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Computingxmmodp(x)and an Application to Splitting a Polynomial Into Factors Over a Fixed Disc

✍ Scribed by VICTOR Y. PAN

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 414 KB
Volume: 22
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.1996.0057

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✦ Synopsis

Koenig's theorem is a well-known basis for fast splitting a polynomial into factors over a fixed disc in the complex plane. We simplify the computation of such factors by means of its reduction to solving a banded triangular Toeplitz linear system of equations. The technique used may be of some interest in its own right, in particular, due to its possible extension to computing a power modulo a polynomial.