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Convexity

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL,volume 317)

The concept of convexity has far-reaching consequences in variational analysis. In the study of maximization and minimization, the division between problems of convex or nonconvex type is as significant as the division in other areas of mathematics between problems of linear or nonlinear type. Furthermore, convexity can often be introduced or utilized in a local sense and in this way serves many theoretical purposes.

Keywords

  • Line Segment
  • Convex Function
  • Convex Hull
  • Convex Combination
  • Piecewise Linear Function

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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© 1998 Springer-Verlag Berlin Heidelberg

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(1998). Convexity. In: Variational Analysis. Grundlehren der mathematischen Wissenschaften, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02431-3_2

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  • DOI: https://doi.org/10.1007/978-3-642-02431-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62772-2

  • Online ISBN: 978-3-642-02431-3

  • eBook Packages: Springer Book Archive