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Exact Computation of Polynomial Zeros Expressible by Square Roots

✍ Scribed by Timo von Oertzen

Publisher
Springer
Year
2006
Tongue
English
Weight
210 KB
Volume
46
Category
Article
ISSN
0178-4617

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Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation
✍ B. Gleyse; A. Larabi; M. Moflih πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 224 KB

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 operation