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math.AC2011
Finite Sets of Affine Points with Unique Associated Monomial Order Quotient Bases
Zhe Li, Shugong Zhang, Tian Dong
The quotient bases for zero-dimensional ideals are often of interest in the investigation of multivariate polynomial interpolation, algebraic coding theory, and computational molec…
math.AC2010
Bivariate Quasi-Tower Sets and Their Associated Lagrange Interpolation Bases
Tian Dong, Xiaoying Wang, Shugong Zhang +1
As we all known, there is still a long way for us to solve arbitrary multivariate Lagrange interpolation in theory. Nevertheless, it is well accepted that theories about Lagrange i…
math.AC2010★ 1 cited
A Bivariate Preprocessing Paradigm for Buchberger-Möller Algorithm
Xiaoying Wang, Shugong Zhang, Tian Dong
For the last almost three decades, since the famous Buchberger-Möller(BM) algorithm emerged, there has been wide interest in vanishing ideals of points and associated interpolation…