Complex Inclusion Functions in the CoStLy C++ Class Library

  • Markus Neher
Conference paper

DOI: 10.1007/978-3-642-15582-6_53

Part of the Lecture Notes in Computer Science book series (LNCS, volume 6327)
Cite this paper as:
Neher M. (2010) Complex Inclusion Functions in the CoStLy C++ Class Library. In: Fukuda K., Hoeven J..., Joswig M., Takayama N. (eds) Mathematical Software – ICMS 2010. ICMS 2010. Lecture Notes in Computer Science, vol 6327. Springer, Berlin, Heidelberg

Abstract

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.

Keywords

Interval Arithmetic Complex Standard Functions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Markus Neher
    • 1
  1. 1.Institute for Applied and Numerical MathematicsKarlsruhe Institute of TechnologyKarlsruheGermany

Personalised recommendations