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On multiple zeros of systems of algebraic equations
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1999 international symposium on Symbolic and algebraic computation table of contents
Vancouver, British Columbia, Canada
Pages: 23 - 30  
Year of Publication: 1999
ISBN:1-58113-073-2
Authors
Schuichi Moritsugu  University of Library and Information Science, Tsukuba, Ibaraki, 305-8550, Japan
Kazuko Kuriyama  National Center for Science Information Systems, Bunkyo, Tokyo 112-8640, Japan
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
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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
AUZINGER, W.. AND STETTER, H. J. An Elimination Algorithnl for the Computation of All Zeros of a System of Multivariate Polynomial Equations. In Numerical Mathematics Singapore 1988 (1988), vol. 86 of Intern, ational Series of Numerical Mathematics, Pl). 11--30.
 
2
BUCHBERGER, B. Ein Algorithmus zum Auffinden dcr Basiselemertte des Restklassenringes nach einem nulldimensionalen Polynomideal. PAD thesis. Universitfit hmsbruck, 1965.
 
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BUCHBEr{GER, B. Ein Algorithmisches Kriterium fiir (tie LSsbarkeit eines algebraischen Gleichungssystems. Acquationcs Mathematicae 4, 3 (1970), 374-383.
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C,c)x, D., LITTLE, Z., AND O'SIIEA: D. Using Algebraic Geometry. Springer, 1998.
 
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GEI.FAND, I. M., KAPRANOV, 1~,I. ~':I., AND ZELEVIN- SKY. A. V. Discriminants, Resultants and Multidimensional Determinants. Birklrgltser, 1994.
 
9
KiN. T.. ANI) IRl, M. Jordan Normal Form. Unix:. of Tokyo Press, 1982. (in Japanese').
 
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LAZARI), D. Alg~bre lin~aire sur K{x~,x.2,...,x,} et c~limination. Bull.Sot.Math.France 105, 2 (1977), 165.. 190.
 
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LAZARD, D. R~solution des syst~mes d'dquations a.lg~.briques. Theor. Comp.Sci. 15 (1981), 77-110.
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MORI'VSUGU, S., AND KUll.IYAMA, K. A Linear Algebra Mettlod tbr Solving Sy.,stelns of Algebraic E.q~lations. RISC-Linz Report Series 97-35, RISC-Linz, 1997. (ht t t)://www, l'isc, uni-linz, ac. a t/library/).
 
17
STWr:I'ER, H. J. Multivariate Polynomial Equations as Ma.trix Eigenproblems. In Contributions in Numerical Math, ematics (1993), vol. 2 of Worhl Scientific Series in Applicable Analysis, pp. 355-371.
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TAKESHIIVIA: T., AND YOKOYAMA, K. A Solution of Systems of' Algebraic Equations - Application of Eigenvectol's of Linear Mal)s on Residue Class Rings. Comm.Symb.Alge.b.Manip. 6, 4 (1990), 27-36. (in Japanese).
 
20
VAN DE.I~, ~VAERDEN: S. L. Moderne Algebra, v()l. II. Springer, 1931.
 
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Collaborative Colleagues:
Schuichi Moritsugu: colleagues
Kazuko Kuriyama: colleagues