{"product_id":"time-variant-and-quasi-separable-systems-matrix-theory-recursions-and-computations-hardback-9781009455626","title":"Time-Variant and Quasi-separable Systems; Matrix Theory, Recursions and Computations (Hardback) 9781009455626","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTime-Variant and Quasi-separable Systems\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eMatrix Theory, Recursions and Computations\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eBringing together systems theory, signal processing and numerical computation, this book presents an appealing novel and combined approach.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePatrick Dewilde (Author), Klaus Diepold (Author), Alle-Jan Van der Veen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009455626, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 31 October 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e330 pages\u003cbr\u003e25 x 17.7 x 2.3 cm, 0.735 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'The book develops a connection between linear dynamical systems and computer executed matrix calculus to understand the behavior of a dynamical system as well as efficient computations. It gives, in a unique and novel way, a unified presentation of the crucial results in modern systems theory, scattering theory, and (Schur-type) parametrization\/interpolation. The book offers a systematic but also fully didactical introduction to the unified theory of nest algebras on mathematical side, time-variant systems on system theory, and semi-separable systems on the numerical side.' Jan Zarzycki, Wroclaw University of Science and Technology\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMatrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, discrete-time systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. This book outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Lectures on Basics, with Examples: 1. A first example: optimal quadratic control\u003cbr\u003e 2. Dynamical systems\u003cbr\u003e 3. LTV (quasi-separable) systems\u003cbr\u003e 4. System identification\u003cbr\u003e 5. State equivalence, state reduction\u003cbr\u003e 6. Elementary operations\u003cbr\u003e 7. Inner operators and external factorizations\u003cbr\u003e 8. Inner-outer factorization\u003cbr\u003e 9. The Kalman filter as an application\u003cbr\u003e 10. Polynomial representations\u003cbr\u003e 11. Quasi-separable Moore–Penrose inversion\u003cbr\u003e Part II. Further Contributions to Matrix Theory: 12. LU (spectral) factorization\u003cbr\u003e 13. Matrix Schur interpolation\u003cbr\u003e 14. The scattering picture\u003cbr\u003e 15. Constrained interpolation\u003cbr\u003e 16. Constrained model reduction\u003cbr\u003e 17. Isometric embedding for causal contractions\u003cbr\u003e Appendix. Data model and implementations\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Communications engineering \/ telecommunications [\u003ca title=\"See our other books on Communications engineering \/ telecommunications\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Communications%20engineering%20\/%20telecommunications%20%5BTJK%5D%22\"\u003eTJK\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52414032249112,"sku":"9781009455626","price":61.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009455626i.jpg?v=1784336196","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/time-variant-and-quasi-separable-systems-matrix-theory-recursions-and-computations-hardback-9781009455626","provider":"Freshly Printed Books","version":"1.0","type":"link"}