Methods in numerical analysis. Includes: Lagrange interpolation, Chebyshev polynomials for optimal node spacing, iterative techniques to solve linear systems (Gauss-Seidel, Jacobi, SOR), SVD, PCA, and ...

Abstract: This paper presents several modifications of the decoding algorithm for Reed Solomon codes based upon Lagrange Interpolation. One modification reduces the average number of candidate code ...

In this paper, we discuss the average errors of multivariate Lagrange interpolation based on the Chebyshev nodes of the first kind. The average errors of the interpolation sequence are determined on ...

Abstract: Lagrange interpolation is widely used in signal processing; however, high-order interpolation is affected by Runge phenomenon and the inflexible basis function construction. In this paper, ...