Jacobi, Gegenbauer, Chebyshev of first, second, third, fourth kind, Legendre, Laguerre, Hermite, shifted Chebyshev and Legendre polynomials using MATLAB. Rodrigues' formula. Orthogonal polynomials can ...
Abstract: This paper presents Levinson (1947)-type algorithms for (i) polynomial fitting (ii) obtaining a Q decomposition of Vandermonde matrices and a Cholesky factorization of Hankel matrices (iii) ...
Abstract: Identifying the roots of a polynomial is one of the standard tasks of numerical methods, which is often used in the analysis of system stability, regulation, etc. The presented article ...
A new nonparametric regression technique is proposed which involves the extension of local polynomial fitting to the empirical likelihood context, where the ...