. ROSEN, A parallel algorithm for constrained concave quadratic global minimization, Mathematical Programming, 1988, 42, pp. 412-448.
    • (1988) Mathematical Programming , vol.42 , pp. 412-448
    • Phillips, A.T.1    Rosen, J.B.2
  • 14
    • 0344484041 scopus 로고
    • A parallel algorithm for partially separable non-convex global minimization: Linear constraints
    • A. T. PHILLIPS and J. B. ROSEN, A parallel algorithm for partially separable non-convex global minimization: linear constraints, Annals of Operations Research, 1990, 25, pp. 101-118.
    • (1990) Annals of Operations Research , vol.25 , pp. 101-118
    • Phillips, A.T.1    Rosen, J.B.2
  • 16
    • 0020750349 scopus 로고
    • Minimization of linearly constrained concave function by partition of feasible domain
    • J. B. ROSEN, Minimization of linearly constrained concave function by partition of feasible domain, Math. Operations Research, 1983, 8, pp. 215-230.
    • (1983) Math. Operations Research , vol.8 , pp. 215-230
    • Rosen, J.B.1
  • 17
    • 0022677990 scopus 로고
    • Global minimization of large scale constrained quadratic problems by separable programming
    • J. B. ROSEN and P. M. PARDALOS, Global minimization of large scale constrained quadratic problems by separable programming, Mathematical Programming, 1986, 34(2), pp. 163-174.
    • (1986) Mathematical Programming , vol.34 , Issue.2 , pp. 163-174
    • Rosen, J.B.1    Pardalos, P.M.2
  • 19
    • 0001861849 scopus 로고
    • Convergence of subgradient method for computing the bound norm of matrices
    • PHAM D. TAO, Convergence of subgradient method for computing the bound norm of matrices, Linear Alg. and its Appl., 1984, 62, pp. 163-182.
    • (1984) Linear Alg. and Its Appl. , vol.62 , pp. 163-182
    • Tao, P.D.1
  • 20
    • 0012061803 scopus 로고
    • Algorithmes de calcul du maximum d'une forme quadratique sur la boule unité de la norme du maximum
    • PHAM D. TAO, Algorithmes de calcul du maximum d'une forme quadratique sur la boule unité de la norme du maximum, Numerische Mathematik, 1985, 45, pp. 377-440.
    • (1985) Numerische Mathematik , vol.45 , pp. 377-440
    • Tao, P.D.1
  • 21
    • 0142145419 scopus 로고
    • Algorithms for solving a class of nonconvex optimization problems, subgradient methods
    • Elsevier Science Publishers B. V. North-Holland
    • PHAM D. TAO, Algorithms for solving a class of nonconvex optimization problems, subgradient methods, Fermat days 85. Mathematics for Optimization, Elsevier Science Publishers B. V. North-Holland, 1986.
    • (1986) Fermat Days 85. Mathematics for Optimization
    • Tao, P.D.1
  • 24
    • 5544231660 scopus 로고    scopus 로고
    • D. C. (difference of convex functions) optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on euclidean balls and spheres
    • PHAM D. TAO and LE T. H. AN, D. C. (difference of convex functions) optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on euclidean balls and spheres, To appear in Operations Research Letters.
    • Operations Research Letters.
    • Tao, P.D.1    Le An, T.H.2
  • 25
    • 0020702691 scopus 로고
    • Global minimization of a difference of two convex functions
    • H. TUY, Global minimization of a difference of two convex functions, Mathematical Programming Study, 1987, 30, pp. 150-182.
    • (1987) Mathematical Programming Study , vol.30 , pp. 150-182
    • Tuy, H.1
  • 26
    • 0007469218 scopus 로고
    • The complementary convex structure in global optimization
    • H. TUY, The complementary convex structure in global optimization, J. of Global Optimization, 1992, 2, pp. 21-40.
    • (1992) J. of Global Optimization , vol.2 , pp. 21-40
    • Tuy, H.1
  • 27
    • 0346024729 scopus 로고
    • Approximation algorithms for indefinite quadratic programming
    • S. A. VAVASIS, Approximation algorithms for indefinite quadratic programming, Mathematical Programming, 1992, 57, pp. 279-311.
    • (1992) Mathematical Programming , vol.57 , pp. 279-311
    • Vavasis, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.