Descartes' rule of signs

Known as: Descartes' sign rule, Rule of signs, Descartes rule of sign 
In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for determining an upper bound… (More)
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Papers overview

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2017
2017
What can we deduce about the roots of a real polynomial in one variable by simply considering the signs of its coefficients? On… (More)
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2016
2016
We give the first multivariate version of Descartes’ rule of signs to bound the number of positive real roots of a system of… (More)
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2015
2015
In this work, we formally proved Descartes Rule of Signs, which relates the number of positive real roots of a polynomial with… (More)
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2013
2013
Computing the real roots of a polynomial is a fundamental problem of computational algebra. We describe a variant of the… (More)
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2010
2010
A slightly different question is how many positive zeros a polynomial has. Here the basic result is known as “Descartes’ rule of… (More)
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2004
2004
The question of how to construct polynomials having as many roots as allowed by the Descartes rule of signs has been the focus of… (More)
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2004
2004
A real polynomial P(X 1, ... , X n ) sign represents f : A n → {0, 1} if for every (a 1, ... , a n ) ∈ A n , the sign of P(a 1… (More)
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2002
2002
We establish versions of Descartes' rule of signs for radial basis function (RBF) neural networks. The RBF rules of signs provide… (More)
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2002
2002
We establish versions of Descartes' rule of signs for radial basis function (RBF) neural networks. These RBF rules of signs… (More)
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Highly Cited
1976
Highly Cited
1976
Uspensky's 1948 book on the theory of equations presents an algorithm, based on Descartes' rule of signs, for isolating the real… (More)
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