Shamrovskii, A. D.; Andrianov, I. V.; Awrejcewicz, J. Asymptotic-group analysis of algebraic equations. (English) Zbl 1075.65072 Math. Probl. Eng. 2004, No. 5, 411-451 (2004). 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. Cited in 1 Document MSC: 65H05 Numerical computation of solutions to single equations 52B70 Polyhedral manifolds 20G20 Linear algebraic groups over the reals, the complexes, the quaternions Keywords:asymptotic analysis; extension group; Descartes equation; algorithm PDFBibTeX XMLCite \textit{A. D. Shamrovskii} et al., Math. Probl. Eng. 2004, No. 5, 411--451 (2004; Zbl 1075.65072) Full Text: DOI EuDML