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© 2015

Convex Optimization in Normed Spaces

Theory, Methods and Examples

Book

Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Juan Peypouquet
    Pages 1-23
  3. Juan Peypouquet
    Pages 25-32
  4. Juan Peypouquet
    Pages 33-64
  5. Juan Peypouquet
    Pages 65-80
  6. Juan Peypouquet
    Pages 81-91
  7. Juan Peypouquet
    Pages 93-117
  8. Back Matter
    Pages 119-124

About this book

Introduction

This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. It is also a concise, easy-to-follow and self-contained textbook, which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references.

Keywords

Convex optimization nonlinear programming nonsmooth optimization numerical optimization optimal control variational analysis

Authors and affiliations

  1. 1.Universidad Técnica FedericoValparaísoChile

About the authors

Juan Peypouquet is an Associate Professor at the Mathematics Department of the Universidad Tecnica Federico Santa Maria.  His main research interest is the study of the asymptotic behavior of dynamical systems in a broad sense, along with their applications in variational analysis and optimization.

Bibliographic information

Reviews

“This short book is dedicated to convex optimization, beginning with theoretical aspects, ending with numerical methods, and complemented with numerous examples. … this is an interesting and well-written book that is adequate for a graduate-level course on convex optimization.” (Constantin Zălinescu, Mathematical Reviews, November, 2015)