New PDF release: Structured Matrix Based Methods for Approximate Polynomial

By Paola Boito

ISBN-10: 887642380X

ISBN-13: 9788876423802

Defining and computing a maximum universal divisor of 2 polynomials with inexact coefficients is a classical challenge in symbolic-numeric computation. the 1st a part of this e-book stories the most effects which have been proposed to date within the literature. As traditional with polynomial computations, the polynomial GCD challenge might be expressed in matrix shape: the second one a part of the publication specializes in this standpoint and analyses the constitution of the correct matrices, similar to Toeplitz, Toepliz-block and displacement constructions. New algorithms for the computation of approximate polynomial GCD are provided, in addition to huge numerical assessments. using matrix constitution permits, specifically, to decrease the asymptotic computational price from cubic to quadratic order with admire to polynomial degree.

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Structured Matrix Based Methods for Approximate Polynomial GCD: 15 (Publications of the Scuola Normale Superiore) by Paola Boito


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