%0 Book %1 citeulike:12798938 %A Antoulas, Athanasios C. %B Advances in Design and Control %D 2005 %I Society for Industrial and Applied Mathematics %K 93a30-systems-theory-mathematical-modeling 00a71-theory-of-mathematical-modeling 15a18-eigenvalues-singular-values-and-eigenvectors 47f05-partial-differential-operators %R 10.1137/1.9780898718713 %T Approximation of Large-Scale Dynamical Systems %U http://dx.doi.org/10.1137/1.9780898718713 %X 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. %@ 978-0-89871-529-3

@book{citeulike:12798938, abstract = {{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.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Antoulas, Athanasios C.}, biburl = {https://www.bibsonomy.org/bibtex/292bd03a94391cc61ac630f1a3fa761b6/gdmcbain}, citeulike-article-id = {12798938}, citeulike-linkout-0 = {http://dx.doi.org/10.1137/1.9780898718713}, doi = {10.1137/1.9780898718713}, interhash = {d3acb8c1a82cad3fd40e010e321b0be3}, intrahash = {92bd03a94391cc61ac630f1a3fa761b6}, isbn = {978-0-89871-529-3}, keywords = {93a30-systems-theory-mathematical-modeling 00a71-theory-of-mathematical-modeling 15a18-eigenvalues-singular-values-and-eigenvectors 47f05-partial-differential-operators}, month = jan, posted-at = {2015-09-07 05:56:00}, priority = {2}, publisher = {Society for Industrial and Applied Mathematics}, series = {Advances in Design and Control}, timestamp = {2021-02-18T04:31:41.000+0100}, title = {{Approximation of Large-Scale Dynamical Systems}}, url = {http://dx.doi.org/10.1137/1.9780898718713}, year = 2005 }