Algorithm 385: Exponential integral Ei(x) [S13]

Communications of the ACM

Volumn 13, Issue 7, 1970, Pages 446-447

  Paciorek, Kathleen A ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

exponential integral; rational Chebyshev approximation; special functions

Indexed keywords

EID: 84976842025     PISSN: 00010782     EISSN: 15577317     Source Type: Journal    
DOI: 10.1145/362686.362696     Document Type: Article

References (12)

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2. Cody, W. J., and Thacher, Henry C., Jr. Chebyshev approximations for the exponential integral Ei(x). Math. Comp. 23 (Apr. 1969), 289-303.
3. Cody, W. J., and Thacher, Henry C., Jr. Rational chebyshev approximations for the exponential integral El(x). Math. Comp. 12 (July 1968), 641-649.
4. Rice, J. R. On the conditioning of polynomial and rational forms. Numer. Math. 7 (1965), 426-435.
5. Bradley, G. H. Algorithm and bound for the greatest common divisor of n integers. Comm. ACM 13 (July 1970), 433-436.
6. Clenshaw, C. W., Miller, G. F., and Woodger, M. Algorithms for special functions I. Numer. Math. 4 (1963), 403-419.
7. IBM System/360 Scientific Subroutine Package (360A-CM-03X) Version III Programmer's Manual. 1968, pp. 368-369.
8. Clenshaw, C. W. Chebyshev series for mathematical functions. NPL Math. Tables, Vol. 5, Dept. of Scien, and Indus. Res., H.M.S.O., London, 1962.
9. Cody, W. J., and Thacher, H. C., Jr. Chebyshev approximations for the exponential integral Ei(x), Math. Comp. 23 (Apr. 1969), 289-303.
10. Hart, et al. Computer Approximations. Wiley, New York, 1968.
11. ANSI standard FORTRAN (ANSI X3:9-1966), American National Standards Institute, New York, 1966.
12. FORTRAN vs. Basic FORTRAN, Comm. ACM 7 (oct. 1964), 591-625.