On the convergence of an algorithm for rational Chebyshev approximation
By: by Richard Franke
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1973
Place of publication: Monterey, California
Language: eng
Number of pages: 20
Subjects: Chebyshev approximation
Description: 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. (
Notes: Title from cover.

"November 1973"--Cover.

"NPS-53Fe73111A"--Cover.

DTIC Identifiers: Chebyshev approximations.

Author key words: Rational approximation, Chebyshev approximation, stability, M-matrices.

Includes bibliographical references (p. 15)

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1973.

ck/ 8/19/09.