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Více informací o knize Structured Matrix Based Methods for Approximate Polynomial GCD

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Algebra

• Plný název: Structured Matrix Based Methods for Approximate Polynomial GCD
• Autor: Paola Boito
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 250
• EAN: 9788876423802
• ISBN: 887642380X
• ID: 01967796
• Nakladatelství: Birkhauser Verlag AG
• Hmotnost: 423 g
• Rozměry: 240 × 168 × 25 mm
• Datum vydání: 12. July 2011

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