Polinomios Ortogonales en las Aproximaciones Discretas por Mínimos Cuadrados - Programa Orthpolyfit

Abstract

1. Mathematical bases-Is considered the problem of approximating a function whose values, in a points sequence, they are known in empirical form and consecuently they are subject to inherent mistakes. The objective is to approximate the function f(x) by a linear combination of {φj{x)} j = 0, ... ,M.
Using the principle of the minimal square is solved the normal equations system.
With polynomials approximations and in the cases in wich φ jx = xj or φ jx = P j(x) being P j(x) any polynomial of degree j exist analytical and computational problems. They are solved making use of orthogonal polynomials.
2. Software development-The program OrthPolyFit accomplishes regression in orthogonal polynomials function. 3. Examples- Are presented examples of different cases. It is observed the typical desviations sequence.