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Precise computation using range arithmetic, via C++
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 18 ,  Issue 4  (December 1992) table of contents
Pages: 481 - 491  
Year of Publication: 1992
ISSN:0098-3500
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Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 1,   Downloads (12 Months): 34,   Citation Count: 4
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ABSTRACT

An arithmetic is described that can replace floating-point arithmetic for programming tasks requiring assured accuracy. A general explanation is given of how the arithmetic is constructed with C++, and a programming example in this language is supplied. Times for solving representative problems are presented.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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ABERTIt, O. Preczse Numerwa! Analyszs. Wm. C. Brown Publishers, Dubuque, Iowa, 1988.
 
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AUERTH, O. Precise solution of differential equations using range arithmetic. In Proceed~ng-s of the lSth World Congress on Computation and Applied Mathemattcs, R. Vichnevetsky and J. J. H. Miller, Eds. IMACS, Dublin, Ireland, 1991, pp. 67-68.
 
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HmL, I. D. Procedures for the basic arithmetical operations in multlple-length working. Comput. J. 11 (1968), 232-235.
 
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HULL, T. E., AND COHEN, M.S. Toward an ideal computer arithmetic. In Proceedings of the 8th Symposium on Computer Arzthmetic, M. J. Irwin and R. Stafanelli, Eds. IEEE Computer Society, Los Angeles, Calif., 1987, pp. 131 138.
 
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MOORE, R.E. The automatic analysis and control of error in digital computation based on the use of interval numbers. In Error ~n Dtg~tal Computation, vol. 1, L B. Rall, Ed. Wiley, New York, 1965.
 
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MOORE, R.E. Interval Analysis. Prentice-Hall, Englewood Cliffs, N.J., 1966.
 
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Collaborative Colleagues:
Oliver Aberth: colleagues
Mark J. Schaefer: colleagues