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