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Euclidean Distance Matrices and Their Applications in Rigidity Theory, Abdo Y. Alfakih


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Автор: Abdo Y. Alfakih
Название:  Euclidean Distance Matrices and Their Applications in Rigidity Theory
ISBN: 9783319978451
Издательство: Springer
Классификация:





ISBN-10: 3319978454
Обложка/Формат: Hardcover
Страницы: 251
Вес: 0.57 кг.
Дата издания: 2018
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 10 tables, color; 28 illustrations, black and white; xiv, 251 p. 28 illus.
Размер: 234 x 156 x 16
Читательская аудитория: Professional & vocational
Ключевые слова: Statistical Theory and Methods
Основная тема: Statistics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration.
Euclidean Distance Matrices and Their Applications in Rigidity Theory begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.

Дополнительное описание: Chapter 1. Mathematical Preliminaries.- Chapter 2. Positive Semidefinite Matrices.- Chapter 3. Euclidean Distance Matrices (EDMs).- Chapter 4. Classes of EDMs.- Chapter 5. The Geometry of EDMs.- Chapter 6. The Eigenvalues of EDMs.- Chapter 7. The Entries



Random matrices: high dimensional phenomena

Автор: Blower, Gordon
Название: Random matrices: high dimensional phenomena
ISBN: 0521133122 ISBN-13(EAN): 9780521133128
Издательство: Cambridge Academ
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Цена: 10138.00 р.
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Описание: An introduction to the behaviour of random matrices. Suitable for postgraduate students and non-experts.

Euclidean Distance Matrices and Their Applications in Rigidity Theory

Автор: Abdo Y. Alfakih
Название: Euclidean Distance Matrices and Their Applications in Rigidity Theory
ISBN: 303007417X ISBN-13(EAN): 9783030074173
Издательство: Springer
Рейтинг:
Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration.

Euclidean Distance Matrices and Their Applications in Rigidity Theory begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.
Rigidity Theory and Applications

Автор: M.F. Thorpe; P.M. Duxbury
Название: Rigidity Theory and Applications
ISBN: 1475786298 ISBN-13(EAN): 9781475786293
Издательство: Springer
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Цена: 30745.00 р.
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Описание: Proceedings of a conference held in Traverse City, Michigan, June 14-17, 1998

Log-Gases and Random Matrices

Автор: Forrester Peter J
Название: Log-Gases and Random Matrices
ISBN: 0691128294 ISBN-13(EAN): 9780691128290
Издательство: Wiley
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Цена: 20592.00 р.
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Описание: Random matrix theory, both as an application and as a theory, has evolved rapidly over the years. This title chronicles these developments, emphasizing log-gases as a physical picture. It covers topics such as beta ensembles and Jack polynomials. It develops the application and theory of Gaussian and circular ensembles of random matrix theory.

Introduction to random matrices

Автор: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer
Название: Introduction to random matrices
ISBN: 0521194520 ISBN-13(EAN): 9780521194525
Издательство: Cambridge Academ
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Цена: 11088.00 р.
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Описание: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.

Rigidity and symmetry

Название: Rigidity and symmetry
ISBN: 1493907808 ISBN-13(EAN): 9781493907809
Издательство: Springer
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Цена: 15372.00 р.
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Описание: "The thematic program on Discrete Geometry and Applications took place at the Fields Institute for Research in Mathematical Sciences in Toronto between July 1 and December 31, 2011. The papers included in this book are based on some research conducted during the semester and on some of the lectures there"--Preface.

Rigidity and Symmetry

Автор: Robert Connelly; Asia Ivi? Weiss; Walter Whiteley
Название: Rigidity and Symmetry
ISBN: 1493949705 ISBN-13(EAN): 9781493949700
Издательство: Springer
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Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: "The thematic program on Discrete Geometry and Applications took place at the Fields Institute for Research in Mathematical Sciences in Toronto between July 1 and December 31, 2011. The papers included in this book are based on some research conducted during the semester and on some of the lectures there"--Preface.

Multivariate Statistics: Theory And Applications - Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics

Автор: Kollo Tonu
Название: Multivariate Statistics: Theory And Applications - Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics
ISBN: 9814449393 ISBN-13(EAN): 9789814449397
Издательство: World Scientific Publishing
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Цена: 16790.00 р.
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Описание: The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.

Non-Euclidean Geometries

Автор: Andr?s Pr?kopa; Emil Moln?r
Название: Non-Euclidean Geometries
ISBN: 146149771X ISBN-13(EAN): 9781461497714
Издательство: Springer
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Цена: 27251.00 р.
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Описание: "From nothing I have created a new different world," wrote Janos Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today.

Euclidean Shortest Paths

Автор: Fajie Li; Reinhard Klette
Название: Euclidean Shortest Paths
ISBN: 1447160649 ISBN-13(EAN): 9781447160649
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. The coverage includes mathematical proofs for many of the given statements.

Solutions Manual to Accompany Classical Geometry -  Euclidean, Transformational, Inversive, and Projective

Автор: Leonard
Название: Solutions Manual to Accompany Classical Geometry - Euclidean, Transformational, Inversive, and Projective
ISBN: 1118903528 ISBN-13(EAN): 9781118903520
Издательство: Wiley
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Цена: 4427.00 р.
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Описание: Solutions Manual to accompany


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