Abstract
We consider the problem of interpolating sparse multivariate polynomials from their values. We discuss two algorithms for sparse interpolation, one due to Ben-Or and Tiwari (1988) and the other due to Zippel (1988). We present efficient algorithms for finding the rank of certain special Toeplitz systems arising in the Ben-Or and Tiwari algorithm and for solving transposed Vandermonde systems of equations, the use of which greatly improves the time complexities of the two interpolation algorithms.
Cite
CITATION STYLE
Kaltofen, E., & Yagati, L. (1989). Improved sparse multivariate polynomial interpolation algorithms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 358 LNCS, pp. 467–474). Springer Verlag. https://doi.org/10.1007/3-540-51084-2_44
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