✦ LIBER ✦

Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation

✍ Scribed by B. Gleyse; A. Larabi; M. Moflih

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 224 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.11.018

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✦ Synopsis

We present a general method for the exact computation of the number of zeros of a complex polynomial inside the unit disk, assuming that the polynomial does not vanish on the unit circle. We prove the existence of a polynomial sequence. This sequence involves a reduced number of arithmetic operations and the growth of intermediate coefficients remains controlled. We study the singular case where the constant term of a polynomial of this sequence vanishes.

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