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   -> Volume 5, Issue 10


Preprint: Spectral factorization of Laurent polynomials
 
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gppe@tex.unica.it (Giuseppe Rodriguez)
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PostPosted: Wed Nov 20, 1996 12:19 pm    
Subject: Preprint: Spectral factorization of Laurent polynomials
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#3 Preprint: Spectral factorization of Laurent polynomials

Title: Spectral factorization of Laurent polynomials

Authors: Tim N.T. Goodman, Charles A. Micchelli,
Giuseppe Rodriguez and Sebastiano Seatzu

Abstract: We analyse the performance of five numerical methods for
factoring a Laurent polynomial, which is positive on the unit circle,
as the modulus squared of a real algebraic polynomial. It is found
that there is a wide disparity between the methods, and all but one of
the methods are significantly influenced by the variation in magnitude
of the coefficients of the Laurent polynomial, by the closeness of the
zeros of this polynomial to the unit circle, and by the spacing of
these zeros.

Status: To appear in Advances in Computational Mathematics

You can download a copy of this paper from:
http://tex.unica.it/~gppe/lavori/
then click on the title of the paper
ftp://tex.unica.it/pub/papers/facsym.ps

Giuseppe Rodriguez
rodriguez@unica.it
http://tex.unica.it/~gppe
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