Recursive computation of certain derivatives&a study of error propagation

Author:

Gautschi Walter1,Klein Bruce J.2

Affiliation:

1. Purdue Univ., Lafayette, IN

2. Virginia Polytechnic Institute, Blacksburg

Abstract

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

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Expansions of the exponential integral in incomplete gamma functions;Applied Mathematics Letters;2003-10

2. A fast algorithm to compute the moments of the exponential function for application to semiconductor modelling;COMPEL - The international journal for computation and mathematics in electrical and electronic engineering;1997-03-01

3. Rational approximations, software and test methods for sine and cosine integrals;Numerical Algorithms;1996-09

4. Algorithm 715: SPECFUN–a portable FORTRAN package of special function routines and test drivers;ACM Transactions on Mathematical Software;1993-03

5. Numerical evaluation of airy functions with complex arguments;Journal of Computational Physics;1992-03

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