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Zero counting for a class of univariate Pfaffian functions

We present a new procedure to count the number of real zeros of a class of univariate Pfaffian functions of order $1$. The procedure is based on the construction of Sturm sequences for these functions and relies on an oracle for sign determination. In the particular case of $E$-polynomials, we design an oracle-free effective algorithm solving this task within exponential complexity. In addition, we give an explicit upper bound for the absolute value of the real zeros of an $E$-polynomial.

preprint2016arXivOpen access
María Laura BarbagalloGabriela JeronimoJuan Sabia
math.AG
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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María Laura BarbagalloGabriela JeronimoJuan Sabia

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