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Optimization strategies for the approximate GCD problem
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents
Rostock, Germany
Pages: 228 - 235  
Year of Publication: 1998
ISBN:1-58113-002-3
Authors
Paulina Chin  Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
Robert M. Corless  Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada
George F. Corliss  Department of Mathematics, Statistics, and Computer Science, Marquette University, P.O. Box 1881, Milwaukee, WI
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): 3,   Downloads (12 Months): 21,   Citation Count: 8
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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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BRANCH, M. A., AND GRACE, A. MATLAB Optimization Toolbox User's Guide. The MathWorks, Inc., 1996.
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CORLISS, G. F., Hu, C., KEARFOTT, R. B., AND WAL- STER, G. W. Global solutions working note 1: Rigorous global search- executive summary. Tech. Rep. 442, Dept. of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI, 1997.
 
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EMIRIS, I. Z. Symbolic-numeric algebra for polynomials. Research Report, Institut National de Recherche en Informatique et en Automatique (INRIA), Sophia- Antipolis, France, 1997.
 
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EMIRIS, I. Z., GALLIGO, A., AND LOMBARDI, H. Numerical univariate polynomial GCD. In The Mathematics of Numerical Analysis, Lectures in Applied Mathematics V. 32, J. Renegar, M. Shub, and S. Smale, Eds. AMS, 1996, pp. 323-343.
 
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EMIRIS, I. Z., GALLIGO, A., AND LOMBARDI, H. Certified approximate univariate GCDs. J. Pure and Applied Algebra 117 $J 118 (1997), 229-251.
 
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KARCANIAS, N., AND MITROULI, M. A matrix pencil based numerical method for the computation of the GCD of polynomials. IEEE Trans. Automatic Control 39 (1994), 977-981.
 
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KEARFOTT, R. B. Rigorous Global Search: Continuous Problems. Kluwer Academic Publishers, Dordrecht, Netherlands, 1996.
 
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MOR~, J. J., AND WRIGHT, S. J. Optimization Software Guide. SIAM, 1994.
 
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PAN, V. Y. Numerical computation of a polynomial GCD and extensions. Research Report 2969, Institut National de Recherche en Informatique et en Automatique (INRIA), Sophia-Antipolis, France, 1996.
 
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SCHONHAGE, A. Quasi-GCD computations. J. Complexity 1 (1985), 118-137.
 
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SEDERBERG, T. W., AND CHANG, G.-Z. Best linear common divisors for approximate degree reduction. Computer-Aided Design 25 (1993), 163-168.
 
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WILKINSON, J. g. The perfidious polynomial. In Studies in Numerical Analysis, G. H. Golub, Ed. The Mathematical Association of America, 1984, pp. 1-28.

CITED BY  8

Collaborative Colleagues:
Paulina Chin: colleagues
Robert M. Corless: colleagues
George F. Corliss: colleagues