An algorithm for determining the radii of convergence of algebraic power series
Algebraic Geometry
2013-05-07 v2 Commutative Algebra
Abstract
This paper describes an algorithm for determining radii of convergence of power expansions for algebraic functions and the testing done to check it. Since the current methods for computing these series are iterative, standard methods for computing radii of convergence cannot in general, be used. However, relying on geometric properties of algebraic functions, convergence radii of these series can be determined precisely.
Keywords
Cite
@article{arxiv.1305.0489,
title = {An algorithm for determining the radii of convergence of algebraic power series},
author = {Dominic C. Milioto},
journal= {arXiv preprint arXiv:1305.0489},
year = {2013}
}
Comments
17 pages, 4 figures, specified f(z,w) irreducible over Q and corrected definitions of z_c and z_d