Numerical Methods with Programming

We previously encountered Legendre and Laguerre polynomials. Chebyshev polynomials are another family of orthogonal polynomials which is useful in numerical methods, especially for interpolation. One of their attractive features is that there is a simple explicit formula for their roots and extrema, in contrast to the other orthogonal polynomials that we studied. These polynomials are important tools for interpolation and approximation of functions.