A Polynomial Approach to Linear Algebra (Universitext) - Tapa blanda

Fuhrmann, Paul Abraham

 
9780387946436: A Polynomial Approach to Linear Algebra (Universitext)
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ISBN 10: 0387946438 ISBN 13: 9780387946436
Editorial: Springer-Verlag New York Inc., 2008

Sinopsis

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.

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Reseña del editor

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag New York Inc.
Año de publicación
2008
Idioma
Inglés
ISBN 10 
0387946438
ISBN 13 
9780387946436
Encuadernación
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Número de páginas
393
Contacto del fabricante
no disponible
Persona responsable
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Otras ediciones populares con el mismo título

9781461403395: A Polynomial Approach to Linear Algebra

Edición Destacada

ISBN 10:  1461403391 ISBN 13:  9781461403395
Editorial: Springer, 2011
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