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Computation of rational product approximations

✍ Scribed by Jackson N. Henry

Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
448 KB
Volume
10
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

Let F be a continuous real‐valued function defined on [βˆ’1, 1] Γ— [βˆ’1,1]. For purposes of simplifaction in some numerical processes, one may desire to have an approximation of the function F. We present a known method of approximation called the best rational product approximation. When developing this approximation to F, certain types of discontinuities may arise. We develop a slight variation of a known technique to overcome such discontinuities. With this modified technique, it is then possible to develop a computer program to compute the approximation of F. A brief discussion of this program is presented along with some of the results which we have obtained.

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