Symbolic-numeric sparse interpolation of multivariate rational functions

Symbolic-Numeric Sparse Interpolation of Multivariate Rational Functions Annie Cuyt Wen-shin Lee a Department of Mathematics and Computer Science, University of Antwerp,Middelheimlaan 1, 2020 Antwerpen, Belgium {annie.cuyt,wen-shin.lee}@ua.ac.be http://www.win.ua.ac.be/~cant http://www.wen-shin.com Consider the problem of sparse interpolation for a black-box multivariate rational function f(x1, . . . , xn) = u(x1, . . . , xn) v(x1, . . . , xn) , (1) in floating point arithmetic, in which both the numerator and denominator