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 and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, time-discrete 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.

Product details

• Authors: Patrick Dewilde, Patrick (Technische Universitat Munchen) Dewilde, Klaus Diepold, Klaus (Technische Universitat Munchen) Diepold, Diepold Klaus, Alle-Jan Van der Veen, Alle-Jan (Technische Universiteit Delft Van der Veen, Alle-Jan Van Der Veen
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.06.2024
• EAN: 9781009455626
• ISBN: 978-1-0-0945562-6
• No. of pages: 330
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; Software Engineering, COMPUTERS / Computer Science, COMPUTERS / Software Development & Engineering / General, MATHEMATICS / Differential Equations / General, COMPUTERS / Networking / General, TECHNOLOGY & ENGINEERING / Electrical, Electrical Engineering, Differential calculus & equations, Information technology: general issues, Computer networking & communications, Applied computing, Differential calculus and equations, For graduate / post-graduate and equivalents, Computer networking and communications, systems theory; computation; numerical methods