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Interval arithmetic on computers. (English) Zbl 0810.65040

Herzberger, Jürgen, Topics in validated computations. Proceedings of the IMACS-GAMM international workshop, Oldenburg, Germany, 30 August - 3 September 1993. Amsterdam: Elsevier. Stud. Comput. Math. 5, 473-497 (1994).
Summary: In numerical algorithms interval data arise from tolerances of input data and the inclusion of rounding errors during execution on a computer. Consequently, interval methods are mostly designed for handling these effects and providing guaranteed results. This paper reports the latest possibilities to implement interval algorithms and illustrates restrictions found on different machines and well-known programming languages. Some language features of Pascal-XSC representative for language extensions supporting interval arithmetic are discussed in depth. Powerful languages like Ada, Fortran 90, and C++ allow the development of interval packages or class libraries for scientific computation. As an example of the latter, we shall discuss some interesting details of C-XSC.
For the entire collection see [Zbl 0803.00016].

MSC:

65G30 Interval and finite arithmetic
65Y15 Packaged methods for numerical algorithms

Software:

C-XSC; PASCAL-XSC
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