Convex Optimization in Normed Spaces (eBook)

Theory, Methods and Examples

Juan Peypouquet (Autor)

eBook Download: PDF

2015 | 1. Auflage
XIV, 124 Seiten
Springer-Verlag
978-3-319-13710-0 (ISBN)

Infos

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.

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.

Inhalt

Basic Functional Analysis.- Existence of Minimizers.- Convex Analysis and Subdifferential Calculus.- Examples.- Problem-solving Strategies.- Keynote Iterative Methods.

Produkt-Details

• Erscheint lt. Verlag: 18.3.2015
• Reihe/Serie: SpringerBriefs in Optimization
• Zusatzinfo: XIV, 124 p. 17 illus.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Convex Optimization • Nonlinear Programming • Nonsmooth Optimization • Numerical optimization • optimal control • variational analysis
• ISBN-10: 3-319-13710-7 / 3319137107
• ISBN-13: 978-3-319-13710-0 / 9783319137100