Interpolation and Polynomials

In this chapter, we will discuss the polynomials and interpolation topics, which are very useful tools to describe and evaluate different data sets. During the chapter, the expressions in MATLAB® to properly declare a polynomial and their operators will be discussed; on the other hand, the purpose of interpolation is to obtain discrete data from known data sets and thus to be able to estimate functional values between these points. During the chapter, how polynomial expressions are managed in MATLAB®, the numerical methods to realize linear interpolation, interpolation with power series, Lagrange interpolation, how to calculate the error in the interpolation methods, the integration and differentiation of the Lagrange interpolation polynomial, the Chebyshev Legendre interpolation polynomial, Hermite interpolation, and two-dimensional interpolation methods are discussed.