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Benacer, R. and Tao, P.T. Global maximization of a nondefinite quadratic function over a convex polyhedron. FERMAT Days 1985, Mathematics for Optimization (J.-B. Hirriart-Urruty, editor), Elsevier Sci. Publ., 65–77.
Brayton, R.K., Hachtel, G.D., and Sangiovanni-Vincentelli, A.L. A survey of Optimization Techniques for Integrated-Circuit Design. Proceedings of the IEEE, Vol. 69, No. 10 (1981), 1334–1362.
Ciesielski, M.J. and Kinnen, E. An Analytic Method for Compacting Routing Area in Integrated Circuits. Proceedings of the 19th Design Automation Conference, Las Vegas, NV. (1982), 30–37.
Cirina, M. A class of nonlinear programming test problems. Working paper, Dipart. di Informatica, Torino (1985).
Cirina, M. A finite algorithm for global quadratic minimization. Working paper, Dipart. di Informatica, Torino (1986).
Crowder, H., Johnson, E.L. and Padberg, M.W. Solving large-scale zero-one linear programming problems. Oper. Res. Vol. 31, No. 5 (1982), 803–834.
Geoffrion, A. Generalized Bender's Decompositions. J. Optimiz. Theory Appl. 10 (1972), 237–260.
Kalantari, B. Large scale concave quadratic minimization and extensions. PhD thesis, Computer Sci. Dept., University of Minnesota 1984.
Kedem, G. and Watanabe, H. Optimization Techniques for IC Layout and Compaction. Proceedings IEEE Intern. Conf. in Computer Design: VLSI in Computers (1983), 709–713.
Kough, P.F. The Indefinite Quadratic Programming Problem. Oper. Res. Vol. 27, No.3 (1979), 516–533.
Maling, K., Mueller, S.H., and Heller, W.R. On finding most optimal rectangular package plans. Proceedings of the 19th Design Automation Conference, Las Vegas, NV. (1982), 663–670.
Mueller, R.K. A method for solving the indefinite quadratic programming problem. Manag. Science Vo. 16, No. 5 (1979), 333–339.
Meyer, R.R. Computational Aspects of Two-segment Separable Programming. Math. Progr. 26 (1983), 21–32.
Murtagh, B.A., and Saunders, M.A. MINOS 5.0 User's Guide. Tech. Rep. SOL 83-20 (1983), Dept. of Oper. Res., Stanford Univ.
Pardalos, P.M. and Rosen, J.B. Methods for global concave minimization: A bibliographic survey. SIAM Review 28 (1986), 367–379.
Pardalos, P.M. and Rosen, J.B. Global Optimization Approach to the Linear Complementarity Problem. Tech. Report 84-37 (revised Aug. 1985) Computer Sci. Dept. Univ. of Minnesota.
Pardalos, P.M. Integer and separable programming techniques for large scale global optimization problems. PhD thesis, Computer Sc. Dept., University of Minnesota (1985).
Rosen, J.B. and Pardalos, P.M. Global minimization of large-scale constrained concave quadratic problems by separable programming. Math. Progr. 34 (1986), 163–174.
Soukup, J. Circuit Layout. Proceedings of the IEEE. Vol. 69, No. 10 (1984), 1281–1304.
Thakur, L.S. Error Analysis for Convex Separable Programs: The Piecewise Linear Approximation and the Bounds on the Optimal Objective Value. SIAM J. Appl. Math Vol. 34, No. 4 (1978), 704–714.
Thoai, N.V. and Tuy, H. Solving the Linear Complementarity Problem through Concave Programming. Zh. Vychisl. Mat. i. Mat. Fiz. 23(3) (1983), 602–608.
Tuy, H. Global Minimization of the Difference of two Convex functions. In: Selected Topics in Operations Research and Mathematical Economics. Lecture Notes Econ. Math. Syst. 226 (1984), 98–118.
Watanabe, H. IC Layout Generation and Compaction Using Mathematical Optimization. Ph.D thesis Comp. Sc. Dept. Rochester Univ. (1984).
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© 1987 Springer-Verlag
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(1987). Global minimization of indefinite quadratic problems. In: Pardalos, P.M., Rosen, J.B. (eds) Constrained Global Optimization: Algorithms and Applications. Lecture Notes in Computer Science, vol 268. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0000044
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