Systems of Non-linear Equations, Polynomial Interpolation

This lecture covers the topics of systems of non-linear equations and polynomial interpolation. It starts by discussing the Newton method for systems of equations and error control. Then, it delves into the fixed-point method of high order and its application to Newton's method. The lecture also explores the construction of interpolating polynomials using the Vandermonde matrix, emphasizing the importance of data interpolation and function approximation.