Duff, T.; Telen, S.; Walker, E.; Yahl, T. Polyhedral homotopies in Cox coordinates. (English) Zbl 07793928 J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024). MSC: 13P15 14M25 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024; Zbl 07793928) Full Text: DOI arXiv
Duff, Timothy; Leykin, Anton; Rodriguez, Jose Israel \(u\)-generation: solving systems of polynomials equation-by-equation. (English) Zbl 07792401 Numer. Algorithms 95, No. 2, 813-838 (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H20 65H10 14Q65 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., Numer. Algorithms 95, No. 2, 813--838 (2024; Zbl 07792401) 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 PDFBibTeX XMLCite \textit{T. Duff} and \textit{M. Regan}, Notices Am. Math. Soc. 70, No. 1, 151--155 (2023; Zbl 1522.65081) Full Text: DOI
Burr, M.; Sottile, F.; Walker, E. Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047 Math. Comput. 92, No. 343, 2333-2353 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 14M25 68W30 65H10 65H20 PDFBibTeX XMLCite \textit{M. Burr} et al., Math. Comput. 92, No. 343, 2333--2353 (2023; Zbl 1519.14047) Full Text: DOI arXiv
Duff, Timothy; Ruddy, Michael Signatures of algebraic curves via numerical algebraic geometry. (English) Zbl 1507.14047 J. Symb. Comput. 115, 452-477 (2023). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14H50 65H20 14Q05 53A55 PDFBibTeX XMLCite \textit{T. Duff} and \textit{M. Ruddy}, J. Symb. Comput. 115, 452--477 (2023; Zbl 1507.14047) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{E. A. Bernal} et al., J. Symb. Comput. 115, 409--426 (2023; Zbl 1504.14104) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{M. Helmer}, Exp. Math. 31, No. 3, 975--987 (2022; Zbl 1502.14146) Full Text: DOI arXiv
Huang, Yao; Hao, Wenrui; Lin, Guang HomPINNs: homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. (English) Zbl 1524.65937 Comput. Math. Appl. 121, 62-73 (2022). MSC: 65N99 68T07 35K57 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Math. Appl. 121, 62--73 (2022; Zbl 1524.65937) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Frohmader} and \textit{A. Heaton}, J. Algebra Appl. 21, No. 1, Article ID 2250009, 21 p. (2022; Zbl 1485.70001) Full Text: DOI arXiv
Wei, Xiaoqi; Wei, Guo-Wei Homotopy continuation for the spectra of persistent Laplacians. (English) Zbl 1494.55011 Found. Data Sci. 3, No. 4, 677-700 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 55U10 65H14 PDFBibTeX XMLCite \textit{X. Wei} and \textit{G.-W. Wei}, Found. Data Sci. 3, No. 4, 677--700 (2021; Zbl 1494.55011) Full Text: DOI
Timme, Sascha Mixed precision path tracking for polynomial homotopy continuation. (English) Zbl 1487.65057 Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021). MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{S. Timme}, Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021; Zbl 1487.65057) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Liddell, Alan C. jun.; McPherson, Sanesha; Zhang, Yi Numerical algebraic geometry and semidefinite programming. (English) Zbl 1476.90231 Results Appl. Math. 11, Article ID 100166, 20 p. (2021). MSC: 90C22 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Results Appl. Math. 11, Article ID 100166, 20 p. (2021; Zbl 1476.90231) Full Text: DOI
Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan Homotopy techniques for solving sparse column support determinantal polynomial systems. (English) Zbl 1495.13040 J. Complexity 66, Article ID 101557, 20 p. (2021). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 13P15 68W30 12D10 65F40 PDFBibTeX XMLCite \textit{G. Labahn} et al., J. Complexity 66, Article ID 101557, 20 p. (2021; Zbl 1495.13040) Full Text: DOI arXiv
Hao, Wenrui; Zheng, Chunyue A stochastic homotopy tracking algorithm for parametric systems of nonlinear equations. (English) Zbl 1470.65107 J. Sci. Comput. 87, No. 3, Paper No. 87, 14 p. (2021). MSC: 65H20 PDFBibTeX XMLCite \textit{W. Hao} and \textit{C. Zheng}, J. Sci. Comput. 87, No. 3, Paper No. 87, 14 p. (2021; Zbl 1470.65107) Full Text: DOI arXiv
Hauenstein, Jon D.; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan Solving determinantal systems using homotopy techniques. (English) Zbl 1461.13034 J. Symb. Comput. 104, 754-804 (2021). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 65H20 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., J. Symb. Comput. 104, 754--804 (2021; Zbl 1461.13034) Full Text: DOI arXiv
Collins, J. B.; Hauenstein, Jonathan D. A singular value homotopy for finding critical parameter values. (English) Zbl 1470.65106 Appl. Numer. Math. 161, 233-243 (2021). MSC: 65H20 PDFBibTeX XMLCite \textit{J. B. Collins} and \textit{J. D. Hauenstein}, Appl. Numer. Math. 161, 233--243 (2021; Zbl 1470.65106) Full Text: DOI
Li, Xiaxin; Rodriguez, Jose Israel; Wang, Botong A numerical approach for computing Euler characteristics of affine varieties. (English) Zbl 1503.65112 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, 51-60 (2020). MSC: 65H14 14Q15 14Q65 PDFBibTeX XMLCite \textit{X. Li} et al., Lect. Notes Comput. Sci. 12097, 51--60 (2020; Zbl 1503.65112) Full Text: DOI
Telen, Simon; Van Barel, Marc; Verschelde, Jan A robust numerical path tracking algorithm for polynomial homotopy continuation. (English) Zbl 1457.65023 SIAM J. Sci. Comput. 42, No. 6, A3610-A3637 (2020). MSC: 65H20 65H04 65H10 41A21 PDFBibTeX XMLCite \textit{S. Telen} et al., SIAM J. Sci. Comput. 42, No. 6, A3610--A3637 (2020; Zbl 1457.65023) Full Text: DOI arXiv
Brysiewicz, Taylor Numerical software to compute Newton polytopes and tropical membership. (English) Zbl 1474.14002 Math. Comput. Sci. 14, No. 3, 577-589 (2020). MSC: 14-04 14M25 65H20 14T15 14Q99 PDFBibTeX XMLCite \textit{T. Brysiewicz}, Math. Comput. Sci. 14, No. 3, 577--589 (2020; Zbl 1474.14002) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Rodriguez, Jose Israel Multiprojective witness sets and a trace test. (English) Zbl 1448.65054 Adv. Geom. 20, No. 3, 297-318 (2020). Reviewer: Luca Chiantini (Siena) MSC: 65H20 14Q15 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{J. I. Rodriguez}, Adv. Geom. 20, No. 3, 297--318 (2020; Zbl 1448.65054) Full Text: DOI arXiv
Lairez, Pierre Rigid continuation paths. I: Quasilinear average complexity for solving polynomial systems. (English) Zbl 07179136 J. Am. Math. Soc. 33, No. 2, 487-526 (2020). MSC: 65Y20 65H10 65H20 PDFBibTeX XMLCite \textit{P. Lairez}, J. Am. Math. Soc. 33, No. 2, 487--526 (2020; Zbl 07179136) Full Text: DOI arXiv
Hao, Wenrui; Zheng, Chunyue An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. (English) Zbl 1437.37111 J. Sci. Comput. 82, No. 3, Paper No. 53, 19 p. (2020). MSC: 37M20 PDFBibTeX XMLCite \textit{W. Hao} and \textit{C. Zheng}, J. Sci. Comput. 82, No. 3, Paper No. 53, 19 p. (2020; Zbl 1437.37111) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Regan, Margaret H. Real monodromy action. (English) Zbl 1433.65094 Appl. Math. Comput. 373, Article ID 124983, 13 p. (2020). MSC: 65H10 65H20 14D05 14Q30 68W30 14Q65 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{M. H. Regan}, Appl. Math. Comput. 373, Article ID 124983, 13 p. (2020; Zbl 1433.65094) Full Text: DOI arXiv
Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. (English) Zbl 07161476 J. Sci. Comput. 82, No. 1, Paper No. 19, 17 p. (2020). MSC: 65Lxx 65Hxx 34Bxx PDFBibTeX XMLCite \textit{W. Hao} et al., J. Sci. Comput. 82, No. 1, Paper No. 19, 17 p. (2020; Zbl 07161476) Full Text: DOI
Duff, Timothy; Hill, Cvetelina; Jensen, Anders; Lee, Kisun; Leykin, Anton; Sommars, Jeff Solving polynomial systems via homotopy continuation and monodromy. (English) Zbl 1462.65055 IMA J. Numer. Anal. 39, No. 3, 1421-1446 (2019). MSC: 65H20 PDFBibTeX XMLCite \textit{T. Duff} et al., IMA J. Numer. Anal. 39, No. 3, 1421--1446 (2019; Zbl 1462.65055) Full Text: DOI arXiv
Hao, Wenrui; Yang, Yong Convergence of a homotopy finite element method for computing steady states of Burgers’ equation. (English) Zbl 1446.65092 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1629-1644 (2019). MSC: 65M12 35Q53 65M60 65M99 PDFBibTeX XMLCite \textit{W. Hao} and \textit{Y. Yang}, ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1629--1644 (2019; Zbl 1446.65092) Full Text: DOI
Chen, Justin; Kileel, Joe Numerical implicitization: a Macaulay2 package. (English) Zbl 1430.14112 J. Softw. Algebra Geom. 9, 55-63 (2019). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q65 14-04 65H14 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Kileel}, J. Softw. Algebra Geom. 9, No. 1, 55--63 (2019; Zbl 1430.14112) 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 PDFBibTeX XMLCite \textit{D. A. Brake} et al., J. Pure Appl. Algebra 223, No. 12, 5232--5250 (2019; Zbl 1423.14348) Full Text: DOI arXiv
Wang, Yu; Wu, Wenyuan; Xia, Bican Early ending in homotopy path-tracking for real roots. (English) Zbl 07704991 Fleuriot, Jacques (ed.) et al., Artificial intelligence and symbolic computation. 13th international conference, AISC 2018, Suzhou, China, September 16–19, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11110, 181-194 (2018). MSC: 65H20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Lect. Notes Comput. Sci. 11110, 181--194 (2018; Zbl 07704991) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{M. H. Regan}, Appl. Math. Comput. 332, 19--34 (2018; Zbl 1427.65086) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank Numerical computation of Galois groups. (English) Zbl 1442.14186 Found. Comput. Math. 18, No. 4, 867-890 (2018). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q65 65H14 65H20 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Found. Comput. Math. 18, No. 4, 867--890 (2018; Zbl 1442.14186) Full Text: DOI arXiv
McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. Numerical irreducible decomposition over a number field. (English) Zbl 1408.14194 J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q99 65H20 65H10 68W30 26C10 PDFBibTeX XMLCite \textit{T. M. McCoy} et al., J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018; Zbl 1408.14194) Full Text: DOI
Hao, Wenrui; Harlim, John An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. (English) Zbl 1409.65034 Commun. Appl. Math. Comput. Sci. 13, No. 2, 189-214 (2018). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65H10 65H20 94A17 49M15 PDFBibTeX XMLCite \textit{W. Hao} and \textit{J. Harlim}, Commun. Appl. Math. Comput. Sci. 13, No. 2, 189--214 (2018; Zbl 1409.65034) Full Text: DOI arXiv
Wang, Yingwei; Hao, Wenrui; Lin, Guang Two-level spectral methods for nonlinear elliptic equations with multiple solutions. (English) Zbl 1398.65107 SIAM J. Sci. Comput. 40, No. 4, B1180-B1205 (2018). MSC: 65H10 65L10 65N35 65N55 PDFBibTeX XMLCite \textit{Y. Wang} et al., SIAM J. Sci. Comput. 40, No. 4, B1180--B1205 (2018; Zbl 1398.65107) Full Text: DOI
Breiding, Paul; Timme, Sascha 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). MSC: 14-04 14Qxx 65H10 13P10 PDFBibTeX XMLCite \textit{P. Breiding} and \textit{S. Timme}, Lect. Notes Comput. Sci. 10931, 458--465 (2018; Zbl 1396.14003) Full Text: DOI arXiv
Leykin, Anton 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 PDFBibTeX XMLCite \textit{A. Leykin}, Lect. Notes Comput. Sci. 10931, 328--334 (2018; Zbl 1395.13028) Full Text: DOI
Zarei, Mojtaba; Kalhor, Ahmad; Brake, Dani Arc length based maximal Lyapunov functions and domains of attraction estimation for polynomial nonlinear systems. (English) Zbl 1387.93138 Automatica 90, 164-171 (2018). MSC: 93D30 93B40 93C10 PDFBibTeX XMLCite \textit{M. Zarei} et al., Automatica 90, 164--171 (2018; Zbl 1387.93138) Full Text: DOI
Mahmoud, Abdrhaman; Yu, Bo; Zhang, Xuping Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity. (English) Zbl 1402.65073 ETNA, Electron. Trans. Numer. Anal. 48, 81-96 (2018). Reviewer: Serhiy Yanchuk (Berlin) MSC: 65L10 34L10 34B15 PDFBibTeX XMLCite \textit{A. Mahmoud} et al., ETNA, Electron. Trans. Numer. Anal. 48, 81--96 (2018; Zbl 1402.65073) Full Text: DOI Link
Hao, Wenrui A homotopy method for parameter estimation of nonlinear differential equations with multiple optima. (English) Zbl 1398.65340 J. Sci. Comput. 74, No. 3, 1314-1324 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P20 65H10 65K10 65F99 PDFBibTeX XMLCite \textit{W. Hao}, J. Sci. Comput. 74, No. 3, 1314--1324 (2018; Zbl 1398.65340) Full Text: DOI
Coss, Owen; Hauenstein, Jonathan D.; Hong, Hoon; Molzahn, Daniel K. Locating and counting equilibria of the Kuramoto model with rank-one coupling. (English) Zbl 1428.65003 SIAM J. Appl. Algebra Geom. 2, No. 1, 45-71 (2018). MSC: 65H14 14Q65 34C15 68W30 34C60 PDFBibTeX XMLCite \textit{O. Coss} et al., SIAM J. Appl. Algebra Geom. 2, No. 1, 45--71 (2018; Zbl 1428.65003) Full Text: DOI arXiv
Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 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 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Lect. Notes Comput. Sci. 10693, 107--120 (2017; Zbl 1497.14121) Full Text: DOI
Chen, Liping; Han, Lixing; Zhou, Liangmin Linear homotopy method for computing generalized tensor eigenpairs. (English) Zbl 1393.15033 Front. Math. China 12, No. 6, 1303-1317 (2017). MSC: 15A69 15A18 65H20 65F15 PDFBibTeX XMLCite \textit{L. Chen} et al., Front. Math. China 12, No. 6, 1303--1317 (2017; Zbl 1393.15033) Full Text: DOI
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard Tensor decomposition and homotopy continuation. (English) Zbl 1377.65057 Differ. Geom. Appl. 55, 78-105 (2017). MSC: 65H10 14Q15 15A69 13P05 PDFBibTeX XMLCite \textit{A. Bernardi} et al., Differ. Geom. Appl. 55, 78--105 (2017; Zbl 1377.65057) Full Text: DOI arXiv
Kileel, Joe Minimal problems for the calibrated trifocal variety. (English) Zbl 1386.14185 SIAM J. Appl. Algebra Geom. 1, No. 1, 575-598 (2017). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14M20 14Q15 14N99 15A69 65H20 68T45 PDFBibTeX XMLCite \textit{J. Kileel}, SIAM J. Appl. Algebra Geom. 1, No. 1, 575--598 (2017; Zbl 1386.14185) Full Text: DOI arXiv
Brown, David A.; Zingg, David W. Design and evaluation of homotopies for efficient and robust continuation. (English) Zbl 1367.65079 Appl. Numer. Math. 118, 150-181 (2017). MSC: 65H20 65H10 76M25 PDFBibTeX XMLCite \textit{D. A. Brown} and \textit{D. W. Zingg}, Appl. Numer. Math. 118, 150--181 (2017; Zbl 1367.65079) Full Text: DOI
Wu, Wenyuan; Reid, Greg; Feng, Yong Computing real witness points of positive dimensional polynomial systems. (English) Zbl 1390.14188 Theor. Comput. Sci. 681, 217-231 (2017). Reviewer: David Sevilla (Merida) MSC: 14Q20 26C10 14P05 13J30 65H20 68W30 PDFBibTeX XMLCite \textit{W. Wu} et al., Theor. Comput. Sci. 681, 217--231 (2017; Zbl 1390.14188) Full Text: DOI
Zhang, Xuping; Zhang, Jintao; Yu, Bo Symmetric homotopy method for discretized elliptic equations with cubic and quintic nonlinearities. (English) Zbl 1373.65086 J. Sci. Comput. 70, No. 3, 1316-1335 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N35 65H20 35J61 35P10 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sci. Comput. 70, No. 3, 1316--1335 (2017; Zbl 1373.65086) Full Text: DOI
Martín del Campo, Abraham; Rodriguez, Jose Israel Critical points via monodromy and local methods. (English) Zbl 1365.14003 J. Symb. Comput. 79, Part 3, 559-574 (2017). Reviewer: Noémie Combe (Marseille) MSC: 14-XX 68W30 PDFBibTeX XMLCite \textit{A. Martín del Campo} and \textit{J. I. Rodriguez}, J. Symb. Comput. 79, Part 3, 559--574 (2017; Zbl 1365.14003) 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 PDFBibTeX XMLCite \textit{T. Chen} et al., J. Symb. Comput. 79, Part 3, 516--534 (2017; Zbl 1365.13047) Full Text: DOI
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew E. Decoupling highly structured polynomial systems. (English) Zbl 1360.13064 J. Symb. Comput. 79, Part 3, 508-515 (2017). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 13P15 13-04 14Qxx 68W30 65H10 78-04 PDFBibTeX XMLCite \textit{D. J. Bates} et al., J. Symb. Comput. 79, Part 3, 508--515 (2017; Zbl 1360.13064) 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 PDFBibTeX XMLCite \textit{J. D. Hauenstein} (ed.) and \textit{A. J. Sommese} (ed.), J. Symb. Comput. 79, Part 3, 499--507 (2017; Zbl 1360.00098) Full Text: DOI
Boyd, John P. Tracing multiple solution branches for nonlinear ordinary differential equations: Chebyshev and Fourier spectral methods and a degree-increasing spectral homotopy [DISH]. (English) Zbl 1371.65070 J. Sci. Comput. 69, No. 3, 1115-1143 (2016). MSC: 65L60 65L10 34B15 65R20 45G10 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Sci. Comput. 69, No. 3, 1115--1143 (2016; Zbl 1371.65070) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Algorithms 73, No. 1, 281--304 (2016; Zbl 1349.14177) Full Text: DOI arXiv
Jensen, Anders; Leykin, Anton; Yu, Josephine Computing tropical curves via homotopy continuation. (English) Zbl 1350.14045 Exp. Math. 25, No. 1, 83-93 (2016). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 14T05 14Q05 57M25 65H20 PDFBibTeX XMLCite \textit{A. Jensen} et al., Exp. Math. 25, No. 1, 83--93 (2016; Zbl 1350.14045) Full Text: DOI arXiv
Chen, Liping; Han, Lixing; Zhou, Liangmin Computing tensor eigenvalues via homotopy methods. (English) Zbl 1376.15017 SIAM J. Matrix Anal. Appl. 37, No. 1, 290-319 (2016). MSC: 15A69 15A18 65H10 65F15 65H20 65H17 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 290--319 (2016; Zbl 1376.15017) Full Text: DOI arXiv
Jiao, Libin; Dong, Bo; Zhang, Jintao; Yu, Bo Polynomial homotopy method for the sparse interpolation problem. I: Equally spaced sampling. (English) Zbl 1382.65033 SIAM J. Numer. Anal. 54, No. 1, 462-480 (2016). MSC: 65D05 65J22 65H20 PDFBibTeX XMLCite \textit{L. Jiao} et al., SIAM J. Numer. Anal. 54, No. 1, 462--480 (2016; Zbl 1382.65033) Full Text: DOI
Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew BertiniLab: a MATLAB interface for solving systems of polynomial equations. (English) Zbl 1333.65054 Numer. Algorithms 71, No. 1, 229-244 (2016). MSC: 65H10 65H04 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Algorithms 71, No. 1, 229--244 (2016; Zbl 1333.65054) Full Text: DOI
Hauenstein, Jonathan D.; Liddell, Alan C. Certified predictor-corrector tracking for Newton homotopies. (English) Zbl 1329.65110 J. Symb. Comput. 74, 239-254 (2016). MSC: 65H20 65H10 65H04 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{A. C. Liddell}, J. Symb. Comput. 74, 239--254 (2016; Zbl 1329.65110) Full Text: DOI
Schenck, Henry Book review of: D. J. Bates et al., Numerically solving polynomial systems with Bertini. (English) Zbl 1325.00015 Bull. Am. Math. Soc., New Ser. 53, No. 1, 179-186 (2016). MSC: 00A17 65-02 12Y05 14Q15 65H04 65H10 65H20 65Y15 68W30 PDFBibTeX XMLCite \textit{H. Schenck}, Bull. Am. Math. Soc., New Ser. 53, No. 1, 179--186 (2016; Zbl 1325.00015) Full Text: DOI Link
Chen, Tianran; Li, Tien-Yien Homotopy continuation method for solving systems of nonlinear and polynomial equations. (English) Zbl 1337.65044 Commun. Inf. Syst. 15, No. 2, 119-307 (2015). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H20 65Y05 65H04 12Y05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{T.-Y. Li}, Commun. Inf. Syst. 15, No. 2, 119--307 (2015; Zbl 1337.65044) Full Text: DOI
Bates, Daniel J.; Davis, Brent R.; Kirby, Michael; Marks, Justin; Peterson, Chris The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids. (English) Zbl 1363.65100 Numer. Linear Algebra Appl. 22, No. 3, 453-464 (2015). MSC: 65K05 65F15 14Q99 90C90 65D10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Linear Algebra Appl. 22, No. 3, 453--464 (2015; Zbl 1363.65100) Full Text: DOI
Hauenstein, J. D.; Lerario, A.; Lundberg, E.; Mehta, D. Experiments on the zeros of harmonic polynomials using certified counting. (English) Zbl 1365.30002 Exp. Math. 24, No. 2, 133-141 (2015). MSC: 30C10 65G20 65H04 14Q05 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Exp. Math. 24, No. 2, 133--141 (2015; Zbl 1365.30002) 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 PDFBibTeX XMLCite \textit{Z. A. Griffin} and \textit{J. D. Hauenstein}, Adv. Geom. 15, No. 2, 173--187 (2015; Zbl 1309.65056) Full Text: DOI Link
Rodriguez, Jose Israel Combinatorial excess intersection. (English) Zbl 1316.14111 J. Symb. Comput. 68, Part 2, 297-307 (2015). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Qxx 65H20 68W30 PDFBibTeX XMLCite \textit{J. I. Rodriguez}, J. Symb. Comput. 68, Part 2, 297--307 (2015; Zbl 1316.14111) 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 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Appl. Math. Comput. 231, 619--633 (2014; Zbl 1410.65205) Full Text: DOI
Bates, Daniel J.; Davis, Brent; Eklund, David; Hanson, Eric; Peterson, Chris Perturbed homotopies for finding all isolated solutions of polynomial systems. (English) Zbl 1338.13046 Appl. Math. Comput. 247, 301-311 (2014). MSC: 13P15 65H10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Appl. Math. Comput. 247, 301--311 (2014; Zbl 1338.13046) Full Text: DOI
Decker, Wolfram Book review of: Daniel Bates et al., Numerically solving polynomial systems with Bertini. (English) Zbl 1314.00023 ACM Commun. Comput. Algebra 48, No. 2, 57-58 (2014). MSC: 00A17 65-02 12Y05 14Q15 65H04 65H10 65H20 65Y15 68W30 PDFBibTeX XMLCite \textit{W. Decker}, ACM Commun. Comput. Algebra 48, No. 2, 57--58 (2014; Zbl 1314.00023) Full Text: DOI
Torres-Muñoz, D.; Vazquez-Leal, H.; Hernandez-Martinez, L.; Sarmiento-Reyes, A. Improved spherical continuation algorithm with application to the double-bounded homotopy (DBH). (English) Zbl 1307.65071 Comput. Appl. Math. 33, No. 1, 147-161 (2014). MSC: 65H20 PDFBibTeX XMLCite \textit{D. Torres-Muñoz} et al., Comput. Appl. Math. 33, No. 1, 147--161 (2014; Zbl 1307.65071) Full Text: DOI
AL Rashed, Shawki; Pfister, Gerhard Numerical decomposition of affine algebraic varieties. (English) Zbl 1469.14115 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 22, No. 2, 193-215 (2014). MSC: 14Q15 13P10 PDFBibTeX XMLCite \textit{S. AL Rashed} and \textit{G. Pfister}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 22, No. 2, 193--215 (2014; Zbl 1469.14115) Full Text: arXiv
Bates, Daniel J.; Niemerg, Matthew Using monodromy to avoid high precision in homotopy continuation. (English) Zbl 1302.65137 Math. Comput. Sci. 8, No. 2, 253-262 (2014). MSC: 65H20 13P15 PDFBibTeX XMLCite \textit{D. J. Bates} and \textit{M. Niemerg}, Math. Comput. Sci. 8, No. 2, 253--262 (2014; Zbl 1302.65137) Full Text: DOI
Bates, Daniel J.; Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 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 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Lect. Notes Comput. Sci. 8592, 246--252 (2014; Zbl 1437.14061) Full Text: DOI
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 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). MSC: 14-04 14P05 14Q65 68W30 PDFBibTeX XMLCite \textit{D. A. Brake} et al., Lect. Notes Comput. Sci. 8592, 175--182 (2014; Zbl 1437.14005) Full Text: DOI
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J. A bootstrapping approach for computing multiple solutions of differential equations. (English) Zbl 1294.65085 J. Comput. Appl. Math. 258, 181-190 (2014). MSC: 65L80 34A09 65L10 14Q99 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Comput. Appl. Math. 258, 181--190 (2014; Zbl 1294.65085) Full Text: DOI
Dong, Bo; Yu, Bo; Yu, Yan A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1327.13102 Math. Comput. 83, No. 288, 1847-1868 (2014). MSC: 13P15 65H20 65H10 14Q99 68W30 PDFBibTeX XMLCite \textit{B. Dong} et al., Math. Comput. 83, No. 288, 1847--1868 (2014; Zbl 1327.13102) Full Text: DOI
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. (English) Zbl 1349.65558 J. Comput. Phys. 250, 332-346 (2013). MSC: 65N06 35L65 35Q35 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Comput. Phys. 250, 332--346 (2013; Zbl 1349.65558) Full Text: DOI
Vazquez-Leal, H.; Marin-Hernandez, A.; Khan, Y.; Yıldırım, A.; Filobello-Nino, U.; Castaneda-Sheissa, R.; Jimenez-Fernandez, V. M. Exploring collision-free path planning by using homotopy continuation methods. (English) Zbl 1366.70011 Appl. Math. Comput. 219, No. 14, 7514-7532 (2013). MSC: 70E60 PDFBibTeX XMLCite \textit{H. Vazquez-Leal} et al., Appl. Math. Comput. 219, No. 14, 7514--7532 (2013; Zbl 1366.70011) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. 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). Reviewer: Guillermo Matera (Buenos Aires) MSC: 65-02 12Y05 14Q15 65H04 65H10 65H20 65Y15 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numerically solving polynomial systems with Bertini. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1295.65057)
Hao, Wenrui; Hu, Bei; Sommese, Andrew J. Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. (English) Zbl 1271.92012 J. Sci. Comput. 56, No. 2, 350-365 (2013). MSC: 92C37 35R35 35Q92 92-08 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Sci. Comput. 56, No. 2, 350--365 (2013; Zbl 1271.92012) Full Text: DOI
Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Cell decomposition of almost smooth real algebraic surfaces. (English) Zbl 1271.65031 Numer. Algorithms 63, No. 4, 645-678 (2013). MSC: 65D17 14Q10 65H20 PDFBibTeX XMLCite \textit{G. M. Besana} et al., Numer. Algorithms 63, No. 4, 645--678 (2013; Zbl 1271.65031) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{A. Leykin}, Found. Comput. Math. 13, No. 2, 253--295 (2013; Zbl 1267.14075) 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 PDFBibTeX XMLCite \textit{J. D. Hauenstein}, Acta Appl. Math. 125, No. 1, 105--119 (2013; Zbl 1269.65048) Full Text: DOI arXiv
Eklund, David; Jost, Christine; Peterson, Chris A method to compute Segre classes of subschemes of projective space. (English) Zbl 1274.13044 J. Algebra Appl. 12, No. 2, Paper No. 1250142, 15 p. (2013). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 13Pxx 14Qxx 14C17 65H10 65E05 PDFBibTeX XMLCite \textit{D. Eklund} et al., J. Algebra Appl. 12, No. 2, Paper No. 1250142, 15 p. (2013; Zbl 1274.13044) Full Text: DOI arXiv
Bates, Daniel J.; Eklund, David; Peterson, Chris Computing intersection numbers of Chern classes. (English) Zbl 1263.14005 J. Symb. Comput. 50, 493-507 (2013). Reviewer: Susan Marie Cooper (Mount Pleasant) MSC: 14-04 14C17 14M06 13P10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., J. Symb. Comput. 50, 493--507 (2013; Zbl 1263.14005) Full Text: DOI
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J. Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. (English) Zbl 1303.92044 J. Comput. Appl. Math. 237, 326-334 (2013). MSC: 92C50 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Comput. Appl. Math. 237, 326--334 (2013; Zbl 1303.92044) Full Text: DOI
Chen, Tianran; Li, Tien-Yien Spherical projective path tracking for homotopy continuation methods. (English) Zbl 1308.65078 Commun. Inf. Syst. 12, No. 3, 195-220 (2012). MSC: 65H20 65H04 65H10 PDFBibTeX XMLCite \textit{T. Chen} and \textit{T.-Y. Li}, Commun. Inf. Syst. 12, No. 3, 195--220 (2012; Zbl 1308.65078) Full Text: DOI
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao Continuation along bifurcation branches for a tumor model with a necrotic core. (English) Zbl 1328.92032 J. Sci. Comput. 53, No. 2, 395-413 (2012). MSC: 92C50 65H20 65M06 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Sci. Comput. 53, No. 2, 395--413 (2012; Zbl 1328.92032) Full Text: DOI
Bates, Daniel J.; Sottile, Frank Khovanskii-Rolle continuation for real solutions. (English) Zbl 1231.14047 Found. Comput. Math. 11, No. 5, 563-587 (2011). MSC: 14P05 14Q99 65H10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} and \textit{F. Sottile}, Found. Comput. Math. 11, No. 5, 563--587 (2011; Zbl 1231.14047) Full Text: DOI arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. 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). Reviewer: Gabriela Cristescu (Arad) MSC: 14D05 14Q99 65H10 65H20 65E05 65Y05 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Contemp. Math. 556, 25--35 (2011; Zbl 1238.14007)
Rüffer, Björn S.; Wirth, Fabian R. Stability verification for monotone systems using homotopy algorithms. (English) Zbl 1229.93115 Numer. Algorithms 58, No. 4, 529-543 (2011). MSC: 93C55 47H07 65H20 93B28 PDFBibTeX XMLCite \textit{B. S. Rüffer} and \textit{F. R. Wirth}, Numer. Algorithms 58, No. 4, 529--543 (2011; Zbl 1229.93115) Full Text: DOI arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. Efficient path tracking methods. (English) Zbl 1230.65059 Numer. Algorithms 58, No. 4, 451-459 (2011). MSC: 65H20 14Q15 65L06 65H04 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numer. Algorithms 58, No. 4, 451--459 (2011; Zbl 1230.65059) Full Text: DOI
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Regenerative cascade homotopies for solving polynomial systems. (English) Zbl 1231.65190 Appl. Math. Comput. 218, No. 4, 1240-1246 (2011). MSC: 65M99 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Appl. Math. Comput. 218, No. 4, 1240--1246 (2011; Zbl 1231.65190) Full Text: DOI
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. (English) Zbl 1218.65043 Discrete Contin. Dyn. Syst., Ser. S 4, No. 6, 1413-1428 (2011). MSC: 65H04 65H20 65M06 65N06 92B05 PDFBibTeX XMLCite \textit{W. Hao} et al., Discrete Contin. Dyn. Syst., Ser. S 4, No. 6, 1413--1428 (2011; Zbl 1218.65043) Full Text: DOI
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Regeneration homotopies for solving systems of polynomials. (English) Zbl 1221.65121 Math. Comput. 80, No. 273, 345-377 (2011). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 13P05 68W30 65H04 14Q15 30C15 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Math. Comput. 80, No. 273, 345--377 (2011; Zbl 1221.65121) Full Text: DOI
Beltrán, Carlos; Pardo, Luis Miguel Fast linear homotopy to find approximate zeros of polynomial systems. (English) Zbl 1232.65075 Found. Comput. Math. 11, No. 1, 95-129 (2011). Reviewer: Przemyslaw Stpiczynski (Lublin) MSC: 65H10 65H04 65H20 12Y05 13P15 65Y20 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, Found. Comput. Math. 11, No. 1, 95--129 (2011; Zbl 1232.65075) Full Text: DOI
Di Rocco, Sandra; Eklund, David; Peterson, Chris; Sommese, Andrew J. Chern numbers of smooth varieties via homotopy continuation and intersection theory. (English) Zbl 1200.14014 J. Symb. Comput. 46, No. 1, 23-33 (2011). MSC: 14C15 14C17 14M07 PDFBibTeX XMLCite \textit{S. Di Rocco} et al., J. Symb. Comput. 46, No. 1, 23--33 (2011; Zbl 1200.14014) Full Text: DOI arXiv
Di Rocco, Sandra; Eklund, David; Sommese, Andrew J.; Wampler, Charles W. Algebraic \(\mathbb C^*\)-actions and the inverse kinematics of a general 6R manipulator. (English) Zbl 1208.65028 Appl. Math. Comput. 216, No. 9, 2512-2524 (2010). Reviewer: Jason Hanson (Redmond) MSC: 65D18 PDFBibTeX XMLCite \textit{S. Di Rocco} et al., Appl. Math. Comput. 216, No. 9, 2512--2524 (2010; Zbl 1208.65028) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. A numerical local dimension test for points on the solution set of a system of polynomial equations. (English) Zbl 1211.14066 SIAM J. Numer. Anal. 47, No. 5, 3608-3623 (2009). Reviewer: Josef Schicho (Linz) MSC: 14Q99 65H10 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., SIAM J. Numer. Anal. 47, No. 5, 3608--3623 (2009; Zbl 1211.14066) Full Text: DOI
Leykin, Anton; Sottile, Frank Galois groups of Schubert problems via homotopy computation. (English) Zbl 1210.14064 Math. Comput. 78, No. 267, 1749-1765 (2009). Reviewer: Emilia Mezzetti (Trieste) MSC: 14N15 65H20 PDFBibTeX XMLCite \textit{A. Leykin} and \textit{F. Sottile}, Math. Comput. 78, No. 267, 1749--1765 (2009; Zbl 1210.14064) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Migliore, Juan C.; Peterson, Chris; Sommese, Andrew J. 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). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14M06 65H10 65E05 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Contemp. Math. 496, 235--242 (2009; Zbl 1185.14041)
Lee, Tsung-Lin; Santoprete, Manuele Central configurations of the five-body problem with equal masses. (English) Zbl 1204.70013 Celest. Mech. Dyn. Astron. 104, No. 4, 369-381 (2009). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{T.-L. Lee} and \textit{M. Santoprete}, Celest. Mech. Dyn. Astron. 104, No. 4, 369--381 (2009; Zbl 1204.70013) Full Text: DOI arXiv