Vandermonde systems on Gauss–Lobatto Chebyshev nodes
Copyright policy )Vandermonde systems on Gauss–Lobatto Chebyshev nodes
Methods for factorization of the inverses of the Vandermonde matrices on Gauss-Lobatto Chebyshev nodes are presented and an algorithm for solving the primal and the dual system is given. Asymptotic estimates of the Frobenius norm of both the Vandermonde matrix and its inverse and an explicit formula for its determinant are derived. Results of numerical experiments aimed at the investigation the accuracy of the proposed factorization are given. The paper ends with a MATLAB code as an Appendix.
- University of Calabria Italy
algorithm, conditioning, Numerical interpolation, polynomial interpolation, inverses, Other matrix algorithms, Packaged methods for numerical algorithms, Vandermonde matrices, determinant, numerical experiments, MATLAB code
algorithm, conditioning, Numerical interpolation, polynomial interpolation, inverses, Other matrix algorithms, Packaged methods for numerical algorithms, Vandermonde matrices, determinant, numerical experiments, MATLAB code
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