Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/29005
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: A new algorithm for sparse interpolation of multivariate polynomials
Author(s): Cuyt, Annie
Lee, Wen-shin
Contact Email: wen-shin.lee@stir.ac.uk
Keywords: Black box polynomial
Symbolic–numeric sparse interpolation
qd-algorithm
Generalized eigenvalue
Hadamard polynomial
Early termination
Issue Date: 17-Dec-2008
Citation: Cuyt A & Lee W (2008) A new algorithm for sparse interpolation of multivariate polynomials. Theoretical Computer Science, 409 (2), pp. 180-185. https://doi.org/10.1016/j.tcs.2008.09.002
Abstract: To reconstruct a black box multivariate sparse polynomial from its floating point evaluations, the existing algorithms need to know upper bounds for both the number of terms in the polynomial and the partial degree in each of the variables. Here we present a new technique, based on Rutishauser’s qd-algorithm, in which we overcome both drawbacks.
DOI Link: 10.1016/j.tcs.2008.09.002
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