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» Pseudozero Set of Real Multivariate Polynomials
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MICS
2007
57views more  MICS 2007»
13 years 4 months ago
Pseudozero Set of Real Multivariate Polynomials
The pseudozero set of a system P of polynomials in n variables is the subset of Cn consisting of the union of the zeros of all polynomial systems Q that are near to P in a suitable...
Stef Graillat
SAC
2006
ACM
13 years 11 months ago
Pseudozero set of interval polynomials
Interval polynomials are useful to describe perturbed polynomials. We present a graphical tool to describe how perturbations of the polynomial coefficients affect its zeros witho...
Stef Graillat, Philippe Langlois
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 5 months ago
On sign conditions over real multivariate polynomials
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a fami...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
AISC
2008
Springer
13 years 7 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
13 years 11 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang