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Found 103 Documents (Results 1–100)

Numerical and symbolical methods for the GCD of several polynomials. (English) Zbl 1255.65062

Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 123-144 (2011).
MSC:  65D20 12Y05 13P05
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Faster multipoint polynomial evaluation via structured matrices. (English) Zbl 1215.65043

Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 354-356 (2010).
MSC:  65D20 12Y05 26C10 33B10 33F05
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Series expansion of multivariate algebraic functions at singular points – nonmonic case. (English) Zbl 1187.65023

Suzuki, Masakazu (ed.) et al., The joint conference of ASCM 2009 and MACIS 2009. 9th international conference on Asian symposium on computer mathematics and 3rd international conference on mathematical aspects of computer and information sciences, Fukuoka, Japan, December 14–17, 2009. Selected papers. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 22, 177-186 (2009).
MSC:  65D20 12Y05 12E05 68W30
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Fast multiplication and it applications. (English) Zbl 1208.68239

Buhler, J. P. (ed.) et al., Algorithmic number theory. Lattices, number fields, curves and cryptography. Cambridge: Cambridge University Press (ISBN 978-0-521-80854-5/hbk). Mathematical Sciences Research Institute Publications 44, 325-384 (2008).
MSC:  68W30 11Y16 68-02 12Y05 65D20 65T50 65Y20
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Toward accurate polynomial evaluation in rounded arithmetic. (English) Zbl 1106.65308

Pardo, Luis M. (ed.) et al., Foundations of computational mathematics, Santander 2005. Selected papers based on the presentations at the international conference of the Foundations of Computational Mathematics (FoCM), Santander, Spain, June 30 – July 9, 2005. Cambridge: Cambridge University Press (ISBN 0-521-68161-8/pbk). London Mathematical Society Lecture Note Series 331, 36-105 (2006).
MSC:  65D20 65G50 12Y05 30C10
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Full Text: arXiv

Optimization strategies for the approximate GCD problem. (English) Zbl 0922.65011

Gloor, Oliver (ed.), Proceedings of the 1998 international symposium on symbolic and algebraic computation, ISSAC ’98, Rostock, Germany, August 13–15, 1998. New York, NY: ACM Press. 228-235 (1998).
Reviewer: W.Govaerts (Gent)
MSC:  65D20 65K05 12Y05 65H05
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The modulo \(N\) extended GCD problem for polynomials. (English) Zbl 0919.65007

Gloor, Oliver (ed.), Proceedings of the 1998 international symposium on symbolic and algebraic computation, ISSAC ’98, Rostock, Germany, August 13–15, 1998. New York, NY: ACM Press. 105-112 (1998).
MSC:  65D20 15A54 12Y05 15A21 65F30
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Mixed representation of polynomials oriented towards fast parallel shift. (English) Zbl 0916.65014

Hitz, Markus (ed.) et al., Second international symposium on parallel symbolic computation, PASCO ’97, Maui, HI, USA, July 20–22, 1997. New York, NY: ACM Press. 150-155 (1997).
MSC:  65D20 68Q25 12Y05 65Y20
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\(\mathcal {NC}^2\) computation of gcd-free basis and application to parallel algebraic numbers computation. (English) Zbl 0917.65015

Hitz, Markus (ed.) et al., Second international symposium on parallel symbolic computation, PASCO ’97, Maui, HI, USA, July 20–22, 1997. New York, NY: ACM Press. 31-37 (1997).
MSC:  65D20 12Y05 65Y05 65Y20 65F30 15A21
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Towards an efficient implementation of a fast algorithm for multipoint polynomial evaluation and its parallel processing. (English) Zbl 0917.65016

Hitz, Markus (ed.) et al., Second international symposium on parallel symbolic computation, PASCO ’97, Maui, HI, USA, July 20–22, 1997. New York, NY: ACM Press. 24-30 (1997).
MSC:  65D20 65Y05 12Y05
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GCD of polynomials and Bézout matrices. (English) Zbl 0919.65006

Küchlin, Wolfgang W. (ed.), Proceedings of the 1997 international symposium on symbolic and algebraic computation, ISSAC ’97, Maui, HI, USA, July 21–23, 1997. New York, NY: ACM Press. 271-277 (1997).
MSC:  65D20 65H05 12Y05 13P10 68W30
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Interpolation of sparse multivariate polynomials over large finite fields with applications. (English) Zbl 0845.65004

Proceedings of the 7th annual ACM-SIAM symposium on discrete algorithms, held in Atlanta, GA, USA, January 28-30, 1996. Philadelphia, PA: SIAM. 508-517 (1996).
MSC:  65D20 65D05 12E05 12E20 12Y05
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Integration of multivariate rational functions given by straight-line programs. (English) Zbl 0878.65010

Cohen, Gérard (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 948, 347-364 (1995).
MSC:  65D20 65Y20 12Y05 26C15
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Multipolynomial resultants and linear algebra. (English) Zbl 0920.65006

Wang, Paul S. (ed.), International symposium on Symbolic and algebraic computation 92. ISSAC 92. Berkeley, CA, USA, July 27–29, 1992. Baltimore, MD: ACM Press. 158-167 (1992).
MSC:  65D20 12Y05 65H10 13P10 68W30 65F40
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Range computation and applications. (English) Zbl 0784.65010

Ullrich, Christian (ed.), Contributions to computer arithmetic and self- validating numerical methods. Papers from the first international conference held at the University of Basel, Switzerland, October 2-6, 1989. Basel: J. C. Baltzer AG, IMACS Ann. Comput. Appl. Math. 7, 197-211 (1990).
MSC:  65D20 65G30 26C10 12Y05
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Microcomputers in numerical analysis. (English) Zbl 0662.65001

Ellis Horwood Series in Mathematics and its Applications. Chichester (UK) etc.: Ellis Horwood Ltd.; New York etc.: Wiley. XII, 453 p. £39.95 (1989).
Reviewer: S.Gocheva-Ilieva
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