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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…
math.AC2010
A Two-Dimensional Improvement for Farr-Gao Algorithm
Tian Dong
Farr-Gao algorithm is a state-of-the-art algorithm for reduced Gröbner bases of vanishing ideals of finite points, which has been implemented in Maple as a build-in com…