The Resource Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb
Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb
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The item Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. This approach can be applied to any network irrespective of the network's structure or whether the network is directed, undirected, weighted, unweighted, etc. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate how, together, these methods can be applied to gain new results in a number of areas. This includes the stability of timedelayed and non timedelayed dynamical networks, eigenvalue estimation, pseudospectra analysis, and the estimation of survival probabilities in open dynamical systems. The theory of isospectral transformations, developed in this text, can be readily applied in any area that involves the analysis of multidimensional systems and is especially applicable to the analysis of network dynamics. This book will be of interest to mathematicians, physicists, biologists, engineers and to anyone who has an interest in the dynamics of networks
 Language
 eng
 Extent
 xvi, 175 pages
 Contents

 1. Isospectral matrix reductions
 2. Dynamical networks and isospectral graph reductions
 3. Stability of dynamical networks
 4. Improved Eigenvalue estimates
 5. Pseudospectra and inverse pseudospectra
 6. Improved estimates of survival probabilities
 Isbn
 9781493913749
 Label
 Isospectral transformations : a new approach to analyzing multidimensional systems and networks
 Title
 Isospectral transformations
 Title remainder
 a new approach to analyzing multidimensional systems and networks
 Statement of responsibility
 Leonid Bunimovich, Benjamin Webb
 Language
 eng
 Summary
 This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. This approach can be applied to any network irrespective of the network's structure or whether the network is directed, undirected, weighted, unweighted, etc. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate how, together, these methods can be applied to gain new results in a number of areas. This includes the stability of timedelayed and non timedelayed dynamical networks, eigenvalue estimation, pseudospectra analysis, and the estimation of survival probabilities in open dynamical systems. The theory of isospectral transformations, developed in this text, can be readily applied in any area that involves the analysis of multidimensional systems and is especially applicable to the analysis of network dynamics. This book will be of interest to mathematicians, physicists, biologists, engineers and to anyone who has an interest in the dynamics of networks
 Cataloging source
 YDXCP
 http://library.link/vocab/creatorName
 Bunimovich, Leonid
 Dewey number
 512.9
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA188
 LC item number
 .B865 2014
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Webb, Benjamin
 Series statement
 Springer monographs in mathematics,
 http://library.link/vocab/subjectName

 Complex matrices
 Matrices
 Eigenvalues
 Spectral theory (Mathematics)
 Differentiable dynamical systems
 Neural networks (Computer science)
 Complex matrices
 Differentiable dynamical systems
 Eigenvalues
 Matrices
 Neural networks (Computer science)
 Spectral theory (Mathematics)
 Label
 Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 1. Isospectral matrix reductions  2. Dynamical networks and isospectral graph reductions  3. Stability of dynamical networks  4. Improved Eigenvalue estimates  5. Pseudospectra and inverse pseudospectra  6. Improved estimates of survival probabilities
 Control code
 880965528
 Dimensions
 25 cm
 Extent
 xvi, 175 pages
 Isbn
 9781493913749
 Lccn
 2014944753
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)880965528
 Label
 Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 1. Isospectral matrix reductions  2. Dynamical networks and isospectral graph reductions  3. Stability of dynamical networks  4. Improved Eigenvalue estimates  5. Pseudospectra and inverse pseudospectra  6. Improved estimates of survival probabilities
 Control code
 880965528
 Dimensions
 25 cm
 Extent
 xvi, 175 pages
 Isbn
 9781493913749
 Lccn
 2014944753
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)880965528
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