Articles liés à A Polynomial Approach to Linear Algebra: Second Edition
A Polynomial Approach to Linear Algebra: Second Edition - Couverture souple
Livre 93 sur 261: Universitext
Synopsis
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^{\nfty} functions, and tensor products of models.
Review from first edition:
“…the approach pursed by the author is of unconventional beauty and the material covered by the book is unique.” (Mathematical Reviews)
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l'auteur
Paul Fuhrmann is a Professor in the Department of Mathematics at Ben-Gurion University of the Negev.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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A Polynomial Approach to Linear Algebra (eng)
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A Polynomial Approach to Linear Algebra
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A Polynomial Approach to Linear Algebra
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Springer New York Nov 2011, 2011
ISBN 10 : 1461403375
ISBN 13 : 9781461403371
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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^{nfty} functions, and tensor products of models.Review from first edition:'.the approach pursed by the author is of unconventional beauty and the material covered by the book is unique.' (Mathematical Reviews) 428 pp. Englisch. N° de réf. du vendeur 9781461403371
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Polynomial Approach to Linear Algebra
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A Polynomial Approach to Linear Algebra
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Many additions including Rational interpolation, interpolation using H^{nfty} functions and tensor products and models (scalar case) Almost 100 new pages added Allows the reader to access ideas and results on the frontier of current researc. N° de réf. du vendeur 4196794
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A Polynomial Approach to Linear Algebra
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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^{fty} functions, and tensor products of models.Review from first edition:'.the approach pursed by the author is of unconventional beauty and the material covered by the book is unique.' (Mathematical Reviews). N° de réf. du vendeur 9781461403371
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A Polynomial Approach to Linear Algebra
Edité par
Springer, Springer Nov 2011, 2011
ISBN 10 : 1461403375
ISBN 13 : 9781461403371
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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^{fty} functions, and tensor products of models.Review from first edition:¿¿the approach pursed by the author is of unconventional beauty and the material covered by the book is unique.¿ (Mathematical Reviews)Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 428 pp. Englisch. N° de réf. du vendeur 9781461403371
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A Polynomial Approach to Linear Algebra
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