KIAM Main page Web Library  •  Publication Searh  Русский 

KIAM Preprint № 34, Moscow, 2017
Authors: Bruno A. D.
Solving the polynomial equations by algorithms of power geometry
New methods for computation of solutions of an algebraic equation of three variables near a critical point are proposed. These methods are: Newton polyhedron, power transformations, new versions of the implicit function theorem and uniformization of a planar algebraic curve. We begin from a survey of the new methods of computation of solutions of an algebraic equation of one and of two variables by means of the Hadamard polygon and Hadamard polyhedron. That approach works for differential equations (ordinary and partial) as well.
convex polyhedron, face, algebraic equation, uniformization
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 6 (-2), total hit from 01.09.2019 — 420
About authors:
  • Bruno Alexander Dmitrievich, RAS