Ivan Markovsky: Low-Rank Approximation | Buch

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Cover: 9783319896199 | Low-Rank Approximation | Algorithms, Implementation, Applications

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Sprache: Englisch

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Beschreibung

This book is a comprehensive exposition of the theory, algorithms, and applications of structured low-rank approximation. Local optimization methods and effective suboptimal convex relaxations for Toeplitz, Hankel, and Sylvester structured problems are presented. A major part of the text is devoted to application of the theory with a range of applications from systems and control theory to psychometrics being described. Special knowledge of the application fields is not required.

The second edition of /Low-Rank Approximation/ is a thoroughly edited and extensively rewritten revision. It contains new chapters and sections that introduce the topics of:

¿ variable projection for structured low-rank approximation;

¿ missing data estimation;

¿ data-driven filtering and control;

¿ stochastic model representation and identification;

¿ identification of polynomial time-invariant systems; and

¿ blind identification with deterministic input model.

The book is complemented by a software implementation of the methods presented, which makes the theory directly applicable in practice. In particular, all numerical examples in the book are included in demonstration files and can be reproduced by the reader. This gives hands-on experience with the theory and methods detailed. In addition, exercises and MATLAB^® /Octave examples will assist the reader quickly to assimilate the theory on a chapter-by-chapter basis.

¿Each chapter is completed with a new section of exercises to which complete solutions are provided.¿

Low-Rank Approximation (second edition) is a broad survey of the Low-Rank Approximation theory and applications of its field which will be of direct interest to researchers in system identification, control and systems theory, numerical linear algebra and optimization. The supplementary problems and solutions render it suitable for use in teaching graduate courses in those subjects as well.

The second edition of /Low-Rank Approximation/ is a thoroughly edited and extensively rewritten revision. It contains new chapters and sections that introduce the topics of:

¿ variable projection for structured low-rank approximation;

¿ missing data estimation;

¿ data-driven filtering and control;

¿ stochastic model representation and identification;

¿ identification of polynomial time-invariant systems; and

¿ blind identification with deterministic input model.

¿Each chapter is completed with a new section of exercises to which complete solutions are provided.¿

Über den Autor

Ivan Markovsky obtained Ph.D. in Electrical Engineering from the Katholieke Universiteit Leuven in 2005. Since then, he is teaching and doing research in control and system theory at the School of Electronics and Computer Science (ECS) of the University of Southampton and the Department of Fundamental Electricity and Instrumentation (ELEC) of the Vrije Universiteit Brussel, where he is currently an associate processor. His research interests are structured low-rank approximation, system identification, and data-driven control, topics on which he has published 70 peer-reviewed papers, 7 book chapters, and 2 monographs. He is an associate editor of the International Journal of Control and the SIAM Journal of Matrix Analysis and Applications. In 2011, Ivan Markovsky was awarded an ERC starting grant on the topic of structured low-rank approximation.

Zusammenfassung

Provides the reader with an analysis tool which is more generally applicable than the commonly-used total least squares

Shows the reader solutions to the problem of data modelling by linear systems from a sweeping field of applications

Includes supplementary electronic and class-based materials to aid tutors in presenting this material to their students

Inhaltsverzeichnis

Chapter 1. Introduction.- Part I: Linear modeling problems.- Chapter 2. From data to models.- Chapter 3. Exact modelling.- Chapter 4. Approximate modelling.- Part II: Applications and generalizations.- Chapter 5. Applications.- Chapter 6. Data-driven ¿ltering and control.- Chapter 7. Nonlinear modeling problems.- Chapter 8. Dealing with prior knowledge.- Index.

Details

Erscheinungsjahr:	2018
Fachbereich:	Nachrichtentechnik
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	288
Reihe:	Communications and Control Engineering
Inhalt:	xiii 272 S. 4 s/w Illustr. 15 farbige Illustr. 272 p. 19 illus. 15 illus. in color. With online files/update.
ISBN-13:	9783319896199
ISBN-10:	3319896199
Sprache:	Englisch
Herstellernummer:	978-3-319-89619-9
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Markovsky, Ivan
Auflage:	2nd ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG Communications and Control Engineering
Maße:	241 x 160 x 21 mm
Von/Mit:	Ivan Markovsky
Erscheinungsdatum:	17.08.2018
Gewicht:	0,652 kg

preigu-id: 111862979