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A Polynomial Approach To Linear Algebra 1996 Edition at Meripustak

A Polynomial Approach To Linear Algebra 1996 Edition

Books from same Author: Paul Abraham Fuhrmann

Books from same Publisher: Springer

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    • General Information  
    Author(s)Paul Abraham Fuhrmann
    PublisherSpringer
    ISBN9780387946436
    Pages393
    BindingPaperback
    LanguageEnglish
    Publish YearJuly 1996

    Description

    Springer A Polynomial Approach To Linear Algebra 1996 Edition by Paul Abraham Fuhrmann

    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 : 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.