Structured matrix based methods for approximate polynomial GCD: 15 (Tesi) - Tapa blanda

Boito, Paola

 
9788876423802: Structured matrix based methods for approximate polynomial GCD: 15 (Tesi)
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ISBN 10: 887642380X ISBN 13: 9788876423802
Editorial: Scuola Normale Superiore, 2011

Sinopsis

Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation.

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De la contraportada

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.

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Editorial
Scuola Normale Superiore
Año de publicación
2011
Idioma
Inglés
ISBN 10 
887642380X
ISBN 13 
9788876423802
Encuadernación
Tapa blanda
Número de páginas
193
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

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