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Quasidifferential Calculus

  • Book
  • © 1986

Overview

Editors:
  1. V. F. Demyanov
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    You can also search for this editor in PubMed   Google Scholar

  2. L. C. W. Dixon
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Part of the book series: Mathematical Programming Studies (MATHPROGRAMM, volume 29)

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Table of contents (15 chapters)

  1. Front Matter

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  2. Nonsmoothness and quasidifferentiability

    • V. F. Demyanov, L. N. Polyakova, A. M. Rubinov
    Pages 1-19

  3. Quasidifferentiable functions: Necessary conditions and descent directions

    • V. F. Demyanov
    Pages 20-43

  4. On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints

    • L. N. Polyakova
    Pages 44-55

  5. Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization

    • Alexander Shapiro
    Pages 56-68

  6. On minimizing the sum of a convex function and a concave function

    • L. N. Polyakova
    Pages 69-73

  7. An algorithm for minimizing a certain class of quasidifferentiable functions

    • V. F. Demyanov, S. Gamidov, T. I. Sivelina
    Pages 74-84

  8. A linearization method for minimizing certain quasidifferentiable functions

    • Krzysztof C. Kiwiel
    Pages 85-94

  9. A directional implicit function theorem for quasidifferentiable functions

    • V. A. Demidova, V. F. Demyanov
    Pages 95-107

  10. Directional differentiability of a continual maximum function of quasidifferentiable functions

    • V. F. Demyanov, I. S. Zabrodin
    Pages 108-117

  11. On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions

    • D. Melzer
    Pages 118-134

  12. Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory

    • S. L. Pechersky
    Pages 135-144

  13. Quasidifferentiable mappings and the differentiability of maximum functions

    • N. A. Pecherskaya
    Pages 145-159

  14. Quasidifferentiable functions in Optimal Control

    • V. F. Demyanov, V. N. Nikulina, I. R. Shablinskaya
    Pages 160-175

  15. The space of star-shaped sets and its applications in nonsmooth optimization

    • A. M. Rubinov, A. A. Yagubov
    Pages 176-202

  16. ε-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems

    • V. V. Gorokhovik
    Pages 203-218

  17. Back Matter

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Keywords

Bibliographic Information

  • Book Title: Quasidifferential Calculus

  • Editors: V. F. Demyanov, L. C. W. Dixon

  • Series Title: Mathematical Programming Studies

  • DOI: https://doi.org/10.1007/BFb0121132

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • eBook ISBN: 978-3-642-00929-7Published: 07 March 2009

  • Series ISSN: 0303-3929

  • Series E-ISSN: 2364-8201

  • Edition Number: 1

  • Number of Pages: 222

  • Topics: Optimization, Mathematics of Computing

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