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» On interpolation by radial polynomials
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DAGSTUHL
2006
13 years 10 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
DCC
2002
IEEE
14 years 8 months ago
Polynomial Interpolation of the Discrete Logarithm
Recently, Coppersmith and Shparlinski proved several results on the interpolation of the discrete logarithm in the finite prime field Fp by polynomials modulo p and modulo p -1, re...
Arne Winterhof
COMBINATORICS
2000
142views more  COMBINATORICS 2000»
13 years 8 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
Alexei Borodin, Grigori Olshanski
NA
2007
70views more  NA 2007»
13 years 8 months ago
Multivariate polynomial interpolation: conjectures concerning GC-sets
GC-sets are subsets T of Rd of cardinality dim Πn for which, for each τ ∈ T, there are n hyperplanes whose union contains all of T except for τ, thus making interpolation to a...
Carl de Boor
ICIP
2000
IEEE
14 years 10 months ago
Complete Parametrization of Piecewise Polynomial Interpolators According to Degree, Support, Regularity, and Order
The most essential ingredient of interpolation is its basis function. We have shown in previous papers that this basis need not be necessarily interpolating to achieve good result...
Michael Unser, Philippe Thévenaz, Thierry B...