Introduction and Problem Formulation

Johannes Jahn
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Johannes Jahn: Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik

Chapter Chapter 1 in Introduction to the Theory of Nonlinear Optimization, 1994, pp 1-5 from Springer

Abstract: Abstract In optimization one investigates problems of the determination of a minimal point of a functional on a nonempty subset of a real linear space. To be more specific this means: Let X be a real linear space, let S be a nonempty subset of X, and let f : S → ℝ be a given functional. We ask for the minimal points of f on S. An element $$\bar x \in S$$ is called a minimal point of f on S if $$f(\bar x)f(x)for\,all\,x \in S.$$ The set S is also called constraint set, and the functional f is called objective functional.

Keywords: Design Variable; Problem Formulation; Minimal Point; Nonempty Subset; Simple Problem (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-3-662-02985-5_1

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