| Optimization strategies for the approximate GCD problem |
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International Conference on Symbolic and Algebraic Computation
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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
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Authors
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Paulina Chin
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Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
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Robert M. Corless
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Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada
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George F. Corliss
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Department of Mathematics, Statistics, and Computer Science, Marquette University, P.O. Box 1881, Milwaukee, WI
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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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Robert M. Corless , Patrizia M. Gianni , Barry M. Trager , Stephen M. Watt, The singular value decomposition for polynomial systems, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.195-207, July 10-12, 1995, Montreal, Quebec, Canada
[doi> 10.1145/220346.220371]
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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.
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CITED BY 8
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Robert M. Corless , Mark W. Giesbrecht , David J. Jeffrey, Approximate polynomial decomposition, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.213-219, July 28-31, 1999, Vancouver, British Columbia, Canada
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