Barycentrická Lagrangeova interpolace a její aplikace

Abstract

In numerical mathematics, the method used for approximating function values on a given interval is called polynomial interpolation. One of its implementations is known as Lagrange interpolation. The goal of this thesis is to learn about the barycentric form of Lagrange interpolation, which provides better computational properties such as stability, flexibility and lesser complexity. This variant can be expanded further with the use of barycentric rational interpolation, which interpolant takes form of a fraction with a polynomial in numerator and denominator.