Algebraic Solution of Systems of Polynomial Equations Using Groebner Bases
نویسندگان
چکیده
منابع مشابه
GROEBNER: A Package for Calculating Gröbner Bases, Version 3.0
Gröbner bases are a valuable tool for solving problems in connection with multivariate polynomials, such as solving systems of algebraic equations and analyzing polynomial ideals. For a definition of Gröbner bases, a survey of possible applications and further references, see [6]. Examples are given in [5], in [7] and also in the test file for this package. The Groebner package calculates Gröbn...
متن کاملA Numerical Approach for Solving of Two-Dimensional Linear Fredholm Integral Equations with Boubaker Polynomial Bases
In this paper, a new collocation method, which is based on Boubaker polynomials, is introduced for the approximate solutions of a class of two-dimensional linear Fredholm integral equationsof the second kind. The properties of two-dimensional Boubaker functions are presented. The fundamental matrices of integration with the collocation points are utilized to reduce the solution of the integral ...
متن کاملAn Application of Groebner Bases to Planarity of Intersection of Surfaces
In this paper we use Groebner bases theory with the purpose to determine planarity of intersections of two algebraic surfaces in R. There are specially considered plane sections of a type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid. 1. THE BASIC CONCEPT OF GROEBNER BASES Many problems in mat...
متن کاملDetermining “small parameters” for quasi-steady state
For a parameter-dependent system of ordinary differential equations we present a systematic approach to the determination of parameter values near which singular perturbation scenarios (in the sense of Tikhonov and Fenichel) arise. We call these special values Tikhonov parameter values. The principal application we intend is to equations that describe chemical reactions, in the context of quasi...
متن کامل