Euclidean Distance Matrices and Their Applications in Rigidity Theory (Paperback)

Idioma: inglés

Editorial: Springer Nature Switzerland AG, Cham, 2019

303007417X / 9783030074173

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Paperback. 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 ourapproach. 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. This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

N° de ref. del artículo 9783030074173

Título
Euclidean Distance Matrices and Their Applications in Rigidity Theory (Paperback)
Autor
Abdo Y. Alfakih
Editorial
Springer Nature Switzerland AG, Cham
Año de publicación
2019
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
303007417X
ISBN 13
9783030074173

AussieBookSeller

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Vendedor de AbeBooks desde 22 de junio de 2007

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Primer artículoEUR 32,48EUR 38,63
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