{"product_id":"approximation-of-large-scale-dynamical-systems-paperback-softback-9780898716580","title":"Approximation of Large-Scale Dynamical Systems (Paperback \/ softback) 9780898716580","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eApproximation of Large-Scale Dynamical Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eApproximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAthanasios C. Antoulas (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898716580, Society for Industrial and Applied Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 25 June 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e510 pages\u003cbr\u003e25.3 x 17.4 x 2.4 cm, 0.89 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… this book contains a wealth of useful information and is the most authoritative presentation of the approximation techniques for large-scale dynamical systems available at the moment. The book is highly recommended to graduate students and researchers in the fields of system and control theory, and numerical analysis.' Petko Petkov, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMathematical 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Part I. Introduction: 1. Introduction\u003cbr\u003e 2. Motivating examples\u003cbr\u003e Part II. Preliminaries: 3. Tools from matrix theory\u003cbr\u003e 4. Linear dynamical systems, Part 1\u003cbr\u003e 5. Linear dynamical systems, Part 2\u003cbr\u003e 6. Sylvester and Lyapunov equations\u003cbr\u003e Part III. SVD-based Approximation Methods: 7. Balancing and balanced approximations\u003cbr\u003e 8. Hankel-norm approximation\u003cbr\u003e 9. Special topics in SVD-based approximation methods\u003cbr\u003e Part IV. Krylov-based Approximation Methods: 10. Eigenvalue computations\u003cbr\u003e 11. Model reduction using Krylov methods\u003cbr\u003e Part V. SVD-Krylov Methods and Case Studies: 12. SVD-Krylov methods\u003cbr\u003e 13. Case studies\u003cbr\u003e 14. Epilogue\u003cbr\u003e 15. Problems\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Nonlinear science [\u003ca title=\"See our other books on Nonlinear science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Nonlinear%20science%20%5BPBWR%5D%22\"\u003ePBWR\u003c\/a\u003e], Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Brand New","offer_id":52509178921240,"sku":"9780898716580","price":83.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898715293.jpg?v=1786496291","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/approximation-of-large-scale-dynamical-systems-paperback-softback-9780898716580","provider":"Freshly Printed Books","version":"1.0","type":"link"}