\input zb-basic
\input zb-ioport
\iteman{io-port 06104434}
\itemau{Kr\"amer, Walter; Blomquist, Frithjof}
\itemti{Arbitrary precision complex interval computations in C-XSC.}
\itemso{Wyrzykowski, Roman (ed.) et al., Parallel processing and applied mathematics. 9th international conference, PPAM 2011, Torun, Poland, September 11--14, 2011. Revised selected papers, Part II. Berlin: Springer (ISBN 978-3-642-31499-5/pbk). Lecture Notes in Computer Science 7204, 457-466 (2012).}
\itemab
Summary: Based on the libraries MPFR and MPFI for arbitrary precision real and arbitrary precision real interval computations and corresponding interfaces to the C++ class library C-XSC, the new data type MpfciClass (multiple precision floating-point complex intervals) and corresponding operations/functions for arbitrary precision complex intervals have been implemented. Our new package allows to code mathematical expressions for the complex interval data type in their usual mathematical notation yielding easy to read and self-documenting source code. Meanwhile, more than 30 elementary mathematical functions have been realized. At any point of the program the user may change the precision setting of the computation. The maximum precision of complex interval variables is only restricted by memory limitations. Its exponent range is very large. To the knowledge of the authors there is no comparable package (with respect to the features provided) available worldwide. The new package is written in C++. It is freely available from \url{http://www2.math.uni-wuppertal.de/org/WRST/xsc/cxscsoftware.html}.
\itemrv{~}
\itemcc{}
\itemut{arbitrary precision; complex intervals; complex interval functions; C-XSC; MPFR; MPFI; reliable computations}
\itemli{doi:10.1007/978-3-642-31500-8\_47}
\end