Accession Number:

ADA071947

Title:

A Combined Remes - Differential Correction Algorithm for Rational Approximation: Experimental Results.

Descriptive Note:

Interim rept.,

Corporate Author:

COLORADO STATE UNIV FORT COLLINS DEPT OF MATHEMATICS

Personal Author(s):

• Kaufman,E. H. , Jr.
• Leeming,D. J.
• Taylor,G. D.

Report Date:

1979-03-01

Pagination or Media Count:

16.0

Abstract:

A numerical study is done comparing three algorithms for computing best rational approximations using the uniform Chebyshev norm. The experimental results and theoretical considerations indicate that the Remes-difcor algorithm is superior as a general-purpose routine to both the widely-used Remes algorithm and the differential correction algorithm. The three algorithms are briefly described and discussed, and the experimental results for 70 examples are presented in six tables. Author

Descriptors:

• *ALGORITHMS
• *APPROXIMATION(MATHEMATICS)
• COMPARISON
• CANADA
• CONVERGENCE
• NUMERICAL METHODS AND PROCEDURES
• SET THEORY
• CHEBYSHEV APPROXIMATIONS
• CORRECTIONS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE