Kniha Structured Matrix Based Methods for Approximate Polynomial GCD Paola Boito

Structured Matrix Based Methods for Approximate Polynomial GCD

Autor: Paola Boito
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
616
Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a c...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2011
Stránek
250
EAN
9788876423802
ISBN
887642380X
Enbook ID
01967796
Hmotnost
423
Rozměry
168 x 240 x 25

Kompletní popis

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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