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This brief paper introduces an algorithm for smooth interpolation of a
multivariate function. The input data for the algorithm consists of a set of function
values and derivatives up to order r on a...
Let K denote an algebraically closed field. We study the relation between an ideal I in K[x1,...,xn] and its cross sections I_a=I+. In particular, we study under what conditions I can be recover...
Bilinear complexity of algebras and the Chudnovsky-Chudnovsky interpolation method
Bilinear complexity of algebras Chudnovsky-Chudnovsky interpolation method Computational Complexity
2011/9/29
Abstract: We give new improvements to the Chudnovsky-Chudnovsky method that provides upper bounds on the bilinear complexity of multiplication in extensions of finite fields through interpolation on a...