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Found 108 Documents (Results 1–100)

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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Monodromy solver. Sequential and parallel. (English) Zbl 1467.65055

Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 87-94 (2018).
MSC:  65H20 14Q20 68W20
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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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HomotopyContinuation.jl: a package for homotopy continuation in Julia. (English) Zbl 1396.14003

Davenport, James H. (ed.) et al., Mathematical software – ICMS 2018. 6th international conference, South Bend, IN, USA, July 24–27, 2018. Proceedings. Cham: Springer (ISBN 978-3-319-96417-1/pbk; 978-3-319-96418-8/ebook). Lecture Notes in Computer Science 10931, 458-465 (2018).
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Homotopy continuation in Macaulay2. (English) Zbl 1395.13028

Davenport, James H. (ed.) et al., Mathematical software – ICMS 2018. 6th international conference, South Bend, IN, USA, July 24–27, 2018. Proceedings. Cham: Springer (ISBN 978-3-319-96417-1/pbk; 978-3-319-96418-8/ebook). Lecture Notes in Computer Science 10931, 328-334 (2018).
MSC:  13P10 14Qxx 65H10
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A special homotopy continuation method for a class of polynomial systems. (English) Zbl 1455.65079

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 19th international workshop, CASC 2017, Beijing, China, September 18–22, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10490, 362-376 (2017).
MSC:  65H10 65H20
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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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Hom4PS-3: a parallel numerical solver for systems of polynomial equations based on polyhedral homotopy continuation methods. (English) Zbl 1434.65065

Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8592, 183-190 (2014).
MSC:  65H04 65Y05
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Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. (English) Zbl 1191.14071

Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 55-77 (2009).
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Software for numerical algebraic geometry: a paradigm and progress towards its implementation. (English) Zbl 1143.65344

Stillman, Michael E. (ed.) et al., Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. New York, NY: Springer (ISBN 978-0-387-78132-7/hbk). The IMA Volumes in Mathematics and its Applications 148, 1-14 (2008).
MSC:  65H20 65H10 14Q15 12Y05 30C15
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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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On approximate linearized triangular decompositions. (English) Zbl 1121.13032

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, 279-298 (2007).
MSC:  13P10 65L07
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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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Using computer algebra to find Nash equilibria. (English) Zbl 1072.68659

Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 74-79 (2003).
MSC:  68W30 91A99
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An exploration of homotopy solving in Maple. (English) Zbl 1047.65033

Li, Ziming (ed.) et al., Computer mathematics. Proceedings of the sixth Asian symposium (ASCM 2003), Beijing, China, April 17–19, 2003. River Edge, NJ: World Scientific (ISBN 981-238-220-8/hbk). Lect. Notes Ser. Comput. 10, 145-162 (2003).
MSC:  65H10 65L05 68W30 34A34 12Y05 26C10 30C15
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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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