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Handbook on Semidefinite, Conic and Polynomial Optimization, Anjos


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Цена: 252950T
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Автор: Anjos
Название:  Handbook on Semidefinite, Conic and Polynomial Optimization   (Анджос: Справочник по полу-определенным, коническим и полиномиальным оптимизациям)
Издательство: Springer
Классификация:
ISBN: 1461407680
ISBN-13(EAN): 9781461407683
Обложка/Формат: Hardback
Страницы: 959
Вес: 1.527 кг.
Дата издания: 01.11.2011
Серия: International Series in Operations Research & Management Science
Язык: English
Издание: 2012
Иллюстрации: 40 black & white tables, biography
Размер: 234 x 156 x 51
Читательская аудитория: Professional & vocational
Рейтинг:
Поставляется из: Германии
Описание: Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied (under different names) since at least the 1940s, its importance grew immensely during the 1990s after polynomial-time interior-point methods for linear optimization were extended to solve semidefinite optimization problems. Since the beginning of the 21st century, not only has research into semidefinite and conic optimization continued unabated, but also a fruitful interaction has developed with algebraic geometry through the close connections between semidefinite matrices and polynomial optimization. This has brought about important new results and led to an even higher level of research activity. This Handbook on Semidefinite, Conic and Polynomial Optimization provides the reader with a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization, and polynomial optimization. It contains a compendium of the recent research activity that has taken place in these thrilling areas, and will appeal to doctoral students, young graduates, and experienced researchers alike. The Handbook’s thirty-one chapters are organized into four parts:Theory, covering significant theoretical developments as well as the interactions between conic optimization and polynomial optimization;Algorithms, documenting the directions of current algorithmic development;Software, providing an overview of the state-of-the-art;Applications, dealing with the application areas where semidefinite and conic optimization has made a significant impact in recent years.
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      Новое издание
Handbook on Semidefinite, Conic and Polynomial Optimization

Название: Handbook on Semidefinite, Conic and Polynomial Optimization
ISBN: 1461407699 ISBN-13(EAN): 9781461407690
Издательство: Springer
Цена: 230940 T
Наличие на складе: Поставка под заказ.


Semidefinite Optimization and Convex Algebraic Geometry

Автор: Blekherman
Название: Semidefinite Optimization and Convex Algebraic Geometry
ISBN: 1611972280 ISBN-13(EAN): 9781611972283
Издательство: Eurospan
Рейтинг:
Цена: 198630 T
Наличие на складе: Невозможна поставка.
Описание: This book provides a self-contained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This important and highly applicable research area, with contributions from convex geometry, algebraic geometry and optimization, is known as convex algebraic geometry. Each chapter addresses a fundamental aspect of the topic, beginning with an introduction to nonnegative polynomials and sums of squares, and their connections to semidefinite programming. The material quickly advances to areas at the forefront of current research, including semidefinite representability of convex sets, duality theory in algebraic geometry, and nontraditional topics such as sums of squares of complex forms. The book is a suitable entry point to the subject for readers at the graduate level or above in mathematics, engineering or computer science. Instructors will find the book appropriate for a class or seminar, and researchers will encounter open problems and new research directions.

Aspects of Semidefinite Programming / Interior Point Algorithms and Selected Applications

Автор: de Klerk E.
Название: Aspects of Semidefinite Programming / Interior Point Algorithms and Selected Applications
ISBN: 1402005474 ISBN-13(EAN): 9781402005473
Издательство: Springer
Рейтинг:
Цена: 196290 T
Наличие на складе: Поставка под заказ.
Описание: Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming.In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several "classic" applications of semidefinite programming are also described in detail. These include the LovГЎsz theta function and the MAX-CUT approximation algorithm by Goemans and Williamson. Audience: Researchers or graduate students in optimization or related fields, who wish to learn more about the theory and applications of semidefinite programming.

Positive Trigonometric Polynomials and Signal Processing Applications

Автор: Dumitrescu B.
Название: Positive Trigonometric Polynomials and Signal Processing Applications
ISBN: 1402051247 ISBN-13(EAN): 9781402051241
Издательство: Springer
Рейтинг:
Цена: 173240 T
Наличие на складе: Поставка под заказ.
Описание: Presents the results on positive trigonometric polynomials within a unitary framework; the theoretical results obtained partly from the general theory of real polynomials, partly from self-sustained developments. This book provides information on the theory of sum-of-squares trigonometric polynomials in two parts: theory and applications.

An Introduction to Polynomial and Semi-Algebraic Optimization

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 110763069X ISBN-13(EAN): 9781107630697
Издательство: Cambridge Academ
Рейтинг:
Цена: 54770 T
Наличие на складе: Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

An Introduction to Polynomial and Semi-Algebraic Optimization

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 1107060575 ISBN-13(EAN): 9781107060579
Издательство: Cambridge Academ
Рейтинг:
Цена: 158860 T
Наличие на складе: Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Interior Point Polynomial Algorithms in Convex Programming

Автор: Nesterov
Название: Interior Point Polynomial Algorithms in Convex Programming
ISBN: 0898715156 ISBN-13(EAN): 9780898715156
Издательство: Eurospan
Рейтинг:
Цена: 159760 T
Наличие на складе: Поставка под заказ.
Описание: Written for specialists working in optimization, mathematical programming, or control theory. The general theory of path-following and potential reduction interior point polynomial time methods, interior point methods, interior point methods for linear and quadratic programming, polynomial time methods for nonlinear convex programming, efficient computation methods for control problems and variational inequalities, and acceleration of path-following methods are covered. In this book, the authors describe the first unified theory of polynomial-time interior-point methods. Their approach provides a simple and elegant framework in which all known polynomial-time interior-point methods can be explained and analyzed; this approach yields polynomial-time interior-point methods for a wide variety of problems beyond the traditional linear and quadratic programs.

Moments, positive polynomials and their applications

Автор: Lasserre, Jean-bernard
Название: Moments, positive polynomials and their applications
ISBN: 1848164459 ISBN-13(EAN): 9781848164451
Издательство: World Scientific Publishing
Рейтинг:
Цена: 138320 T
Наличие на складе: Поставка под заказ.
Описание: Many important problems in global optimization, algebra, probability and statistics, applied mathematics, control theory, and financial mathematics can be modeled as a particular instance of the Generalized Moment Problem (GMP). This book introduces a general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets.


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