Time-variant and quasi-separable systems: matrix theory, recursions and computations
Matrix 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 an...
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2025
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| Links: | https://doi.org/10.1017/9781009455640 |
| Zusammenfassung: | Matrix 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. |
| Umfang: | 1 Online-Ressource (xxiv, 306 Seiten) |
| ISBN: | 9781009455640 |
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| spelling | Dewilde, Patrick Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen Cambridge Cambridge University Press 2025 1 Online-Ressource (xxiv, 306 Seiten) txt c cr Matrix 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. Diepold, Klaus Veen, Alle-Jan van der Erscheint auch als Druck-Ausgabe 9781009455626 |
| spellingShingle | Dewilde, Patrick Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title | Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title_auth | Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title_exact_search | Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title_full | Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| title_fullStr | Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| title_full_unstemmed | Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| title_short | Time-variant and quasi-separable systems |
| title_sort | time variant and quasi separable systems matrix theory recursions and computations |
| title_sub | matrix theory, recursions and computations |
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