Universitext

A Polynomial Approach to Linear Algebra

Authors: Fuhrmann, Paul A.

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About this Textbook

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.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4419-8734-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
A Polynomial Approach to Linear Algebra
Authors
Series Title
Universitext
Copyright
1996
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4419-8734-1
DOI
10.1007/978-1-4419-8734-1
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIII, 361
Number of Illustrations
1 b/w illustrations
Topics