Several issues in vectorizing the codes are discussed in detail, and the speed of the new codes is compared to that of the original FNLIB by running both sets of codes on several different computers. The Bessel functions are approximated by truncated Chebyshev expansions, which are evaluated using the well-known Clenshaw recurrence relation. The authors' new package of vectorized FORTRAN codes for the evaluation of Bessel functions, named VFNLIB, is a further development of Wayne Fullerton's FNLIB package. Addison- Wesley, Redwood City, Calif., 1988. Mothematica, A System for Doing Mathematics by Computer. SFUN/LIBRARY: FORTRAN Subroutines for Evaluating Special Functions. In Portab~hty of Numerical Software, Vol.
#REDWOOD EDU MATH 120 PORTABLE#
Algorithm 528: Framework for a portable library. Chebyshev Polynomials in Numerical Analysis. Distribution of mathematical software via electronic mail. Performance of various computers using standard linear equations software. Algorithm 692: Model implementation and test package for the sparse basic linear algebra subprograms. CONVEX VECLIB User's Guide, third ed., Richardson, Tex., Oct. A note on the summation of Chebyshev series.
In Sources and Development of Mathematical Software, W. GovernmenL Printing Office, Washington, D.C., 1964. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.
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