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Found 60 Documents (Results 1–60)

Homotopies for connected components of algebraic sets with application to computing critical sets. (English) Zbl 1497.14121

Blömer, Johannes (ed.) et al., Mathematical aspects of computer and information sciences. 7th international conference, MACIS 2017, Vienna, Austria, November 15–17, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10693, 107-120 (2017).
MSC:  14Q30 14F45
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On computing a cell decomposition of a real surface containing infinitely many singularities. (English) Zbl 1437.14061

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, 246-252 (2014).
MSC:  14Q65 14Q30 14-04
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Bertini_real: software for one- and two-dimensional real algebraic sets. (English) Zbl 1437.14005

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, 175-182 (2014).
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Numerically solving polynomial systems with Bertini. (English) Zbl 1295.65057

Software - Environments - Tools 25. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-69-6/pbk). xx, 352 p. (2013).
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A parallel endgame. (English) Zbl 1238.14007

Gurvits, Leonid (ed.) et al., Randomization, relaxation, and complexity in polynomial equation solving. Banff International Research Station workshop on randomization, relaxation, and complexity, Banff, Ontario, Canada, February 28–March 5, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5228-6/pbk). Contemporary Mathematics 556, 25-35 (2011).
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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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Numerical computation of the dimensions of the cohomology of twists of ideal sheaves. (English) Zbl 1185.14041

Bates, Daniel J. (ed.) et al., Interactions of classical and numerical algebraic geometry. A conference in honor of Andrew Sommese, Notre Dame, IN, USA, May 22–24, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4746-6/pbk). Contemporary Mathematics 496, 235-242 (2009).
MSC:  14M06 65H10 65E05
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Stepsize control for path tracking. (English) Zbl 1181.65071

Bates, Daniel J. (ed.) et al., Interactions of classical and numerical algebraic geometry. A conference in honor of Andrew Sommese, Notre Dame, IN, USA, May 22–24, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4746-6/pbk). Contemporary Mathematics 496, 21-31 (2009).
MSC:  65H10 65H20
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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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Application of a numerical version of Terracini’s lemma for secants and joins. (English) Zbl 1137.65035

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, 1-14 (2008).
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Finding all real points of a complex curve. (English) Zbl 1136.65050

Corso, Alberto (ed.) et al., Algebra, geometry and their interactions. International conference on Midwest algebra, geometry and their interactions, MAGIC’ 05, Notre Dame, IN, USA, October 7–11, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4094-8/pbk). Contemporary Mathematics 448, 183-205 (2007).
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The numerical solution of systems of polynomials. Arising in engineering and science. (English) Zbl 1091.65049

River Edge, NJ: World Scientific (ISBN 981-256-184-6/hbk; 978-981-256-772-7/ebook). xxii, 401 p. (2005).
Reviewer: Zhen Mei (Toronto)
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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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