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Titlebook: A Polynomial Approach to Linear Algebra; Paul A. Fuhrmann Textbook 19961st edition Springer Science+Business Media New York 1996 algebra.a

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期刊全稱(chēng)A Polynomial Approach to Linear Algebra
影響因子2023Paul A. Fuhrmann
視頻videohttp://file.papertrans.cn/142/141738/141738.mp4
學(xué)科分類(lèi)Universitext
圖書(shū)封面Titlebook: A Polynomial Approach to Linear Algebra;  Paul A. Fuhrmann Textbook 19961st edition Springer Science+Business Media New York 1996 algebra.a
影響因子.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.
Pindex Textbook 19961st edition
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