A polynomial approach to linear algebra
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 becom...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Édition: | 2nd ed. 2012. |
| Collection: | Universitext
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| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 25 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A polynomial approach to linear algebra, Paul A. Fuhrmann, 2nd edition, 2012, New York, Springer, 1 vol. (XVI-411 p.), Universitext, 978-1-4614-0337-1 • A polynomial approach to linear algebra, Paul A. Fuhrmann, 2nd edition, 2012, New York, Springer, 1 vol. (XVI-411 p.), Universitext, 978-1-4614-0337-1 • A Polynomial Approach to Linear Algebra, Texte imprimé, 9781461403395 |
| Résumé: | 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. This new edition has been updated throughout, in particular new sections have been added on rational interpolation, interpolation using H functions, and tensor products of models. Review from first edition: the approach pursued by the author is of unconventional beauty and the material covered by the book is unique. (Mathematical Reviews, A. Böttcher) |
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| Description: | Description d'après consultation du 25 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. p. 403-405. Index |
| ISBN: | 9781461403388 |
| ISSN: | 2191-6675 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |