Geometry of Polynomials and Numerical Analysis

摘要

The purpose of this paper is to demonstrate the potential of a fruitful collaboration between Numerical Analysis and Geometry of Polynomials. This is natural as the polynomials are still a very important instrument in Numerical Analysis, regardless many new instruments as splines, wavelets and others. On the other hand, the Numerical Analysis through computers is a powerful instrument for experimentation in almost every mathematical discipline.