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Second Order Optimality Conditions for Nonlinear Optimization

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Encyclopedia of Optimization

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Keywords

Optimality Conditions for the Unconstrained Minimization Problem (1)

Optimality Conditions for the Equality Constrained Minimization Problem (2)

Optimality Conditions for the General Constrained Optimization Problem (3)

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References

  1. Bazaraa MS, Sherali HD, Shetty CM (1993) Nonlinear programming theory and algorithms, 2nd edn. Wiley, New York

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  2. Fiacco AV, McCormick GP (1968) Nonlinear programming: sequential unconstrained minimization techniques. Wiley, New York

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  3. Murty KG (1988) Linear complementarity, linear and nonlinear programming. Heldermann, Berlin

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  4. Murty KG, Kabadi SN (1987) Some NP-complete problems in quadratic and nonlinear programming. Math Program 39:117–129

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  5. Prékopa A (1980) On the development of optimization theory. Amer Math Monthly 87:527–542

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Author information

Authors and Affiliations

  1. Department IOE, University Michigan, Ann Arbor, USA

    Katta G. Murty

Authors
  1. Katta G. Murty
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Editor information

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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Murty, K.G. (2008). Second Order Optimality Conditions for Nonlinear Optimization . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_576

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