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A Polynomial Approach to Linear Algebra (Universitext)

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A Polynomial Approach to Linear Algebra (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

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

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.

About the Author

Paul Fuhrmann is a Professor in the Department of Mathematics at Ben-Gurion University of the Negev.

Table of Contents

Preliminaries.- Linear Spaces.- Determinants.- Linear Transformations.- The Shift Operator.- Structure Theory of Linear Transformations.- Inner Product Spaces.- Quadratic Forms.- Stability.- Elements of System Theory.- Hankel Norm Approximation.

Product Details

ISBN:
9781461403371
Author:
Fuhrmann, Paul A.
Publisher:
Springer
Author:
Fuhrmann, Paul
Subject:
Algebra - Linear
Subject:
Elements of Model reduction
Subject:
Linear Algebra
Subject:
rational interpolation
Subject:
Tensor products and models
Subject:
Linear and Multilinear Algebras, Matrix Theory
Subject:
Systems Theory, Control
Subject:
Calculus of Variations and Optimal Control; Optimization
Subject:
Mathematics-Linear Algebra
Copyright:
Edition Description:
2nded. 2012
Series:
Universitext
Publication Date:
20111006
Binding:
TRADE PAPER
Language:
English
Pages:
427
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Systems Theory

A Polynomial Approach to Linear Algebra (Universitext) New Trade Paper
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$82.75 In Stock
Product details 427 pages Springer - English 9781461403371 Reviews:
"Synopsis" by , 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.
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