Abstract
More and more novice users are starting to use interval extensions to programming languages and interval-based applications. An important question then is: What is the most simple and natural form to input and output intervals? This paper points out conceptual and practical difficulties encountered when interfacing end-users with intervals. A new interval formatting scheme is then proposed. It has been implemented in a commercial interval extension to Microsoft Excel spreadsheet program targeted to non-expert users.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aberth, O. (1998). Precise numerical method using C++. New York: Academic Press.
Blomquist, F. (1997) Pascal-XSC BCD-Version 1. 0. Institut für Angewandte Mathematik. Karlsruhe, Germany: Universität Karlsruhe (TH).
Home page of BNR Prolog: www.als.com/als/clpbnr/clp_info.html.
Chiriaev, D., Walster W. (1998). Fortran 77 Interval Arithmetic Specification. www.mscs.mu.eduRilobsol/apers/spec.ps.
Hansen, E. (1992). Global Optimization Using Interval Analysis. New York: Marcel Dekker.
Hyvönen, E., De Pascale, S. (1996). Interval Computations on the Spreadsheet. In [10], 169–210.
Hyvönen E., De Pascale, S. (1999). A New Basis for Spreadsheet Computing: Interval Solver for Microsoft Excel. Proceedings of AAAI99/IAAI99, 799–806. Menlo Park, California: American Association for AI.
Interval Arithmetic Programming Reference (2000). Sun WorkShop 6 Fortran 95. Palo Alto: Sun Microsystems inc.
Kearfott, B. (1996). Rigorous Global Search: Continuous Problems. New York: Kluwer.
Kearfott, B., Kreinovich, V. (eds.) (1996). Applications of Interval Computations. New York: Kluwer.
Klatte, R., Kulisch, U., Neaga, M., Ratz, D. (1992). Pascal — XSC Language Reference with Examples. New York: Springer-Verlag.
Klatte, R., Kulisch, U., Wiethoff, A., Lawo, C., Rauch, M. (1993). C-XSC—A C++ Class Library for Extended Scientific Computing. New York: Springer-Verlag.
M77 Reference Manual, Minnesota Fortran 1977 Standards Version, Edition 1 ( 1983 ). Minneapolis, Minnesota: University of Minnesota.
Moore, R. (1996). Interval Analysis. Englewood Cliffs, N.J.: Prentice-Hall.
Home page of Prolog IA software (2000): http://prologianet.univ-mrs.fr/Us.
Semenov, A. (1996). Solving optimization problems with help of the UniCalc solver. In [10], 211–214.
Schulte, M., Zelov, V., Walster W., Chiriaev, D. (1997). Single-number interval I/O. In: Developments in Reliable Computing. New York: Kluwer.
Walster, W. (1988). Philosophy and practicalities of interval analysis. In: Moore, R. (ed.). Reliability in computing, 309–323. New York: Academic Press.
Van Hentenryck, P., Michel, L., Deville, Y. (1997). Numerica. A Modeling Language for Global Optimization. Cambridge: The MIT Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hyvönen, E. (2001). Interval Input and Output. In: Krämer, W., von Gudenberg, J.W. (eds) Scientific Computing, Validated Numerics, Interval Methods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6484-0_4
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6484-0_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3376-8
Online ISBN: 978-1-4757-6484-0
eBook Packages: Springer Book Archive