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The Resource Approximation of large-scale dynamical systems, Athanasios C. Antoulas, (electronic resource)

Approximation of large-scale dynamical systems, Athanasios C. Antoulas, (electronic resource)

Label
Approximation of large-scale dynamical systems
Title
Approximation of large-scale dynamical systems
Statement of responsibility
Athanasios C. Antoulas
Creator
Contributor
Subject
Language
eng
Summary
Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational, accuracy, and storage capabilities, model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications. Audience: anyone interested in model reduction, including graduate students and researchers in the fields of system and control theory, numerical analysis, and the theory of partial differential equations/computational fluid dynamics
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Advances in design and control
Series volume
6
Target audience
  • adult
  • specialized
Approximation of large-scale dynamical systems, Athanasios C. Antoulas, (electronic resource)
Label
Approximation of large-scale dynamical systems, Athanasios C. Antoulas, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc06
Publication
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Bibliography note
Includes bibliographical references (p. 441-465) and index
Color
black and white
Contents
Introduction -- Motivating examples -- Tools from matrix theory -- Linear dynamical systems: part 1 -- Linear dynamical systems: part 2 -- Sylvester and Lyapunov equations -- Balancing and balanced approximations -- Hankel-norm approximation -- Special topics in SVD-based approximation methods -- Eigenvalue computations -- Model reduction using Krylov methods -- SVD-Krylov methods -- Case studies -- Epilogue -- Problems
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9780898718713&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3018482'}
Extent
1 electronic text (xxv, 479 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898718713
Isbn Type
(electronic bk.)
Other physical details
ill. (some col.), digital file.
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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