Abstract
After a short presentation of the paradigms of object oriented programming and interval arithmetic the languages C++ and Java are treated in more detail. Language features are regarded with respect to their support for the definition or application of interval arithmetic. In the final section the 4 libraries Profil/BIAS, C-XSC, filib++ as well as Sun Forte C++ are compared with respect to functionality and efficiency.
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References
Artigas, P.V., et al.: High Performance Numerical Computing in Java: Language and Compiler Issues. In: Proceedings of the 12’th Workshop on Language and Compilers for Parallel Computers, San Diego, CA, August 4-6 (1999)
Bliek, C., et al.: Algorithms for Solving Nonlinear Constrained and Optimization Problems: The State of the Art, http://solon.cma.univie.ac.at/~neum/glopt/coconut/StArt.html
Hammer, R., et al.: C++ Toolbox for Verified Computing. Springer, Berlin (1995)
Kearfott, R.B.: Rigorous Global Search: Continuous Problems. Kluwer Academic Publishers, Dordrecht (1996)
Klatte, R., et al.: PASCAL– XSC — Language Reference with Examples. Springer, Heidelberg (1992)
Lerch, M., Wolff v. Gudenberg, J.: Expression Templates for Dot Product Expressions. In: Proceedings of Interval 1998, Reliable Computing, vol. 5(1), pp. 69–80 (1999)
Rump, S.M.: Self-validating methods. Linear Algebra and its Applications (LAA) 324, 3–13 (2001)
Walster, G.W., et al.: Practical Exception-free Interval Arithmetic on the Extended Reals. Sun Microsystems, white paper (August 2001)
Walster, G.W., et al.: Extended Real Intervals and the Topological Closure of Extended Real Relations. Sun Microsystems, white paper (March 2002), http://wwws.sun.com/software/sundev/whitepapers/index.html
Veldhuizen, T.: Expression Templates. C++ Report 7(5) (1995)
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© 2004 Springer-Verlag Berlin Heidelberg
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von Gudenberg, J.W. (2004). OOP and Interval Arithmetic – Language Support and Libraries. In: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds) Numerical Software with Result Verification. Lecture Notes in Computer Science, vol 2991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24738-8_1
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DOI: https://doi.org/10.1007/978-3-540-24738-8_1
Publisher Name: Springer, Berlin, Heidelberg
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