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Counting solutions to linear and nonlinear constraints through Ehrhart polynomials: applications to analyze and transform scientific programs
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Source International Conference on Supercomputing archive
Proceedings of the 10th international conference on Supercomputing table of contents
Philadelphia, Pennsylvania, United States
Pages: 278 - 285  
Year of Publication: 1996
ISBN:0-89791-803-7
Author
Philippe Clauss  ICPS, Université Louis Pasteur, Strasbourg, Pôle API, Bd Sébastien Brant, 67400 Illkirch, France
Sponsor
SIGARCH: ACM Special Interest Group on Computer Architecture
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 4,   Downloads (12 Months): 21,   Citation Count: 31
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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
A. I. Barvinok. A polynomial-time algorithm for counting integral points in polyhedra when the dimension is fixed. In Proc. of the $Jth Syrup. on the Foundations of Computer Science (FOCS'9$), pages 566-572. IEEE Computer Society Press, New York, 1993.
 
2
A. I. Barvinok. Computing the Ehrhart Polynomial of a Convex Lattice Polytope. Discrete Comput. Geom., 12:35-48,1994.
 
3
Ph. Clauss. The volume of a lattice polyhedron to enumerate processors and parallelism. Research Report ICPS 95-11, Submitted to publication, 1995. http://icps, u-strasbg, fr/pub-95/pub-95-11, ps. gz
 
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E. Ehrhart. Sur les poly~dres rationnels homothdtiques n dimensions. C.R. Acad. Sci. Paris, 254:616-618, 1962.
 
6
E. Ehrhart. Sur un probl~me de gdomdtrie diophantienne lin~aire I. J. Re~ne Angew. Math., 226:1-29, 1967.
 
7
E. Ehrhart. Sur un probl~me de g~om~trie diophantienne lindaire II. J. Reine Angew. Math., 227:25-49, 1967.
 
8
E. Ehrhart. Polynt~mes arithm~tiques et M~thode des Poly~dres en Uombznatoire. International Series of Numerical Mathematics, vol.35, Birkh~iuser Verlag, Basel/Stuttgart, 1977.
 
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P.M. Gruber and C.G. Lekkerkerker. Geometry of Numbers. North-Holland, Amsterdam, 1987.
 
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M. Haghighat and C. Polychronopoulos. Symbolic analysis: A basis for parallelization, optimization and scheduling of programs. Technical Report 1317, CSRD, Univ. of Illinois, Aug. 1993.
 
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V. Loechner and D. K. Wilde. Parameterized polyhedra and their vertices. Research Report ICPS 95-16, Submitted to publication, 1995. http://lops, u-strasbg, fr/pub-95/pub-95-16, ps. gz
 
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I. G. Macdonald. The volume of a lattice polyhedron. Proc. Camb. Phil. Soc., 59:719-726, 1963.
 
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I. G. Macdonald. Polynomials associated with finite cell-complexes. J. London Math. Soc., 4(2):181-192, 1971.
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R. P. Stanley. Combinatorics and Commutative Algebra. Birkh~iuser, Boston, 1983.
 
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23
D. K. Wilde. A library for doing polyhedral operation~. Master's thesis, Oregon State Univ., Corvallis, Oregon, december 1993. Also published as IRISA technical report PI 785, Rennes, France, dec. 1993.

CITED BY  31