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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: 9783030074173
Издательство: Springer
Классификация:




ISBN-10: 303007417X
Обложка/Формат: Soft cover
Страницы: 251
Вес: 0.42 кг.
Дата издания: 2018
Язык: English
Издание: Softcover reprint of
Иллюстрации: 10 tables, color; 28 illustrations, black and white; xiv, 251 p. 28 illus.
Размер: 234 x 156 x 14
Читательская аудитория: General (us: trade)
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



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.

Euclidean Distance Matrices and Their Applications in Rigidity Theory

Автор: Abdo Y. Alfakih
Название: Euclidean Distance Matrices and Their Applications in Rigidity Theory
ISBN: 3319978454 ISBN-13(EAN): 9783319978451
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.

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.

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.

A History of Non-Euclidean Geometry

Автор: Abe Shenitzer; Boris A. Rosenfeld; Hardy Grant
Название: A History of Non-Euclidean Geometry
ISBN: 1461264499 ISBN-13(EAN): 9781461264491
Издательство: Springer
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Цена: 22359.00 р.
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Описание: The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry.

A History of Non-Euclidean Geometry

Автор: Abe Shenitzer; Boris A. Rosenfeld; Hardy Grant
Название: A History of Non-Euclidean Geometry
ISBN: 0387964584 ISBN-13(EAN): 9780387964584
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Investigates the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. This book covers the evolution of the concept of space. It describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space.

Undergraduate Convexity: Problems and Solutions

Автор: Nielsen Mikkel Slot, Rohde Victor Ulrich
Название: Undergraduate Convexity: Problems and Solutions
ISBN: 9813146214 ISBN-13(EAN): 9789813146211
Издательство: World Scientific Publishing
Цена: 8870.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here


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