Solving polynomial systems
type: Item
instance of: scholarly article
title: Solving polynomial systems
zbMATH Open document ID: 0637.65047
DOI: 10.1007/BF03023953
author: Tien-Yien Li
published in: The Mathematical Intelligencer
publication date: 1987-01-01T00:00:00Z
review text: The paper presents a short but very essential review of the main ideas on the homotopy continuation method of solving polynomial systems by means of reducing them to some Cauchy problem for a corresponding system of ordinary differential equations. Starting from a simple example the author discusses all the possible difficulties in the application of the method, especially so-called deficient polynomial systems. One of the more general results on the subject - the theorem on `random product homotopy' is formulated and its application to finding of equilibrium points of the four-dimensional Lorenz attractor is presented.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 4039143
zbMATH Keywords: homotopy continuation method
zbMATH Keywords: polynomial systems
zbMATH Keywords: Cauchy problem
zbMATH Keywords: random product homotopy
zbMATH Keywords: four-dimensional Lorenz attractor
describes a project that uses: EISPACK
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4039143