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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
N$T
http://library.link/vocab/creatorName
Bunimovich, L. A
Dewey number
512.943
Index
index present
LC call number
QA188
Literary form
non fiction
Nature of contents
  • dictionaries
  • 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)
  • MATHEMATICS
  • 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
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks -- Isospectral Matrix Reductions -- Dynamical Networks and Isospectral Graph Reductions -- Stability of Dynamical Networks -- Improved Eigenvalue Estimates -- Pseudospectra and Inverse Pseudospectra -- Improved Estimates of Survival Probabilities
Control code
890469491
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9781493913756
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4939-1375-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)890469491
Label
Isospectral transformations : a new approach to analyzing multidimensional systems and networks, Leonid Bunimovich, Benjamin Webb
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks -- Isospectral Matrix Reductions -- Dynamical Networks and Isospectral Graph Reductions -- Stability of Dynamical Networks -- Improved Eigenvalue Estimates -- Pseudospectra and Inverse Pseudospectra -- Improved Estimates of Survival Probabilities
Control code
890469491
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9781493913756
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4939-1375-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)890469491

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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