An Introduction to Nonlinear Optimization Theory

Marius Durea; Radu Strugariu

Open Access Published by De Gruyter Open Poland 2014

An Introduction to Nonlinear Optimization Theory

Marius Durea and Radu Strugariu

https://doi.org/10.2478/9783110426045

Overview
Contents

About this book

The goal of this book is to present the main ideas and techniques in the field of continuous smooth and nonsmooth optimization. Starting with the case of differentiable data and the classical results on constrained optimization problems, and continuing with the topic of nonsmooth objects involved in optimization theory, the book concentrates on both theoretical and practical aspects of this field. This book prepares those who are engaged in research by giving repeated insights into ideas that are subsequently dealt with and illustrated in detail.

Author / Editor information

Marius Durea, “Alexandru Ioan Cuza” University of Iasi; Radu Strugariu, “Gheorghe Asachi” Technical University of Iasi, Iasi, Romania

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Preface Publicly Available Download PDF	VII
1 Preliminaries Publicly Available Download PDF	1
2 Nonlinear Analysis Fundamentals Publicly Available Download PDF	18
3 The Study of Smooth Optimization Problems Publicly Available Download PDF	78
4 Convex Nonsmooth Optimization Publicly Available Download PDF	117
5 Lipschitz Nonsmooth Optimization Publicly Available Download PDF	131
6 Basic Algorithms Publicly Available Download PDF	196
7 Exercises and Problems, and their Solutions Publicly Available Download PDF	240
Bibliography Publicly Available Download PDF	313
List of Notations Publicly Available Download PDF	315
Index Publicly Available Download PDF	317

(Deutsch)

Language: English
Publisher: De Gruyter Open Poland
Audience: Undergraduate students and graduate students in pure and applied mathematics.
Pages
- Front matter: 10
- Main content: 318
Illustrations
- Illustrations: 3
- Coloured Illustrations: 18
- Tables: 2
Keywords: Optimizaton; Nonsmooth optimization

eBook

Published: December 15, 2014
ISBN: 9783110426045

Hardcover

Published: December 15, 2014
ISBN: 9783110426038