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Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Add to basketPaperback. Condition: Brand New. 142 pages. 9.75x7.00x0.50 inches. In Stock.
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Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by MP-AMM American Mathematical, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by American Mathematical Society, Providence, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Paperback. Condition: new. Paperback. This volume is based on lectures delivered at the 2019 AMS Short Course ""Sum of Squares: Theory and Applications'', held January 14-15, 2019, in Baltimore, Maryland. This book provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science.The six chapters introduce and survey recent developments in this area; specific topics include the algebraic and geometric aspects of sums of squares and spectrahedra, lifted representations of convex sets, and the algorithmic and computational implications of viewing sums of squares as a meta algorithm. The book also showcases practical applications of the techniques across a variety of areas, including control theory, statistics, finance and machine learning. Provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Language: English
Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by Society for Industrial and Applied Mathematics, 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Published by Society for Industrial and Applied Mathematics, 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by Society for Industrial and Applied Mathematics, 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Published by Society for Industrial & Applied Mathematics,U.S., 2012
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Language: English
Published by American Mathematical Society, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
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Published by Society for Industrial and Applied Mathematics, 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Published by SIAM-Society for Industrial and Applied Mathematics, 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Published by Society for Industrial and Applied Mathematics,U.S., US, 2012
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Paperback. Condition: New. Provides a self-contained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This quickly evolving research area with contributions from the diverse fields of convex geometry, algebraic geometry, and optimization is known as convex algebraic geometry.Each chapter addresses a fundamental aspect of convex algebraic geometry. The book begins with an introduction to nonnegative polynomials and sums of squares and their connections to semidefinite programming and quickly advances to several areas at the forefront of current research. These include: Semidefinite representability of convex sets.Duality theory from the point of view of algebraic geometry.Nontraditional topics such as sums of squares of complex forms and noncommutative sums of squares polynomials.
Language: English
Published by Society for Industrial & Applied Mathematics,U.S., 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Published by Society for Industrial & Applied Mathematics,U.S., 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Language: English
Published by Society for Industrial and Applied Mathematics,U.S., US, 2013
ISBN 10: 1611972280 ISBN 13: 9781611972283
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Add to basketPaperback. Condition: New. 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.
Language: English
Published by American Mathematical Society, Providence, 2020
ISBN 10: 1470450259 ISBN 13: 9781470450250
Seller: AussieBookSeller, Truganina, VIC, Australia
Paperback. Condition: new. Paperback. This volume is based on lectures delivered at the 2019 AMS Short Course ""Sum of Squares: Theory and Applications'', held January 14-15, 2019, in Baltimore, Maryland. This book provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science.The six chapters introduce and survey recent developments in this area; specific topics include the algebraic and geometric aspects of sums of squares and spectrahedra, lifted representations of convex sets, and the algorithmic and computational implications of viewing sums of squares as a meta algorithm. The book also showcases practical applications of the techniques across a variety of areas, including control theory, statistics, finance and machine learning. Provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.