The Resource Approximation of largescale dynamical systems, Athanasios C. Antoulas, (electronic resource)
Approximation of largescale dynamical systems, Athanasios C. Antoulas, (electronic resource)
 Summary
 Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very largescale 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 LargeScale 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 tradeoffs 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
 Language
 eng
 Extent
 1 electronic text (xxv, 479 p.)
 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
 Hankelnorm approximation
 Special topics in SVDbased approximation methods
 Eigenvalue computations
 Model reduction using Krylov methods
 SVDKrylov methods
 Case studies
 Epilogue
 Problems
 Isbn
 9780898718713
 Label
 Approximation of largescale dynamical systems
 Title
 Approximation of largescale dynamical systems
 Statement of responsibility
 Athanasios C. Antoulas
 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 largescale 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 LargeScale 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 tradeoffs 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
 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
 Label
 Approximation of largescale 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
 Bibliography note
 Includes bibliographical references (p. 441465) 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  Hankelnorm approximation  Special topics in SVDbased approximation methods  Eigenvalue computations  Model reduction using Krylov methods  SVDKrylov methods  Case studies  Epilogue  Problems
 http://library.link/vocab/cover_art
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 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Approximationoflargescaledynamicalsystems/xw_LFhHxLwk/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Approximationoflargescaledynamicalsystems/xw_LFhHxLwk/">Approximation of largescale dynamical systems, Athanasios C. Antoulas, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>