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Computation of the Smith normal form of polynomial matrices
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents
Kiev, Ukraine
Pages: 209 - 217  
Year of Publication: 1993
ISBN:0-89791-604-2
Author
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SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 6,   Downloads (12 Months): 35,   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.

 
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M.A. Frumkin. Polynomial time algorithms in the theory of linear diophantine equations. In Fundamentals of Computatzon Theory, pages 386-392. LNCS 56, Springer, New-York, 1977.
 
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F.R. Gantmacher. Thdorie des matrices. Dunod, Paris, France, 1966.
 
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M. Kaminski and A. Paz. Computing the Hermite normal form on an integer matrice. Technical Report 1986, Computer Science Dpt., TECHNION Israel Institute of Technology, June 1986.
 
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R. Kannan. Solving systems of linear equations over polynomials. Theoretical Computer Science, 39:69-88, 1985.
 
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R. Kannan and A. Bachem. Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix. SIAM J. Comput., 8 4, pp 499-507, 1979.
 
15
S.E. Labhalla, H. Lombardi, and R. Marlin. Algorithmes de calcul de la rSduction d'Hermite d'une matrice h coefficients polynomiaux. In Comptes. Rendus de MEGA92, Nice, France. Birkhauser, 1992. Submitted to JSC.
 
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S.E. Labhalla, H. Lombardi, and R. Marlin. A1- gorithmes modulaires de calcul des rdductions d'Hermite et de Smith. Manuscript, April 1992.
 
17
M.A. Laidacker. Another theorem relating Sylvester's matrix and the greatest common divisor. Mathematics Magazine, 42:126-128, 1969.
 
18
M. Newman. Integral Matmces. Academic Press, 1972.
 
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