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DAGSTUHL
2006
13 years 9 months ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
14 years 1 months ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
CAP
2010
13 years 2 months ago
Parallel sparse polynomial interpolation over finite fields
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 1 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
TIT
2008
121views more  TIT 2008»
13 years 7 months ago
Stability Results for Random Sampling of Sparse Trigonometric Polynomials
Recently, it has been observed that a sparse trigonometric polynomial, i.e. having only a small number of non-zero coefficients, can be reconstructed exactly from a small number o...
Holger Rauhut