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Volumn 18, Issue 2, 2000, Pages 165-188

A Barrier Function Method for the Nonconvex Quadratic Programming Problem with Box Constraints

Author keywords

Barrier Function; Box Constraints; Descent Direction; Global Optimization; Iterative Method; Nonconvex Quadratic Programming

Indexed keywords


EID: 0346111799     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008397325409     Document Type: Article
Times cited : (8)

References (24)
  • 1
    • 0024681911 scopus 로고
    • Experiments in quadratic 0-1 programming
    • Barahona, F., Junger M., and Reinelt G., (1989). Experiments in quadratic 0-1 programming, Math. Program. 44: 127-137.
    • (1989) Math. Program , vol.44 , pp. 127-137
    • Barahona, F.1    Junger, M.2    Reinelt, G.3
  • 2
    • 0025521978 scopus 로고
    • An exact algorithm for the maximum clique problem
    • Carraghan R. and Pardalos, P.M. (1990). An exact algorithm for the maximum clique problem, Oper. Res. Lett. 9: 375-382.
    • (1990) Oper. Res. Lett. , vol.9 , pp. 375-382
    • Carraghan, R.1    Pardalos, P.M.2
  • 3
    • 0021133826 scopus 로고
    • The indefinite zero-one quadratic problem
    • Carter, M.W., (1984). The indefinite zero-one quadratic problem, Discrete Appl. Math. 7, 23-44.
    • (1984) Discrete Appl. Math. , vol.7 , pp. 23-44
    • Carter, M.W.1
  • 4
    • 0347390883 scopus 로고    scopus 로고
    • Quadratic programming with box constraints
    • I.M. Bomze, T. Csendes, R. Horst, P.M. Pardalos (eds.), Kluwer Academic Publishers
    • De Angelis, P.L., Pardalos, P.M. and Toraldo G., (1997). Quadratic programming with box constraints, in I.M. Bomze, T. Csendes, R. Horst, P.M. Pardalos (eds.), Developments in Global Optimization, Kluwer Academic Publishers, 73-93.
    • (1997) Developments in Global Optimization , pp. 73-93
    • De Angelis, P.L.1    Pardalos, P.M.2    Toraldo, G.3
  • 5
    • 0023657610 scopus 로고
    • An analog approach to the traveling salesman problem using an elastic net method
    • Durbin, R. and Willshaw, D. (1987). An analog approach to the traveling salesman problem using an elastic net method, Nature 326: 689-691.
    • (1987) Nature , vol.326 , pp. 689-691
    • Durbin, R.1    Willshaw, D.2
  • 7
    • 0002854108 scopus 로고
    • Quadratic optimization
    • R. Horst and P.M. Pardalos (eds.), Kluwer Academic Publishers
    • Floudas, C.A. and Visweswaran, V. (1995). Quadratic optimization, in R. Horst and P.M. Pardalos (eds.), Handbook of Global Optimization, Kluwer Academic Publishers, 217-269.
    • (1995) Handbook of Global Optimization , pp. 217-269
    • Floudas, C.A.1    Visweswaran, V.2
  • 8
    • 84948343716 scopus 로고
    • A differentiable exact penalty function for bound constrained quadratic programming problems
    • Grippo, L. and Lucidi, S. (1991). A differentiable exact penalty function for bound constrained quadratic programming problems, Optimization 22: 557-578.
    • (1991) Optimization , vol.22 , pp. 557-578
    • Grippo, L.1    Lucidi, S.2
  • 9
    • 0021201689 scopus 로고
    • Unconstrained quadratic bivalent programming problems
    • Gulati, V.P., Gupta, S.K. and Mital, A.K., (1984). Unconstrained quadratic bivalent programming problems, European J. of Op. Res. 15: 121-125.
    • (1984) European J. of Op. Res. , vol.15 , pp. 121-125
    • Gulati, V.P.1    Gupta, S.K.2    Mital, A.K.3
  • 10
    • 0347598000 scopus 로고
    • Order relations of variables in 0-1 programming
    • Hammer, P.L. and Simeone, B. (1987). Order relations of variables in 0-1 programming, Ann. Discrete Maths 31: 83-112.
    • (1987) Ann. Discrete Maths , vol.31 , pp. 83-112
    • Hammer, P.L.1    Simeone, B.2
  • 11
    • 77957783608 scopus 로고
    • Methods of nonlinear zero-one programming
    • Hansen, P. (1979). Methods of nonlinear zero-one programming, Annals of Discrete Maths 5: 53-70.
    • (1979) Annals of Discrete Maths , vol.5 , pp. 53-70
    • Hansen, P.1
  • 12
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • Hopfield, J.J. (1984). Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Nat. Acad. Sci U.S.A. 81: 3088-3092.
    • (1984) Proc. Nat. Acad. Sci U.S.A. , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 14
    • 0023452095 scopus 로고
    • Some NP-complete problems in quadratic and nonlinear programming
    • Murty, K.G. and Kabadi, S.N., (1987). Some NP-complete problems in quadratic and nonlinear programming, Math. Prog. 39: 117-129.
    • (1987) Math. Prog. , vol.39 , pp. 117-129
    • Murty, K.G.1    Kabadi, S.N.2
  • 15
    • 0026115796 scopus 로고
    • Construction of test problems in quadratic bivalent programming
    • Pardalos, P.M. (1991). Construction of test problems in quadratic bivalent programming, ACM Transact Math Software 17: 74-87.
    • (1991) ACM Transact Math Software , vol.17 , pp. 74-87
    • Pardalos, P.M.1
  • 16
    • 38249013747 scopus 로고
    • Complexity of uniqueness and local search in quadratic 0-1 programming
    • Pardalos, P.M. and Jha, S., (1992). Complexity of uniqueness and local search in quadratic 0-1 programming, Oper. Res. Lett. 11: 119-123.
    • (1992) Oper. Res. Lett. , vol.11 , pp. 119-123
    • Pardalos, P.M.1    Jha, S.2
  • 17
    • 0025673487 scopus 로고
    • Computational aspects of a branch and bound algorithm for quadratic zero-one programming
    • Pardalos, P.M. and Rodgers, G.P., (1990). Computational aspects of a branch and bound algorithm for quadratic zero-one programming, Computing 45: 131-144.
    • (1990) Computing , vol.45 , pp. 131-144
    • Pardalos, P.M.1    Rodgers, G.P.2
  • 18
    • 0026897860 scopus 로고
    • A branch and bound algorithm for the maximum clique problem
    • Pardalos, P.M. and Rodgers, G.P., (1992). A branch and bound algorithm for the maximum clique problem, Comput. Oper. Res. 19: 363-375.
    • (1992) Comput. Oper. Res. , vol.19 , pp. 363-375
    • Pardalos, P.M.1    Rodgers, G.P.2
  • 19
    • 0003210539 scopus 로고
    • Constrained Global Optimization: Algorithms and Applications
    • Springer
    • Pardalos, P.M. and Rosen, J.B., (1987). Constrained Global Optimization: Algorithms and Applications, Lecture Notes in Computer Sciences 268, Springer.
    • (1987) Lecture Notes in Computer Sciences , vol.268
    • Pardalos, P.M.1    Rosen, J.B.2
  • 20
    • 0000511953 scopus 로고
    • Parallel distributed approaches to combinatorial optimization problems -benchmark studies on T.S.P
    • Peterson, C. (1990). Parallel distributed approaches to combinatorial optimization problems -benchmark studies on T.S.P., Neural Computation 2: 261-270.
    • (1990) Neural Computation , vol.2 , pp. 261-270
    • Peterson, C.1
  • 21
    • 0007166769 scopus 로고
    • Convex relaxations of (0,1)-quadratic programming
    • Poljak, S. and Wolkowicz, H., (1995). Convex relaxations of (0,1)-quadratic programming, Maths of Oper. Res. 20: 550-561.
    • (1995) Maths of Oper. Res. , vol.20 , pp. 550-561
    • Poljak, S.1    Wolkowicz, H.2
  • 22
    • 0345581481 scopus 로고
    • On approximation algorithms for concave quadratic programming
    • C.A. Floudas and P.M. Pardalos (eds.), Princeton University Press
    • Vavasis, S.A., (1991). On approximation algorithms for concave quadratic programming, in C.A. Floudas and P.M. Pardalos (eds.), Recent Advances in Global Optimization, Princeton University Press, 1992, 3-18.
    • (1991) Recent Advances in Global Optimization , pp. 3-18
    • Vavasis, S.A.1
  • 23
    • 34249839449 scopus 로고
    • On affine scaling algorithms for nonconvex quadratic programming
    • Ye, Y., (1992). On affine scaling algorithms for nonconvex quadratic programming, Math Program. 56: 285-300.
    • (1992) Math Program , vol.56 , pp. 285-300
    • Ye, Y.1
  • 24
    • 0000629349 scopus 로고
    • Statistical physics algorithms that converges
    • Yuille, A.L. and Kosowsky, J.J. (1994). Statistical physics algorithms that converges, Neural Computation 6: 341-356.
    • (1994) Neural Computation , vol.6 , pp. 341-356
    • Yuille, A.L.1    Kosowsky, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.