Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



An algorithm for computing logarithms and arctangents

Author: B. C. Carlson
Journal: Math. Comp. 26 (1972), 543-549
MSC: Primary 65D20
MathSciNet review: 0307438
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An iterative algorithm with fast convergence can be used to compute logarithms, inverse circular functions, or inverse hyperbolic functions according to the choice of initial conditions. Only rational operations and square roots are required. The method consists in adding an auxiliary recurrence relation to Borchardt’s algorithm to speed the convergence.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65D20

Retrieve articles in all journals with MSC: 65D20

Additional Information

Keywords: Logarithms, arctangents, iteration, Borchardt’s algorithm, inverse circular functions, inverse hyperbolic functions, acceleration of convergence
Article copyright: © Copyright 1972 American Mathematical Society