An algorithm for an eigenvalues problem in the Earth rotation theory (Q1300812)

The authors describe an algorithm for constructing approximately the implicit function defined by a polynomial equation. Geometrically spoken, the authors present an algorithm to parameterize some kind of hypersurfaces. This algorithm extends the Newton-Puiseux polygon based algorithm for plane curves. Some examples from the Earth rotation theory are presented. The computational complexity of the algorithm is converted into a very difficult task. The paper has a descriptive style: no definitions, no theorems.