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Asymptotic-group analysis of algebraic equations. (English) Zbl 1075.65072

Summary: Both the method of asymptotic analysis and the theory of extension group are applied to study the Descartes equation. The proposed algorithm allows to obtain various variants of simplification and can be easily generalized to their algebraic and differential equations.

MSC:

65H05 Numerical computation of solutions to single equations
52B70 Polyhedral manifolds
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
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