Handbook on Semidefinite, Conic and Polynomial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook on Semidefinite, Conic and Polynomial Optimization write by Miguel F. Anjos. This book was released on 2011-11-19. Handbook on Semidefinite, Conic and Polynomial Optimization available in PDF, EPUB and Kindle. 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 on Semidefinite, Conic and Polynomial Optimization
Handbook on Semidefinite, Conic and Polynomial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook on Semidefinite, Conic and Polynomial Optimization write by Jean B Lasserre. This book was released on 2016-05-01. Handbook on Semidefinite, Conic and Polynomial Optimization available in PDF, EPUB and Kindle. This book offers the reader a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization and polynomial optimization. It covers theory, algorithms, software and applications.
Moment and Polynomial Optimization
Moment and Polynomial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moment and Polynomial Optimization write by Jiawang Nie. This book was released on 2023-06-15. Moment and Polynomial Optimization available in PDF, EPUB and Kindle. Moment and polynomial optimization is an active research field used to solve difficult questions in many areas, including global optimization, tensor computation, saddle points, Nash equilibrium, and bilevel programs, and it has many applications. The author synthesizes current research and applications, providing a systematic introduction to theory and methods, a comprehensive approach for extracting optimizers and solving truncated moment problems, and a creative methodology for using optimality conditions to construct tight Moment-SOS relaxations. This book is intended for applied mathematicians, engineers, and researchers entering the field. It can be used as a textbook for graduate students in courses on convex optimization, polynomial optimization, and matrix and tensor optimization.
Genericity In Polynomial Optimization
Genericity In Polynomial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Genericity In Polynomial Optimization write by Tien Son Pham. This book was released on 2016-12-22. Genericity In Polynomial Optimization available in PDF, EPUB and Kindle. 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, Hölderian 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.
Facility Layout
Facility Layout - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Facility Layout write by Miguel F. Anjos. This book was released on 2021-04-24. Facility Layout available in PDF, EPUB and Kindle. This book presents a structured approach to develop mathematical optimization formulations for several variants of facility layout. The range of layout problems covered includes row layouts, floor layouts, multi-floor layouts, and dynamic layouts. The optimization techniques used to formulate the problems are primarily mixed-integer linear programming, second-order conic programming, and semidefinite programming. The book also covers important practical considerations for solving the formulations. The breadth of approaches presented help the reader to learn how to formulate a variety of problems using mathematical optimization techniques. The book also illustrates the use of layout formulations in selected engineering applications, including manufacturing, building design, automotive, and hospital layout.
