Structured matrix based methods for approximate polynomial GCD: 15 - Brossura

Boito, Paola

 
9788876423802: Structured matrix based methods for approximate polynomial GCD: 15
Brossura
ISBN 10: 887642380X ISBN 13: 9788876423802
Casa editrice: Scuola Normale Superiore, 2011

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Scuola Normale Superiore
Data di pubblicazione
2011
Lingua
Inglese
ISBN 10 
887642380X
ISBN 13 
9788876423802
Rilegatura
Copertina flessibile
Numero di pagine
193
Contatto del produttore
Springer-Verlag GmbH
customerservice@springernature.com

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