A note on the numerical evaluation of arctangent function-Reference-Cited by-同舟云学术

A note on the numerical evaluation of arctangent function

Published:1989-07 Issue:3 Volume:23 Page:8-12
ISSN:0163-5824
Container-title:ACM SIGSAM Bulletin
language:en
Short-container-title:SIGSAM Bull.

Author:

Moritsugu S.,Matsumoto M.

Abstract

This paper describes the problem of selection of an appropriate branch of multiple-valued functions. Real-valued arctangent function over real number filed is considered as an example. It is discussed how to select FORTRAN functions "ATAN" and "ATAN2', and how to evaluate the formula [arctan [EQUATION]. Minute post-conditioning is required for transferring the result of computer algebra to numerical computation.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/74646.74647

Reference9 articles.

1. {Collins82} Collins G. E. Loos R. Real Zeros of Polynomials B. Buchberger et al. (ed.) Computer Algebra Springer-Verlag 83--94 1982. {Collins82} Collins G. E. Loos R. Real Zeros of Polynomials B. Buchberger et al. (ed.) Computer Algebra Springer-Verlag 83--94 1982.

2. {Hearn87} Hearn A. C. REDUCE USER'S MANUAL Version 3.3 The RAND Corporation 1987. {Hearn87} Hearn A. C. REDUCE USER'S MANUAL Version 3.3 The RAND Corporation 1987.

3. Extrapolated boundary element method for three-dimensional inductance calculation

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