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Genericity In Polynomial Optimization, Vui Ha Huy Et Al


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Цена: 11563.00р.
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При оформлении заказа до: 2025-08-04
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Автор: Vui Ha Huy Et Al
Название:  Genericity In Polynomial Optimization
ISBN: 9781786342218
Издательство: World Scientific Publishing
Классификация:


ISBN-10: 1786342219
Обложка/Формат: Hardback
Страницы: 260
Вес: 0.50 кг.
Дата издания: 23.02.2017
Серия: Mathematics
Язык: English
Размер: 157 x 234 x 20
Читательская аудитория: College/higher education
Ключевые слова: Optimization, MATHEMATICS / Geometry / Algebraic,MATHEMATICS / Numerical Analysis,MATHEMATICS / Optimization
Основная тема: Mathematics / Calculus Of Variations And Optimal Control / Optimization
Ссылка на Издательство: Link
Поставляется из: Англии
Описание:

In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered within the optimization community.

Explanations focus on critical points and tangencies of polynomial optimization, HOlderian error bounds for polynomial systems, Frank-Wolfe-type theorem for polynomial programs and well-posedness in polynomial optimization. It then goes on to look at optimization for the different types of polynomials. Through this text graduate students, PhD students and researchers of mathematics will be provided with the knowledge necessary to use semi-algebraic geometry in optimization.




Handbook on Semidefinite, Conic and Polynomial Optimization

Автор: Anjos
Название: Handbook on Semidefinite, Conic and Polynomial Optimization
ISBN: 1461407680 ISBN-13(EAN): 9781461407683
Издательство: Springer
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Цена: 24456.00 р. 34937.00 -30%
Наличие на складе: Есть (1 шт.)
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.

Handbook Of The Tutte Polynomial

Название: Handbook Of The Tutte Polynomial
ISBN: 1482240629 ISBN-13(EAN): 9781482240627
Издательство: Taylor&Francis
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Цена: 32921.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This is the first handbook published on the Tutte Polynomial. It consists of thirty-four chapters, written by experts in the field, that collectively offer a concise overview of the polynomial`s many properties and applications. Each chapter covers a different aspect of the Tutte polynomial.

Handbook on Semidefinite, Conic and Polynomial Optimization

Название: Handbook on Semidefinite, Conic and Polynomial Optimization
ISBN: 1461407699 ISBN-13(EAN): 9781461407690
Издательство: Springer
Цена: 27944.00 р.
Наличие на складе: Поставка под заказ.

Manifestations of Genericity

Автор: Greenberg Yael
Название: Manifestations of Genericity
ISBN: 0415861373 ISBN-13(EAN): 9780415861373
Издательство: Taylor&Francis
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Цена: 8573.00 р.
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Описание: In this book, Yael Greenberg discusses and clarifies a number of controversial issues and phenomena in the generic literature, including the existence of "episodic genericity," existential presuppositions, and contextual restrictions of generics.

Interpolation and Extrapolation Optimal Designs V1: Polynomial Regression and Approximation Theory

Автор: Giorgio Celant, Michel Broniatowski
Название: Interpolation and Extrapolation Optimal Designs V1: Polynomial Regression and Approximation Theory
ISBN: 1848219954 ISBN-13(EAN): 9781848219953
Издательство: Wiley
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Цена: 22010.00 р.
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Описание:

This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields.

In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions.

The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Solving Polynomial Equation Systems I

Автор: Teo Mora
Название: Solving Polynomial Equation Systems I
ISBN: 0521811546 ISBN-13(EAN): 9780521811545
Издательство: Cambridge Academ
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Цена: 27562.00 р.
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Описание: Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.

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
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Цена: 7286.00 р.
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Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. 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
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Цена: 21226.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. 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.


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