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Quasidifferentiable Optimization: Algorithms for QD Functions

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Encyclopedia of Optimization

Article Outline

Keywords

Codifferentiable (c.d.) Functions

(MCD)

Method of Hypodifferential Descent (MHD)

Difference of Convex (d.c.) Functions

Difference of Max-Type (d.m.) Functions

Twice Codifferentiable Functions

Quasidifferentiable Programming Problems

See also

References

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References

  1. Demyanov VF (1995) Fixed point theorem in nonsmooth analysis and its applications. Numer Funct Anal Optim 16(1–2):53–110

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  2. Demyanov VF, Di Pillo G, Facchinei F (1998) Exact penalization via Dini and Hadamard conditional derivatives. Optim Methods Softw 8:19–36

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  3. Demyanov VF, Rubinov AM (1980) On quasidifferentiable functionals. Dokl USSR Acad Sci (2) 250(1):21–25

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  4. Demyanov VF, Rubinov AM (1995) Constructive nonsmooth analysis. P. Lang, Frankfurt am Main

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  5. Demyanov VF, Vasiliev LV (1986) Nondifferentiable optimization. Springer and Optim. Software, Berlin

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  6. Hiriart–Urruty J-B (1989) From convex optimization to nonconvex optimization. In: Clarke FH, Demyanov VF, Giannessi F (eds) Nonsmooth Optimization and Related Topics. Plenum, New York, pp 219–239

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  7. Rockafellar RT (1970) Convex analysis. Princeton Univ. Press, Princeton

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Author information

Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    Vladimir F. Demyanov

Authors
  1. Vladimir F. Demyanov
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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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Demyanov, V.F. (2008). Quasidifferentiable Optimization: Algorithms for QD Functions . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_543

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