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Simplication of symbolic-numerical interval expressions
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Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents
Rostock, Germany
Pages: 207 - 214  
Year of Publication: 1998
ISBN:1-58113-002-3
Authors
E. D. Popova  Inst. of Mathematics & Comp. Sci., Bulgarian Academy of Sciences, Acad. G. Bonchev str., block 8, BG-1113 Sofia, Bulgaria
C. P. Ullrich  Institute for Informatics, University of Basel, Mittlere Str. 142, CH-4056 Basel, Switzerland
Sponsors
German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 20,   Citation Count: 1
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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.

 
1
Alefeld, G.; Herzberger, J.: Interval Analysis. Academic Press, 1981.
 
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Colmerauer, A.: Specifications of Prolog IV, 1996.
 
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Connell, A. E.; Corless, R. M.: An Experimental Interval Arithmetic Package in Maple. Interval Computations, No. 2, 1993, pp. 120-134.
 
7
Gardefies, E.; Trepat, A.: Fundamentals of SIGLA, an Interval Computing System over the Completed Set of Intervals. Computing, 24, 1980, pp. 161-179.
 
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Hyv5nen, E.; De Pascale, S.; Lehtola, A.: Interval Constraint Programming in C++. In Mayoh, B.; Tyugu, E.; Penham, J. (Eds.): Constraint Programming. NATO Advanceed Science Institute, Series F, Springer, 1994.
 
10
Kahan, W. M.: A More Complete Interval Arithmetic. Lecture Notes for a Summer Course at the University of Michigan, 1968.
 
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Kaucher, E.: Interval Analysis in the Extended Interval Space IR. Computing Suppl. 2, 1980, pp. 33-49.
 
12
Keiper, J. B.: Interval Arithmetic in Mathematica. Interval Computations, No. 3, 1993, pp. 76-87.
 
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Keiper, J. B.: Interval Computation. In Major New Features in Mathematica Version 2.2. Technical Report, Wolfram Research, 1993, pp. 20-23.
 
14
Krandick, W.: Isolierung reeller Nullstellen yon Polynomen. In Herzberger, J. (Ed.): Wissenschaftliches Rechnen. Akademie Verlag, 1995, pp. 105-154.
 
15
Markov, S. M.: On the Algebra of Intervals and Convex Bodies. J. UCS 4, 1, Springer, 1998, pp. 34- 47. (http://www.iicm.edu/jucs_ 4_ 1)
 
16
Moore, R. E.: Interval Analysis. Prentice Hall, Englewood Cliffs, N. J., 1966.
 
17
Ortolf, H.-J.: Eine Verallgemeinerung der Intervallarithmetik. Gesellschaft fiir Mathematik und Datenverarbeitung, Bonn, 11, 1969, pp. 1-71.
 
18
Popova, E. D.: Generalized Interval Distributive Relations. Preprint No 2, Institute of Mathematics & Computer Science, BAS, February 1997, pp. 1-18.
 
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Popova, E. D.: Algebraic Solutions to a Class of Interval Equations. J. UCS 4, 1, Springer, 1998, pp. 48-67.
 
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Popova, E. D.; Ullrich, C. P.: Directed Interval Arithmetic in Mathematica: Implementation and Applications. TR 96-3, Univ. Basel, 1996, pp. 1-56. (htt p://www, mat h. acad. bg/- ep op ova / direct ed. ht ml)
 
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Popova, E. D.; Ullrich, C. P.: Generalising BIAS Specification. J. UCS 3, 1, Springer, 1997, pp. 23-41.
 
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Collaborative Colleagues:
E. D. Popova: colleagues
C. P. Ullrich: colleagues