Portable vectorized software for Bessel function evaluation

ABSTRACT

A suite of computer programs for the evaluation of Bessel functions and modified Bessel functions of orders zero and one for a vector of real arguments is described. Distinguishing characteristics of these programs are that (a) they are portable across a wide range of machines, and (b) they are vectorized in the case when multiple function evaluations are to be performed. The performance of the new programs are compared with software from the FNLIB collection of Fullerton on which the new software is based.

REFERENCES

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INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.2 Approximation
          Subjects: Chebyshev approximation and theory

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.0 General
          Subjects: Parallel algorithms
  G.4 MATHEMATICAL SOFTWARE
      Subjects: Efficiency; Algorithm design and analysis; Portability**

General Terms:
Algorithms, Performance

Keywords:
Bessel function, hyperbolic Bessel function, mathematical software, modified Bessel function, order zero and one, portable software, special function, vectorized software