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Recursive computation of certain derivatives&a study of error propagation
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Communications of the ACM archive
Volume 13 ,  Issue 1  (January 1970) table of contents
Pages: 7 - 9  
Year of Publication: 1970
ISSN:0001-0782
Authors
Walter Gautschi  Purdue Univ., Lafayette, IN
Bruce J. Klein  Virginia Polytechnic Institute, Blacksburg
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 7,   Downloads (12 Months): 18,   Citation Count: 6
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

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ABSTRACT

A brief study is made of the propagation of errors in linear first-order difference equations. The recursive computation of successive derivatives of ex/x and (cos x)/x is considered as an llustration.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

1
Walter Gautschi, Recursive Computation of Certain Integrals, Journal of the ACM (JACM), v.8 n.1, p.21-40, Jan. 1961  [doi>10.1145/321052.321054]
2
Walter Gautschi, Algorithm 282: Derivatives of ex/x, cos (x)/x, AND sin (x)/x, Communications of the ACM, v.9 n.4, p.272, April 1966  [doi>10.1145/365278.365519]
 
3
--. Computational aspects of three-term recurrence relations. SIAM Rev. 9 (1967), 24-82.
 
4
KOTANI, M., ET AL. Tables of molecular integrals. Maruzen Co., Tokyo, 1963.
 
5
MATUSKA, WALTER, JR. Personal communications 1967.
 
6
PREUSS, H. Integraltafeln zur Quantenchemie. Springer, Berlin, 1956.

CITED BY  6
Walter Gautschi , Bruce J. Klein, Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/x, Communications of the ACM, v.13 n.1, p.53-54, Jan. 1970
Andrew Y. Schoene, Remark on “Algorithm 435: Modified Incomplete Gamma Function [S14]”, ACM Transactions on Mathematical Software (TOMS), v.4 n.3, p.296-304, Sept. 1978
J. K. S. McKay, Algorithm 371: Partitions in natural order [A1], Communications of the ACM, v.13 n.1, p.52, Jan. 1970
W. J. Cody , L. Stoltz, The use of Taylor series to test accuracy of function programs, ACM Transactions on Mathematical Software (TOMS), v.17 n.1, p.55-63, March 1991
W. J. Cody, Algorithm 715; SPECFUN—a portable FORTRAN package of special function routines and test drivers, ACM Transactions on Mathematical Software (TOMS), v.19 n.1, p.22-30, March 1993
J. N. Lyness , G. Sande, Algorithm 413: ENTCAF and ENTCRE: evaluation of normalized Taylor coefficients of an analytic function, Communications of the ACM, v.14 n.10, p.669-675, Oct. 1971

INDEX TERMS

Keywords:
error propagation, recursive computation, successive derivatives

Collaborative Colleagues:
Walter Gautschi: colleagues
Bruce J. Klein: colleagues

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