Division of Entire Functions by Polynomial Ideals

Authors: 
Apel, Joachim
Year: 
1995
Language: 
English
Abstract: 
In [ASTW] it was given a Gröbner reduction based division formula for entire functions by polynomial ideals. Here we give degree bounds where the input function can be truncated in order to compute approximations of the coefficients of the power series appearing in the division formula within a given precision. In addition, this method can be applied to the approximation of the value of the remainder function at some point.
Appeared / Erschienen in: 
Proc. AAECC - 11, Lecture Notes in Computer Science 948 (1995), S. 82-95
Pubdate / Erscheinungsdatum: 
1995
Pages / Seitenanzahl: 
14
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