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The analysis of local or global extreme points of a scalar valued function \(f{:}\, A\rightarrow \mathbb {R}\) is rather different according as one looks at the interior points of A or if the subset in which one searches the extreme points of f is a “constraint”, that is a set of smaller dimension, in a sense to be made precise.

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Minima and Maxima, Implicit Functions

  • 章节

  • 发表日期：

    2025年

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  • Marco Baronti,
  • Enrico Calcagno,
  • Filippo De Mari,
  • Robertus van der Putten

摘要

The analysis of local or global extreme points of a scalar valued function \(f{:}\, A\rightarrow \mathbb {R}\) is rather different according as one looks at the interior points of A or if the subset in which one searches the extreme points of f is a “constraint”, that is a set of smaller dimension, in a sense to be made precise.