On solution of an algebraic equation

A. D. Bruno


Abstract: The methods for computation of solutions of an algebraic equation of three variables 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 known methods of computation of solutions of an algebraic equation of two variables and introduce the Hadamard polyhedron as a new method for that

Keywords: convex polyhedron, face, algebraic equation, uniformization.

UDC: 517.55

DOI: 10.20948/prepr-2016-70