Structured Matrix Based Methods for Approximate Polynomial GCD (Paperback)

Language: English

Published by Birkhauser Verlag AG, Pisa, 2011

887642380X / 9788876423802

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Paperback. Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. New algorithms for the computation of approximate polynomial GCD are presented, along with extensive numerical tests. The use of matrix structure allows, in particular, to lower the asymptotic computational cost from cubic to quadratic order with respect to polynomial degree. Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Title
Structured Matrix Based Methods for Approximate Polynomial GCD (Paperback)
Author
Paola Boito
Publisher
Birkhauser Verlag AG, Pisa
Publication year
2011
Condition
new
Binding
Paperback
Language
English
ISBN 10
887642380X
ISBN 13
9788876423802

Grand Eagle Retail

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