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Sturm sequences and the number of zeros of a real polynomial in the unit disk: Numerical computation

โœ Scribed by B. Gleyse

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
229 KB
Volume
10
Category
Article
ISSN
0893-9659

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Algebraic computation of the number of z
Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation
โœ B. Gleyse; A. Larabi; M. Moflih ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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