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Recent Advances in Nonsmooth Optimization

1995 Mathematics
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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 659/5 ( reviews)

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Book Synopsis Recent Advances in Nonsmooth Optimization by : Dingzhu Du

Download or read book Recent Advances in Nonsmooth Optimization written by Dingzhu Du. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.

Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control

1992-05-07 Mathematics
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Release : 1992-05-07
Genre : Mathematics
Kind : eBook
Book Rating : 414/5 ( reviews)

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Book Synopsis Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control by : Marko M Makela

Download or read book Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control written by Marko M Makela. This book was released on 1992-05-07. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Advances in Nonsmooth Optimization, Optimal Control, and Related Topics

2016
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Release : 2016
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Advances in Nonsmooth Optimization, Optimal Control, and Related Topics by :

Download or read book Advances in Nonsmooth Optimization, Optimal Control, and Related Topics written by . This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Optimization

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 73X/5 ( reviews)

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Book Synopsis Recent Advances in Optimization by : Peter Gritzmann

Download or read book Recent Advances in Optimization written by Peter Gritzmann. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent theoretical and practical aspects in the field of optimization and convex analysis. The topics covered in this volume include: - Equilibrium models in economics. - Control theory and semi-infinite programming. - Ill-posed variational problems. - Global optimization. - Variational methods in image restoration. - Nonsmooth optimization. - Duality theory in convex and nonconvex optimization. - Methods for large scale problems.

Numerical Nonsmooth Optimization

2020-02-28 Business & Economics
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Release : 2020-02-28
Genre : Business & Economics
Kind : eBook
Book Rating : 101/5 ( reviews)

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Book Synopsis Numerical Nonsmooth Optimization by : Adil M. Bagirov

Download or read book Numerical Nonsmooth Optimization written by Adil M. Bagirov. This book was released on 2020-02-28. Available in PDF, EPUB and Kindle. Book excerpt: Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this book is to survey various numerical methods for solving NSO problems and to provide an overview of the latest developments in the field. Experts from around the world share their perspectives on specific aspects of numerical NSO. The book is divided into four parts, the first of which considers general methods including subgradient, bundle and gradient sampling methods. In turn, the second focuses on methods that exploit the problem’s special structure, e.g. algorithms for nonsmooth DC programming, VU decomposition techniques, and algorithms for minimax and piecewise differentiable problems. The third part considers methods for special problems like multiobjective and mixed integer NSO, and problems involving inexact data, while the last part highlights the latest advancements in derivative-free NSO. Given its scope, the book is ideal for students attending courses on numerical nonsmooth optimization, for lecturers who teach optimization courses, and for practitioners who apply nonsmooth optimization methods in engineering, artificial intelligence, machine learning, and business. Furthermore, it can serve as a reference text for experts dealing with nonsmooth optimization.

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