Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation (Q628241)
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scientific article; zbMATH DE number 5864262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation |
scientific article; zbMATH DE number 5864262 |
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Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation (English)
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10 March 2011
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The authors present an algorithm to compute the number of zeros of a complex polynomial inside the unit disk. Using the Schur-Cohn and Brown transforms they recursively associate to the given polynomial a sequence of polynomials and consider the number of sign changes in the sequence of their values at zero.
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polynomials
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root-counting method and Brown transform
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Schur-Cohn subtransform
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