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Complex inclusion functions in the CoStLy C++ class library. (English) Zbl 1295.65146

Fukuda, Komei (ed.) et al., Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15581-9/pbk). Lecture Notes in Computer Science 6327, 333-336 (2010).
Summary: The C++ class library CoStLy for the rigorous computation of complex function values or ranges is presented. Rectangular complex interval arithmetic is used for the computations. In the CoStLy procedures, all truncation and roundoff errors are calculated during the course of the floating-point computation and enclosed into the result.
The library contains procedures for root and power functions, the exponential, trigonometric and hyperbolic functions, their inverse functions, and some auxiliary functions, such as the absolute value or the argument function.
For the entire collection see [Zbl 1196.68008].

MSC:

65Y15 Packaged methods for numerical algorithms
30-04 Software, source code, etc. for problems pertaining to functions of a complex variable
65G30 Interval and finite arithmetic
65G50 Roundoff error
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