Recursive computation of certain derivatives&a study of error propagation

Authors:
Walter Gautschi;Bruce J. Klein
Affiliations:
Purdue Univ., Lafayette, IN;Virginia Polytechnic Institute, Blacksburg
Venue:
Communications of the ACM
Year:
1970

Citing 2
Cited 6

Recursive Computation of Certain Integrals

Journal of the ACM (JACM)
Algorithm 282: Derivatives of ex/x, cos (x)/x, AND sin (x)/x

Communications of the ACM

The use of Taylor series to test accuracy of function programs

ACM Transactions on Mathematical Software (TOMS)
Algorithm 715: SPECFUN–a portable FORTRAN package of special function routines and test drivers

ACM Transactions on Mathematical Software (TOMS)
Remark on “Algorithm 435: Modified Incomplete Gamma Function [S14]”

ACM Transactions on Mathematical Software (TOMS)
Algorithm 371: Partitions in natural order [A1]

Communications of the ACM
Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/x

Communications of the ACM
Algorithm 413: ENTCAF and ENTCRE: evaluation of normalized Taylor coefficients of an analytic function

Communications of the ACM

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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.