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Nonsmooth Analysis

The One-dimensional Case
  • Vladimir F. Dem’yanov
  • Georgios E. Stavroulakis
  • Ludmila N. Polyakova
  • Panagiotis D. Panagiotopoulos
Chapter
  • 133 Downloads
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 10)

Abstract

To understand the ideas, problems and applications of Nonsmooth Analysis, we first discuss in detail the simplest — one-dimensional — case. Most of the results are presented here with their proofs. For the results given without proofs the reader is referred to the Bibliography.

Keywords

Directional Derivative NONSMOOTH Analysis Sufficient Optimality Condition Piecewise Smooth Function Global Minimum Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Demyanov, V.F and Rubinov, A.M. (1995), Introduction to Constructive Nonsmooth Analysis, Peter Lang Verlag, Frankfurt a.M. — Bern — New York, 414 p.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Vladimir F. Dem’yanov
    • 1
  • Georgios E. Stavroulakis
    • 2
  • Ludmila N. Polyakova
    • 1
  • Panagiotis D. Panagiotopoulos
    • 3
    • 4
  1. 1.Department of MathematicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Lehr- und Forschungsgebiet für Mechanik; Lehrstuhl C für MathematikRWTHAachenGermany
  3. 3.Department of Civil EngineeringAristotle UniversityThessalonikiGreece
  4. 4.Faculty of Mathematics and PhysicsRWTHAachenGermany

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