Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Complex gamma function with error control

Complex gamma function with error control An algorithm to compute the gamma function and the loggamma function of a complex variable is presented. The standard algorithm is modified in several respects to insure the continuity of the function value and to reduce accumulation of round-off errors. In addition to computation of function values, this algorithm includes an object-time estimation of round-off errors. Experimental data with regard to the effectiveness of this error control are presented. A Fortran program for the algorithm appears in the algorithms section of this issue. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications of the ACM Association for Computing Machinery

Complex gamma function with error control

Communications of the ACM , Volume 15 (4) – Apr 1, 1972

Loading next page...
 
/lp/association-for-computing-machinery/complex-gamma-function-with-error-control-qvFvW7IZKS

References (5)

Publisher
Association for Computing Machinery
Copyright
Copyright © 1972 by ACM Inc.
ISSN
0001-0782
DOI
10.1145/361284.361296
Publisher site
See Article on Publisher Site

Abstract

An algorithm to compute the gamma function and the loggamma function of a complex variable is presented. The standard algorithm is modified in several respects to insure the continuity of the function value and to reduce accumulation of round-off errors. In addition to computation of function values, this algorithm includes an object-time estimation of round-off errors. Experimental data with regard to the effectiveness of this error control are presented. A Fortran program for the algorithm appears in the algorithms section of this issue.

Journal

Communications of the ACMAssociation for Computing Machinery

Published: Apr 1, 1972

There are no references for this article.