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Introduction to Nonlinear Optimization

2014-10-27 Mathematics
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Release : 2014-10-27
Genre : Mathematics
Kind : eBook
Book Rating : 651/5 ( reviews)

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Book Synopsis Introduction to Nonlinear Optimization by : Amir Beck

Download or read book Introduction to Nonlinear Optimization written by Amir Beck. This book was released on 2014-10-27. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences. The author combines three pillars of optimization?theoretical and algorithmic foundation, familiarity with various applications, and the ability to apply the theory and algorithms on actual problems?and rigorously and gradually builds the connection between theory, algorithms, applications, and implementation. Readers will find more than 170 theoretical, algorithmic, and numerical exercises that deepen and enhance the reader's understanding of the topics. The author includes offers several subjects not typically found in optimization books?for example, optimality conditions in sparsity-constrained optimization, hidden convexity, and total least squares. The book also offers a large number of applications discussed theoretically and algorithmically, such as circle fitting, Chebyshev center, the Fermat?Weber problem, denoising, clustering, total least squares, and orthogonal regression and theoretical and algorithmic topics demonstrated by the MATLAB? toolbox CVX and a package of m-files that is posted on the book?s web site.

Introduction to Nonlinear and Global Optimization

2010-04-27 Mathematics
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Release : 2010-04-27
Genre : Mathematics
Kind : eBook
Book Rating : 702/5 ( reviews)

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Book Synopsis Introduction to Nonlinear and Global Optimization by : Eligius M.T. Hendrix

Download or read book Introduction to Nonlinear and Global Optimization written by Eligius M.T. Hendrix. This book was released on 2010-04-27. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text provides a solid introduction to global and nonlinear optimization, providing students of mathematics and interdisciplinary sciences with a strong foundation in applied optimization techniques. The book offers a unique hands-on and critical approach to applied optimization which includes the presentation of numerous algorithms, examples, and illustrations, designed to improve the reader’s intuition and develop the analytical skills needed to identify optimization problems, classify the structure of a model, and determine whether a solution fulfills optimality conditions.

An Introduction to Nonlinear Optimization Theory

2014-01-01 Mathematics
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Release : 2014-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis An Introduction to Nonlinear Optimization Theory by : Marius Durea

Download or read book An Introduction to Nonlinear Optimization Theory written by Marius Durea. This book was released on 2014-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Non-linear Optimization

1985-01 Mathematics
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Release : 1985-01
Genre : Mathematics
Kind : eBook
Book Rating : 537/5 ( reviews)

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Book Synopsis Introduction to Non-linear Optimization by : L. E. Scales

Download or read book Introduction to Non-linear Optimization written by L. E. Scales. This book was released on 1985-01. Available in PDF, EPUB and Kindle. Book excerpt:

First-Order Methods in Optimization

2017-10-02 Mathematics
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Release : 2017-10-02
Genre : Mathematics
Kind : eBook
Book Rating : 984/5 ( reviews)

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Book Synopsis First-Order Methods in Optimization by : Amir Beck

Download or read book First-Order Methods in Optimization written by Amir Beck. This book was released on 2017-10-02. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods.

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