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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

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
Creator
Contributor
Author
Subject
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 time-delayed and non time-delayed 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
Member of
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
Instantiates
Publication
Copyright
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
Publication
Copyright
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

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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