Lehavi, David Effective reconstruction of generic genus 5 curves from their theta hyperplanes. (English) Zbl 07815487 Exp. Math. 33, No. 1, 150-164 (2024). MSC: 14H40 14Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bendle, Dominik; Böhm, Janko; Ren, Yue; Schröter, Benjamin Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians. (English) Zbl 1536.14058 J. Symb. Comput. 120, Article ID 102224, 28 p. (2024). MSC: 14T15 68W10 68W30 14Q15 14M15 52B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Breiding, Paul; Rose, Kemal; Timme, Sascha Certifying zeros of polynomial systems using interval arithmetic. (English) Zbl 07908573 ACM Trans. Math. Softw. 49, No. 1, Article No. 11, 14 p. (2023). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duff, Timothy; Regan, Margaret Polynomial systems, homotopy continuation, and applications. (English) Zbl 1522.65081 Notices Am. Math. Soc. 70, No. 1, 151-155 (2023). MSC: 65H20 14Q65 × Cite Format Result Cite Review PDF Full Text: DOI
Darwin, Cameron; Galimova, Aygul; Gu, Miao (Pam); McKean, Stephen Conics meeting eight lines over perfect fields. (English) Zbl 1531.14068 J. Algebra 631, 24-45 (2023). Reviewer: Ben Williams (Vancouver) MSC: 14N15 14F42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Kisun; Tang, Xindong On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials. (English) Zbl 1519.91013 J. Sci. Comput. 95, No. 1, Paper No. 13, 26 p. (2023); correction ibid. 95, No. 3, Paper No. 83, 2 p. (2023). MSC: 91A11 65H14 90C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Breiding, Paul; Gesmundo, Fulvio; Michałek, Mateusz; Vannieuwenhoven, Nick Algebraic compressed sensing. (English) Zbl 1514.94009 Appl. Comput. Harmon. Anal. 65, 374-406 (2023). MSC: 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beltrán, Carlos; Breiding, Paul; Vannieuwenhoven, Nick The average condition number of most tensor rank decomposition problems is infinite. (English) Zbl 1511.15020 Found. Comput. Math. 23, No. 2, 433-491 (2023). MSC: 15A69 65F35 14Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Harris, Katherine; Hauenstein, Jonathan D.; Szanto, Agnes Smooth points on semi-algebraic sets. (English) Zbl 1505.14123 J. Symb. Comput. 116, 183-212 (2023). Reviewer: Luca Chiantini (Siena) MSC: 14Q30 14P10 × Cite Format Result Cite Review PDF Full Text: DOI
Bernal, Edgar A.; Hauenstein, Jonathan D.; Mehta, Dhagash; Regan, Margaret H.; Tang, Tingting Machine learning the real discriminant locus. (English) Zbl 1504.14104 J. Symb. Comput. 115, 409-426 (2023). Reviewer: Timothy Duff (Seattle) MSC: 14Q65 68T07 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breiding, P.; Sottile, F.; Woodcock, J. Euclidean distance degree and mixed volume. (English) Zbl 1505.14124 Found. Comput. Math. 22, No. 6, 1743-1765 (2022). Reviewer: Timothy Duff (Seattle) MSC: 14Qxx 13P25 14M25 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hauenstein, Jonathan D.; Helmer, Martin Probabilistic saturations and Alt’s problem. (English) Zbl 1502.14146 Exp. Math. 31, No. 3, 975-987 (2022). Reviewer: Aleksandra Sobieska (Madison) MSC: 14Q65 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Manivel, Laurent; Szendrői, Balázs On the equations defining some Hilbert schemes. (English) Zbl 1485.14111 Vietnam J. Math. 50, No. 2, 487-500 (2022). MSC: 14Q65 14C05 65H14 68W30 13F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frohmader, Andrew; Heaton, Alexander Epsilon local rigidity and numerical algebraic geometry. (English) Zbl 1485.70001 J. Algebra Appl. 21, No. 1, Article ID 2250009, 21 p. (2022). MSC: 70B15 65D17 14Q99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duff, Timothy; Hein, Nickolas; Sottile, Frank Certification for polynomial systems via square subsystems. (English) Zbl 1476.14103 J. Symb. Comput. 109, 367-385 (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 14Q65 65G20 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaluba, Marek; Lorenz, Benjamin; Timme, Sascha Polymake.jl: a new interface to polymake. (English) Zbl 1504.14003 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 377-385 (2020). MSC: 14-04 65H10 14P05 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harris, Katherine; Hauenstein, Jonathan D.; Szanto, Agnes Smooth points on semi-algebraic sets. (English) Zbl 1499.14098 ACM Commun. Comput. Algebra 54, No. 3, 105-108 (2020). MSC: 14Q30 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sottile, Frank General witness sets for numerical algebraic geometry. (English) Zbl 1499.14100 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 418-425 (2020). MSC: 14Q65 14C17 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Do, Ngoc; Kuchment, Peter; Sottile, Frank Generic properties of dispersion relations for discrete periodic operators. (English) Zbl 1454.81060 J. Math. Phys. 61, No. 10, 103502, 19 p. (2020). MSC: 81Q05 81U30 14N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brustenga I Moncusì, Laura; Timme, Sascha; Weinstein, Madeleine 96120: the degree of the linear orbit of a cubic surface. (English) Zbl 1454.14146 Matematiche 75, No. 2, 425-437 (2020). MSC: 14Q10 14J26 14Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shirinkam, Sara; Alaeddini, Adel; Gross, Elizabeth Identifying the number of components in Gaussian mixture models using numerical algebraic geometry. (English) Zbl 1453.62553 J. Algebra Appl. 19, No. 11, Article ID 2050204, 21 p. (2020). MSC: 62H30 62R07 62B10 65H14 × Cite Format Result Cite Review PDF Full Text: DOI
Breiding, Paul; Sturmfels, Bernd; Timme, Sascha 3264 conics in a second. (English) Zbl 1437.14053 Notices Am. Math. Soc. 67, No. 1, 30-37 (2020). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14N10 14Q05 14Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brake, Danielle A.; Hauenstein, Jonathan D.; Vinzant, Cynthia Computing complex and real tropical curves using monodromy. (English) Zbl 1423.14348 J. Pure Appl. Algebra 223, No. 12, 5232-5250 (2019). Reviewer: Kathlén Kohn (Oslo) MSC: 14T05 14Q05 14P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J. Homotopy techniques for tensor decomposition and perfect identifiability. (English) Zbl 1440.15019 J. Reine Angew. Math. 753, 1-22 (2019). Reviewer: Nathan Grieve (Ottawa) MSC: 15A69 14Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Regan, Margaret H. Adaptive strategies for solving parameterized systems using homotopy continuation. (English) Zbl 1427.65086 Appl. Math. Comput. 332, 19-34 (2018). MSC: 65H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Kulkarni, Avinash; Sertöz, Emre C.; Sherman, Samantha N. Certifying reality of projections. (English) Zbl 1396.14053 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, 200-208 (2018). MSC: 14Qxx 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hein, Nickolas; Sottile, Frank A lifted square formulation for certifiable Schubert calculus. (English) Zbl 1356.14043 J. Symb. Comput. 79, Part 3, 594-608 (2017). Reviewer: Cenap Özel (Bolu) MSC: 14N15 14Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Levandovskyy, Viktor Certifying solutions to square systems of polynomial-exponential equations. (English) Zbl 1357.14071 J. Symb. Comput. 79, Part 3, 575-593 (2017). Reviewer: Amir Hashemi (Isfahan) MSC: 14Q15 68W30 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien Mixed cell computation in HOM4ps. (English) Zbl 1365.13047 J. Symb. Comput. 79, Part 3, 516-534 (2017). Reviewer: Thomas Kahle (Magdeburg) MSC: 13P15 68W10 52B55 65Y05 65Y20 05C85 14Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Hauenstein, Jonathan D. (ed.); Sommese, Andrew J. (ed.) Foreword. What is numerical algebraic geometry? (English) Zbl 1360.00098 J. Symb. Comput. 79, Part 3, 499-507 (2017). MSC: 00B15 14-06 65-06 14Q99 65H10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Martín del Campo, Abraham; Sottile, Frank Experimentation in the Schubert calculus. (English) Zbl 1378.14056 Naruse, Hiroshi (ed.) et al., Schubert calculus – Osaka 2012. Proceedings of the 5th Mathematical Society of Japan-Seasonal Institute, MSJ-SI, Osaka, Japan, July 17–27, 2012. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-038-9/hbk). Advanced Studies in Pure Mathematics 71, 295-335 (2016). MSC: 14N15 14Q15 × Cite Format Result Cite Review PDF Full Text: arXiv
Brake, Daniel A.; Hauenstein, Jonathan D.; Liddell, Alan C. Validating the completeness of the real solution set of a system of polynomial equations. (English) Zbl 1362.13027 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 143-150 (2016). MSC: 13P10 13P15 68W30 13P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Hein, Nickolas; Sottile, Frank A primal-dual formulation for certifiable computations in Schubert calculus. (English) Zbl 1360.14126 Found. Comput. Math. 16, No. 4, 941-963 (2016). Reviewer: Cenap Özel (Bolu) MSC: 14N15 14Q20 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; Niemerg, Matthew E.; Sottile, Frank Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials. (English) Zbl 1349.14177 Numer. Algorithms 73, No. 1, 281-304 (2016). Reviewer: Guillermo Matera (Buenos Aires) MSC: 14P05 14M25 14Q99 65H10 65H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Griffin, Zachary A.; Hauenstein, Jonathan D. Real solutions to systems of polynomial equations and parameter continuation. (English) Zbl 1309.65056 Adv. Geom. 15, No. 2, 173-187 (2015). MSC: 65H10 68W30 14Q99 14P99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bozóki, Sándor; Lee, Tsung-Lin; Rónyai, Lajos Seven mutually touching infinite cylinders. (English) Zbl 1310.65022 Comput. Geom. 48, No. 2, 87-93 (2015). MSC: 65D18 65H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. (English) Zbl 1410.65205 Appl. Math. Comput. 231, 619-633 (2014). MSC: 65H20 14Q15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Hauenstein, Jonathan; He, Yang-Hui; Mehta, Dhagash Numerical elimination and moduli space of vacua. (English) Zbl 1342.83004 J. High Energy Phys. 2013, No. 9, Paper No. 083, 27 p. (2013). MSC: 83-08 81T13 81T60 81T30 83E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beltrán, Carlos; Leykin, Anton Robust certified numerical homotopy tracking. (English) Zbl 1267.14075 Found. Comput. Math. 13, No. 2, 253-295 (2013). Reviewer: Hang Lau (Montréal) MSC: 14Q20 65H20 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D. Numerically computing real points on algebraic sets. (English) Zbl 1269.65048 Acta Appl. Math. 125, No. 1, 105-119 (2013). Reviewer: Hang Lau (Montréal) MSC: 65H10 13P05 65H20 14Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehta, Dhagash; He, Yang-Hui; Hauenstein, Jonathan D. Numerical algebraic geometry: a new perspective on gauge and string theories. (English) Zbl 1397.81271 J. High Energy Phys. 2012, No. 7, Paper No. 18, 32 p. (2012). MSC: 81T30 81T13 14Qxx 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Sottile, Frank Algorithm 921: alphaCertified: certifying solutions to polynomial systems. (English) Zbl 1365.65148 ACM Trans. Math. Softw. 38, No. 4, Article No. 28, 20 p. (2012). MSC: 65H10 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Puente, Luis D.; Hein, Nickolas; Hillar, Christopher; Martín del Campo, Abraham; Ruffo, James; Sottile, Frank; Teitler, Zach The secant conjecture in the real Schubert calculus. (English) Zbl 1272.14037 Exp. Math. 21, No. 3, 252-265 (2012). Reviewer: Alexander Esterov (Moscow) MSC: 14M15 14P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid