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» Interpolation of Shifted-Lacunary Polynomials
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TC
2002
13 years 4 months ago
A Deterministic Multivariate Interpolation Algorithm for Small Finite Fields
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields. Given function values at arbitrary t points, we show ...
Zeljko Zilic, Zvonko G. Vranesic
CAP
2010
13 years 4 days 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
CDC
2009
IEEE
168views Control Systems» more  CDC 2009»
13 years 10 months ago
Balanced state-space representations: a polynomial algebraic approach
Abstract— We show how to compute a minimal Riccatibalanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly...
Paolo Rapisarda, Harry L. Trentelman
DCC
2002
IEEE
14 years 4 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
NA
2007
70views more  NA 2007»
13 years 4 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