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Finite Dimensional Convexity and Optimization

  • Book
  • © 2001

Overview

Authors:
  1. Monique Florenzano

    1. Pascal Gourdel MSE-Université de Paris 1, CERMSEM, Paris, France

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  2. Cuong Le Van

    1. Pascal Gourdel MSE-Université de Paris 1, CERMSEM, Paris, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Optimization is presented especially for use in the field of economic theory

Part of the book series: Studies in Economic Theory (ECON.THEORY, volume 13)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. Convexity in ℝn

    • Monique Florenzano, Cuong Le Van
    Pages 1-19

  3. Separation and Polarity

    • Monique Florenzano, Cuong Le Van
    Pages 21-36

  4. Extremal Structure of Convex Sets

    • Monique Florenzano, Cuong Le Van
    Pages 37-50

  5. Linear Programming

    • Monique Florenzano, Cuong Le Van
    Pages 51-71

  6. Convex Functions

    • Monique Florenzano, Cuong Le Van
    Pages 73-86

  7. Differential Theory of Convex Functions

    • Monique Florenzano, Cuong Le Van
    Pages 87-107

  8. Convex Optimization With Convex Constraints

    • Monique Florenzano, Cuong Le Van
    Pages 109-127

  9. Non Convex Optimization

    • Monique Florenzano, Cuong Le Van
    Pages 129-139

  10. Back Matter

    Pages 141-154
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Keywords

About this book

The primary aim of this book is to present notions of convex analysis which constitute the basic underlying structure of argumentation in economic theory and which are common to optimization problems encountered in many applications. The intended readers are graduate students, and specialists of mathematical programming whose research fields are applied mathematics and economics. The text consists of a systematic development in eight chapters, with guided exercises containing sometimes significant and useful additional results. The book is appropriate as a class text, or for self-study.

Authors and Affiliations

  • Pascal Gourdel MSE-Université de Paris 1, CERMSEM, Paris, France

    Monique Florenzano, Cuong Le Van

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