On the Convergence of an Algorithm for Rational Chebyshev Approximation.
Abstract
An algorithm for rational Chebyshev approximation based on computing the zeros of the error curve was investigated. At each iteration the proposed zeros are corrected by changing them toward the abscissa of the adjacent extreme of largest magnitude. The algorithm is formulated as a numerical solution of a certain system of ordinary differential equations. Convergence is obtained by showing the system is asymptotically stable at the zeros of the best approximation. With an adequate initial guess, the algorithm has never failed for functions which have a standard error curve. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1973
- Accession Number
- AD0770125
Entities
People
- Richard Franke
Organizations
- Naval Postgraduate School