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Found 44 Documents (Results 1–44)

Locating the closest singularity in a polynomial homotopy. (English) Zbl 1507.14084

Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 333-352 (2022).
MSC:  14Q65 68W30
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Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers. (English) Zbl 07635852

Boulier, François (ed.) et al., Computer algebra in scientific computing. 22nd international workshop, CASC 2020, Linz, Austria, September 14–18, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12291, 563-582 (2020).
MSC:  68W30
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A blackbox polynomial system solver on parallel shared memory computers. (English) Zbl 1453.65469

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 20th international workshop, CASC 2018, Lille, France, September 17–21, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11077, 361-375 (2018).
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Computing all space curve solutions of polynomial systems by polyhedral methods. (English) Zbl 1453.13084

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 73-86 (2016).
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Solving polynomial systems in the cloud with polynomial homotopy continuation. (English) Zbl 1439.13078

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 87-100 (2015).
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Solving polynomial systems equation by equation. (English) Zbl 1136.65052

Dickenstein, Alicia (ed.) et al., Algorithms in algebraic geometry. Based on the workshop, Minneapolis, MN, USA, September 18–22, 2006. New York, NY: Springer (ISBN 978-0-387-75154-2/hbk). The IMA Volumes in Mathematics and its Applications 146, 133-152 (2008).
MSC:  65H10 65H20 13P05 14Q15 12Y05 30C15
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Evaluation of Jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems. (English) Zbl 1117.65074

Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 269-278 (2007).
MSC:  65H10 12Y05 26C10 68W30 14Q15
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Interfacing with the numerical homotopy algorithms in PHCpack. (English) Zbl 1230.65061

Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 354-360 (2006).
MSC:  65H20 12Y05 65Y15
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Parallel homotopy algorithms to solve polynomial systems. (English) Zbl 1230.65062

Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 225-234 (2006).
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Symbolic-numeric completion of differential systems by homotopy continuation. (English) Zbl 1361.13013

Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 269-276 (2005).
MSC:  13N15 13P99 68W30
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Numerical algebraic geometry and symbolic computation. (English) Zbl 1134.65349

Gutierrez, Jaime (ed.), ISSAC 2004. Proceedings of the 2004 international symposium on symbolic and algebraic computation, Santander, Spain, July 4–7, 2004. New York, NY: ACM Press (ISBN 1-58113-827-X/pbk). 3 (2004).
MSC:  65H20 14Q99
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A method for tracking singular paths with application to the numerical irreducible decomposition. (English) Zbl 1014.65035

Beltrametti, Mauro C. (ed.) et al., Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter. 329-345 (2002).
MSC:  65H10 12Y05 30C15 14Q15 26C10 65H20 68W30
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Using monodromy to decompose solution sets of polynomial systems into irreducible components. (English) Zbl 0990.65051

Ciliberto, Ciro (ed.) et al., Applications of algebraic geometry to coding theory, physics and computation. Proceedings of the NATO advanced research workshop, Eilat, Israel, February 25-March 1, 2001. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 36, 297-315 (2001).
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