BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY

Abstract

In this paper we show the construction of a polynomial function of degree n: f(x) given previously a set of n points , which will be fixed points of the function. This study addresses the inverse problem in polynomial case; in the classical sense because it is a priori a function; and hence the study of the existence of fixed points is made. Furthermore the behavior of the fixed points is studied through the analysis of the stability from the use of a parameter.

Keywords

• polynomials
• fixed point
• stability
• attractor
• repellent