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Topic:
Numerical computation of chebyshev polynomial coefficients
Replies:
8
Last Post:
Oct 19, 2000 6:29 AM




Re: Numerical computation of chebyshev polynomial coefficients
Posted:
Oct 19, 2000 6:29 AM


A reference for this topic is Abramowitz Handbook of mathematical functions. I wrote programs that tabulate the tables below. They seem to check with the Handbook   Coefficients for the Chebyshev Polynomials tn(x) every other one has sign reversed as tabulated in Abramowitz  Handbook of Mathematical functions TABLEC 6 0 1 1 2 1 2 8 8 1 3 32 48 18 1 4 128 256 160 32 1 5 512 1280 1120 400 50 1 6 2048 6144 6912 3584 840 72 1 X 6 5 4 3 2 1 0 1 TABLE 6 * show location of ROOTS 1 .000000 1.000000 2 .000000 .500000 1.000000 3 .000000 .250000 .750000 1.000000 4 .000000 .146447 .500000 .853553 1.000000 5 .000000 .095492 .345492 .654508 .904508 1.000000 6 .000000 .066987 .250000 .500000 .750000 .933013 1.0 2 TABLE 6 * show location of MAX 1 .500000 2 .146447 .853553 3 .066987 .500000 .933013 4 .038060 .308658 .691342 .961940 5 .024472 .206107 .500000 .793893 .975528 6 .017037 .146447 .370590 .629410 .853553 .982963 Evaluate polynomial T2 for x squared Table 22.4 for T6 for x squared x= .2 .4 .6 .8 0.354752 119071 0.752192 0.752192 * REF IS NBS BUL 55 EDITOR ABRAMOWITZ page 795 ch 22




