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An algorithm for an eigenvalues problem in the Earth rotation theory

✍ Scribed by Ana B. González; Juan Getino; JoséM. Farto

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
580 KB
Volume
101
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we present a new algorithm to parameterize some kind of hypersurfaces. Our technique extends the Newton-Puiseux algorithm for plane curves to several variables. It is based on the introduction of an order in the monomials of several variables compatible with the total degree and in a recursive construction of a sequence of convex-hulls together with a tree search. We have developed this algorithm to determine the free frequencies (appearing as eigenvalues of a certain matrix) of realistic non-rigid Earth rotation models. We have implemented the algorithm in a Maple V package called ~oli3e'ar. (~) 1999 Elsevier Science B.V. All rights reserved.

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