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Local Extrema in Normed Linear Spaces

  • John L. Troutman
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In ℝd, it is possible to give conditions which are necessary in order that a function f have a local extremal value on a subset D, expressed in terms of the vanishing of its gradient ∇f (§0.5). In this chapter, we shall obtain analogous variational conditions which are necessary to characterize local extremal values of a function J on a subset D of a linear space Y supplied with a norm which assigns a “length” to each yY.

Keywords

Lagrangian Multiplier Linear Space Extremal Point Maximum Norm Local Extremum 
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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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • John L. Troutman
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA

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