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Encyclopedia of Optimization pp 3692–3693Cite as

Standard Quadratic Optimization Problems: Theory

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References

  1. Bomze IM (1992) Copositivity conditions for global optimality in indefinite quadratic programming problems. Czechoslovak J Oper Res 1:7–19

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  2. Cohen J, Hickey T (1979) Two algorithms for determining volumes of convex polyhedra. J ACM 26:401–414

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  3. Danninger G (1990) A recursive algorithm to detect (strict) copositivity of a symmetric matrix. In: Rieder U, Gessner P, Peyerimhoff A, Radermacher FJ (eds) Operations Research, Proc 14th Symp (Ulm, FRG, 1989), Methods Oper Res., vol 62. Anton Hain Verlag, Bodenheim, pp 45–52

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  4. Hall M Jr, Newman M (1963) Copositive and completely positive quadratic forms. Proc Cambridge Philos Soc 59:329–339

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  5. Nesterov YE, Nemirovskii AS (1994) Interior point methods in convex programming: Theory and applications. SIAM, Philadelphia

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  6. Quist AJ, de Klerk E, Roos C, Terlaky T (1998) Copositive relaxation for general quadratic programming. Optim Methods Softw 9:185–209

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Author information

Authors and Affiliations

  1. University Vienna, Wien, Austria

    Immanuel M. Bomze

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  1. Immanuel M. Bomze
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Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Bomze, I.M. (2008). Standard Quadratic Optimization Problems: Theory . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_637

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