An algorithm for an eigenvalues problem in the Earth rotation theory
type: Item
instance of: scholarly article
title: An algorithm for an eigenvalues problem in the Earth rotation theory
zbMATH Open document ID: 0945.65058
DOI: 10.1016/S0377-0427(98)00230-1
author: Ana-Belén González
author: Juan Getino
author: J. M. Farto
published in: Journal of Computational and Applied Mathematics
publication date: 2000-09-21T00:00:00Z
review text: 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.
reviewed by: Iulian Coroian
Mathematics Subject Classification ID: 65H17
Mathematics Subject Classification ID: 86A17
zbMATH DE Number: 1331094
zbMATH Keywords: implicit function
zbMATH Keywords: polynomial equation
zbMATH Keywords: algorithm
zbMATH Keywords: eigenvalues
zbMATH Keywords: Hamiltonian theory
zbMATH Keywords: rotation of the non-rigid Earth
zbMATH Keywords: Newton-Puiseux polygon
zbMATH Keywords: computational complexity
MaRDI profile type: Publication
cites work: On the Ramification of Algebraic Functions
cites work: Multiplicity of the solutions of a differential polynomial
cites work: An algorithm for the systematic construction of solutions to perturbed problems
cites work: On the effect of the mantle elasticity on the Earth's rotation
cites work: The rotation of a non-rigid, non-symmetrical Earth. I: Free nutations
cites work: Q3287734
cites work: The Abhyankar-Jung theorem revisited
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description: scientific article; zbMATH DE number 1331094