Helmer, Martin; Tsigaridas, Elias Segre-driven radicality testing. (English) Zbl 07783990 J. Symb. Comput. 122, Article ID 102262, 17 p. (2024). MSC: 68Wxx 13Pxx 14Qxx PDFBibTeX XMLCite \textit{M. Helmer} and \textit{E. Tsigaridas}, J. Symb. Comput. 122, Article ID 102262, 17 p. (2024; Zbl 07783990) Full Text: DOI arXiv
Becker, Ruben; Sagraloff, Michael Counting solutions of a polynomial system locally and exactly. (English) Zbl 07725347 J. Symb. Comput. 120, Article ID 102222, 38 p. (2024). MSC: 68W30 65H04 65H10 PDFBibTeX XMLCite \textit{R. Becker} and \textit{M. Sagraloff}, J. Symb. Comput. 120, Article ID 102222, 38 p. (2024; Zbl 07725347) Full Text: DOI arXiv
Cox, David A.; D’Andrea, Carlos Subresultants and the Shape Lemma. (English) Zbl 1516.13028 Math. Comput. 92, No. 343, 2355-2379 (2023). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 13P10 13P15 68W30 PDFBibTeX XMLCite \textit{D. A. Cox} and \textit{C. D'Andrea}, Math. Comput. 92, No. 343, 2355--2379 (2023; Zbl 1516.13028) Full Text: DOI arXiv
Bienstock, Daniel; Del Pia, Alberto; Hildebrand, Robert Complexity, exactness, and rationality in polynomial optimization. (English) Zbl 1515.90096 Math. Program. 197, No. 2 (B), 661-692 (2023). MSC: 90C23 PDFBibTeX XMLCite \textit{D. Bienstock} et al., Math. Program. 197, No. 2 (B), 661--692 (2023; Zbl 1515.90096) Full Text: DOI
Faugère, Jean-Charles; Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan Computing critical points for invariant algebraic systems. (English) Zbl 1499.14096 J. Symb. Comput. 116, 365-399 (2023). MSC: 14Q15 13A50 PDFBibTeX XMLCite \textit{J.-C. Faugère} et al., J. Symb. Comput. 116, 365--399 (2023; Zbl 1499.14096) Full Text: DOI arXiv
Katsamaki, Christina; Rouillier, Fabrice; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis PTOPO: computing the geometry and the topology of parametric curves. (English) Zbl 1498.14153 J. Symb. Comput. 115, 427-451 (2023). Reviewer: Jose Capco (Linz) MSC: 14Q65 14Q05 14Q15 PDFBibTeX XMLCite \textit{C. Katsamaki} et al., J. Symb. Comput. 115, 427--451 (2023; Zbl 1498.14153) Full Text: DOI
Tonelli-Cueto, Josué; Tsigaridas, Elias Condition numbers for the cube. I: Univariate polynomials and hypersurfaces. (English) Zbl 1505.65208 J. Symb. Comput. 115, 142-173 (2023). MSC: 65H14 PDFBibTeX XMLCite \textit{J. Tonelli-Cueto} and \textit{E. Tsigaridas}, J. Symb. Comput. 115, 142--173 (2023; Zbl 1505.65208) Full Text: DOI
Xiao, Shuijing; Zeng, Guangxing The invertibility of rational univariate representations. (English) Zbl 1520.13046 J. Syst. Sci. Complex. 35, No. 6, 2430-2451 (2022). MSC: 13P15 14Q20 PDFBibTeX XMLCite \textit{S. Xiao} and \textit{G. Zeng}, J. Syst. Sci. Complex. 35, No. 6, 2430--2451 (2022; Zbl 1520.13046) Full Text: DOI
Le, Huu Phuoc; Safey El Din, Mohab Solving parametric systems of polynomial equations over the reals through Hermite matrices. (English) Zbl 1487.14130 J. Symb. Comput. 112, 25-61 (2022). Reviewer: Beatriz Pascual Escudero (Madrid) MSC: 14Q30 13P99 12Dxx 14P10 PDFBibTeX XMLCite \textit{H. P. Le} and \textit{M. Safey El Din}, J. Symb. Comput. 112, 25--61 (2022; Zbl 1487.14130) 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 PDFBibTeX XMLCite \textit{T. Duff} et al., J. Symb. Comput. 109, 367--385 (2022; Zbl 1476.14103) Full Text: DOI arXiv
Xiao, Fanghui; Lu, Dong; Ma, Xiaodong; Wang, Dingkang An improvement of the rational representation for high-dimensional systems. (English) Zbl 1483.13048 J. Syst. Sci. Complex. 34, No. 6, 2410-2427 (2021). MSC: 13P15 68W30 PDFBibTeX XMLCite \textit{F. Xiao} et al., J. Syst. Sci. Complex. 34, No. 6, 2410--2427 (2021; Zbl 1483.13048) Full Text: DOI
Pan, Jian; Shang, Baoxin; Li, Zhe; Zhang, Shugong Computing PUR of zero-dimensional ideals of breadth at most one. (English) Zbl 1483.13046 J. Syst. Sci. Complex. 34, No. 6, 2396-2409 (2021). MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{J. Pan} et al., J. Syst. Sci. Complex. 34, No. 6, 2396--2409 (2021; Zbl 1483.13046) 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
Emiris, Ioannis Z.; Mantzaflaris, Angelos; Tsigaridas, Elias P. Multilinear polynomial systems: root isolation and bit complexity. (English) Zbl 1475.13051 J. Symb. Comput. 105, 145-164 (2021). MSC: 13P15 68W30 PDFBibTeX XMLCite \textit{I. Z. Emiris} et al., J. Symb. Comput. 105, 145--164 (2021; Zbl 1475.13051) Full Text: DOI HAL
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
M.-Alizadeh, Benyamin; Hashemi, Amir Deterministic normal position transformation and its applications. (English) Zbl 1456.13017 Theor. Comput. Sci. 842, 50-64 (2020). MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{B. M. -Alizadeh} and \textit{A. Hashemi}, Theor. Comput. Sci. 842, 50--64 (2020; Zbl 1456.13017) Full Text: DOI
Ceria, Michela; Mora, Teo; Sala, Massimiliano HELP: a sparse error locator polynomial for BCH codes. (English) Zbl 1458.94327 Appl. Algebra Eng. Commun. Comput. 31, No. 3-4, 215-233 (2020). MSC: 94B35 94B15 05E40 13P10 PDFBibTeX XMLCite \textit{M. Ceria} et al., Appl. Algebra Eng. Commun. Comput. 31, No. 3--4, 215--233 (2020; Zbl 1458.94327) Full Text: DOI
Friedland, Shmuel; Wang, Li Spectral norm of a symmetric tensor and its computation. (English) Zbl 1452.15013 Math. Comput. 89, No. 325, 2175-2215 (2020). MSC: 15A69 15A18 68W30 81P40 13P15 65H04 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{L. Wang}, Math. Comput. 89, No. 325, 2175--2215 (2020; Zbl 1452.15013) Full Text: DOI arXiv
Jin, Kai; Cheng, Jinsan On the topology and isotopic meshing of plane algebraic curves. (English) Zbl 1439.14106 J. Syst. Sci. Complex. 33, No. 1, 230-260 (2020). MSC: 14H50 14Q65 68W30 65D17 PDFBibTeX XMLCite \textit{K. Jin} and \textit{J. Cheng}, J. Syst. Sci. Complex. 33, No. 1, 230--260 (2020; Zbl 1439.14106) Full Text: DOI
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab Real root finding for low rank linear matrices. (English) Zbl 1445.13026 Appl. Algebra Eng. Commun. Comput. 31, No. 2, 101-133 (2020). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 13P15 14Q20 14Q30 68W30 PDFBibTeX XMLCite \textit{D. Henrion} et al., Appl. Algebra Eng. Commun. Comput. 31, No. 2, 101--133 (2020; Zbl 1445.13026) Full Text: DOI arXiv
Abbott, John; Bigatti, Anna Maria; Palezzato, Elisa; Robbiano, Lorenzo Computing and using minimal polynomials. (English) Zbl 1468.13063 J. Symb. Comput. 100, 137-163 (2020). Reviewer: Jeremiah Johnson (Manchester) MSC: 13P25 13P10 13-04 14Q10 68W30 PDFBibTeX XMLCite \textit{J. Abbott} et al., J. Symb. Comput. 100, 137--163 (2020; Zbl 1468.13063) Full Text: DOI arXiv
Guo, Feng; Phạm, Ti’ên-Son On types of degenerate critical points of real polynomial functions. (English) Zbl 1451.13079 J. Symb. Comput. 99, 108-126 (2020). MSC: 13P10 14P10 65K05 68W30 PDFBibTeX XMLCite \textit{F. Guo} and \textit{T.-S. Phạm}, J. Symb. Comput. 99, 108--126 (2020; Zbl 1451.13079) Full Text: DOI arXiv
Hyun, Seung Gyu; Neiger, Vincent; Rahkooy, Hamid; Schost, Éric Block-Krylov techniques in the context of sparse-FGLM algorithms. (English) Zbl 1446.68203 J. Symb. Comput. 98, 163-191 (2020). MSC: 68W30 13P10 13P15 PDFBibTeX XMLCite \textit{S. G. Hyun} et al., J. Symb. Comput. 98, 163--191 (2020; Zbl 1446.68203) Full Text: DOI arXiv
Dai, Liyun; Fan, Zhe; Xia, Bican; Zhang, Hanwen Logcf: an efficient tool for real root isolation. (English) Zbl 1494.68310 J. Syst. Sci. Complex. 32, No. 6, 1767-1782 (2019). MSC: 68W30 12D05 PDFBibTeX XMLCite \textit{L. Dai} et al., J. Syst. Sci. Complex. 32, No. 6, 1767--1782 (2019; Zbl 1494.68310) Full Text: DOI arXiv
Xiao, Shuijing; Zeng, Guangxing Solving the equality-constrained minimization problem of polynomial functions. (English) Zbl 1432.90147 J. Glob. Optim. 75, No. 3, 683-733 (2019). MSC: 90C30 68W30 12J15 12F10 PDFBibTeX XMLCite \textit{S. Xiao} and \textit{G. Zeng}, J. Glob. Optim. 75, No. 3, 683--733 (2019; Zbl 1432.90147) Full Text: DOI
Erhel, Jocelyne; Migot, Tangi Characterizations of solutions in geochemistry: existence, uniqueness, and precipitation diagram. (English) Zbl 1419.86004 Comput. Geosci. 23, No. 3, 523-535 (2019). MSC: 86A04 PDFBibTeX XMLCite \textit{J. Erhel} and \textit{T. Migot}, Comput. Geosci. 23, No. 3, 523--535 (2019; Zbl 1419.86004) Full Text: DOI HAL
Bouzidi, Yacine; Quadrat, Alban; Rouillier, Fabrice Certified non-conservative tests for the structural stability of discrete multidimensional systems. (English) Zbl 1430.93179 Multidimensional Syst. Signal Process. 30, No. 3, 1205-1235 (2019). MSC: 93D25 93B25 93C35 13P15 65H10 PDFBibTeX XMLCite \textit{Y. Bouzidi} et al., Multidimensional Syst. Signal Process. 30, No. 3, 1205--1235 (2019; Zbl 1430.93179) Full Text: DOI HAL
Strzebonski, Adam; Tsigaridas, Elias Univariate real root isolation in an extension field and applications. (English) Zbl 1408.68148 J. Symb. Comput. 92, 31-51 (2019). MSC: 68W30 13P15 PDFBibTeX XMLCite \textit{A. Strzebonski} and \textit{E. Tsigaridas}, J. Symb. Comput. 92, 31--51 (2019; Zbl 1408.68148) Full Text: DOI HAL
Naldi, Simone; Plaumann, Daniel Symbolic computation in hyperbolic programming. (English) Zbl 1403.14093 J. Algebra Appl. 17, No. 10, Article ID 1850192, 17 p. (2018). Reviewer: Jie Wang (Beijing) MSC: 14Q20 68W30 90C22 90C25 PDFBibTeX XMLCite \textit{S. Naldi} and \textit{D. Plaumann}, J. Algebra Appl. 17, No. 10, Article ID 1850192, 17 p. (2018; Zbl 1403.14093) Full Text: DOI arXiv
Safey El Din, Mohab; Schost, Éric Bit complexity for multi-homogeneous polynomial system solving – application to polynomial minimization. (English) Zbl 1391.13056 J. Symb. Comput. 87, 176-206 (2018). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 68W30 PDFBibTeX XMLCite \textit{M. Safey El Din} and \textit{É. Schost}, J. Symb. Comput. 87, 176--206 (2018; Zbl 1391.13056) Full Text: DOI arXiv
Mora, Teo An FGLM-like algorithm for computing the radical of a zero-dimensional ideal. (English) Zbl 1387.13061 J. Algebra Appl. 17, No. 1, Article ID 1850002, 17 p. (2018). Reviewer: Xiangui Zhao (Huizhou) MSC: 13P10 16N80 13P15 PDFBibTeX XMLCite \textit{T. Mora}, J. Algebra Appl. 17, No. 1, Article ID 1850002, 17 p. (2018; Zbl 1387.13061) Full Text: DOI
Koseleff, P.-V.; Pecker, D.; Rouillier, F.; Tran, C. Computing Chebyshev knot diagrams. (English) Zbl 1383.57010 J. Symb. Comput. 86, 120-141 (2018). MSC: 57M25 68W30 14H50 PDFBibTeX XMLCite \textit{P. V. Koseleff} et al., J. Symb. Comput. 86, 120--141 (2018; Zbl 1383.57010) Full Text: DOI arXiv
Becker, Ruben; Sagraloff, Michael; Sharma, Vikram; Yap, Chee A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration. (English) Zbl 1383.65043 J. Symb. Comput. 86, 51-96 (2018). MSC: 65H04 65E05 30C15 65Y20 PDFBibTeX XMLCite \textit{R. Becker} et al., J. Symb. Comput. 86, 51--96 (2018; Zbl 1383.65043) Full Text: DOI arXiv
Naldi, Simone Solving rank-constrained semidefinite programs in exact arithmetic. (English) Zbl 1380.90212 J. Symb. Comput. 85, 206-223 (2018). MSC: 90C22 PDFBibTeX XMLCite \textit{S. Naldi}, J. Symb. Comput. 85, 206--223 (2018; Zbl 1380.90212) Full Text: DOI
Huang, Cheng-Chao; Li, Jing-Cao; Xu, Ming; Li, Zhi-Bin Positive root isolation for poly-powers by exclusion and differentiation. (English) Zbl 1378.68200 J. Symb. Comput. 85, 148-169 (2018). MSC: 68W30 12D10 12Y05 92C42 PDFBibTeX XMLCite \textit{C.-C. Huang} et al., J. Symb. Comput. 85, 148--169 (2018; Zbl 1378.68200) Full Text: DOI
Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). (English) Zbl 1415.65121 J. Symb. Comput. 84, 147-171 (2018). MSC: 65H99 12D10 PDFBibTeX XMLCite \textit{T. Ayyildiz Akoglu} et al., J. Symb. Comput. 84, 147--171 (2018; Zbl 1415.65121) Full Text: DOI arXiv
Shang, Baoxin; Zhang, Shugong; Tan, Chang; Xia, Peng A simplified rational representation for positive-dimensional polynomial systems and SHEPWM equations solving. (English) Zbl 1402.14077 J. Syst. Sci. Complex. 30, No. 6, 1470-1482 (2017). MSC: 14Q15 13P10 65H10 PDFBibTeX XMLCite \textit{B. Shang} et al., J. Syst. Sci. Complex. 30, No. 6, 1470--1482 (2017; Zbl 1402.14077) Full Text: DOI
Batra, Prashant; Sharma, Vikram Near optimal subdivision algorithms for real root isolation. (English) Zbl 1375.65064 J. Symb. Comput. 83, 4-35 (2017). MSC: 65H04 65G30 PDFBibTeX XMLCite \textit{P. Batra} and \textit{V. Sharma}, J. Symb. Comput. 83, 4--35 (2017; Zbl 1375.65064) Full Text: DOI
Cifuentes, Diego; Parrilo, Pablo A. Chordal networks of polynomial ideals. (English) Zbl 1444.13037 SIAM J. Appl. Algebra Geom. 1, No. 1, 73-110 (2017). Reviewer: Francesca Cioffi (Napoli) MSC: 13P15 14Q99 68W30 PDFBibTeX XMLCite \textit{D. Cifuentes} and \textit{P. A. Parrilo}, SIAM J. Appl. Algebra Geom. 1, No. 1, 73--110 (2017; Zbl 1444.13037) Full Text: DOI arXiv
Collins, George E. On the maximum computing time of the bisection method for real root isolation. (English) Zbl 1358.65029 J. Symb. Comput. 79, Part 2, 444-456 (2017). MSC: 65H04 65Y20 PDFBibTeX XMLCite \textit{G. E. Collins}, J. Symb. Comput. 79, Part 2, 444--456 (2017; Zbl 1358.65029) Full Text: DOI
Machchhar, Jinesh; Elber, Gershon Revisiting the problem of zeros of univariate scalar Béziers. (English) Zbl 1417.65087 Comput. Aided Geom. Des. 43, 16-26 (2016). MSC: 65D17 PDFBibTeX XMLCite \textit{J. Machchhar} and \textit{G. Elber}, Comput. Aided Geom. Des. 43, 16--26 (2016; Zbl 1417.65087) Full Text: DOI
Boroujeni, Marziyeh; Basiri, Abdolali; Rahmany, Sajjad; Valibouze, Annick Finding solutions of fuzzy polynomial equations systems by an algebraic method. (English) Zbl 1373.65038 J. Intell. Fuzzy Syst. 30, No. 2, 791-800 (2016). Reviewer: Józef Drewniak (Rzeszów) MSC: 65H10 13P15 26E50 65H04 PDFBibTeX XMLCite \textit{M. Boroujeni} et al., J. Intell. Fuzzy Syst. 30, No. 2, 791--800 (2016; Zbl 1373.65038) Full Text: DOI
Wang, Jihua Bound the number of limit cycles bifurcating from center of polynomial Hamiltonian system via interval analysis. (English) Zbl 1355.34058 Chaos Solitons Fractals 87, 30-38 (2016). MSC: 34C07 34C08 37J20 PDFBibTeX XMLCite \textit{J. Wang}, Chaos Solitons Fractals 87, 30--38 (2016; Zbl 1355.34058) Full Text: DOI
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey Exact algorithms for linear matrix inequalities. (English) Zbl 1356.90102 SIAM J. Optim. 26, No. 4, 2512-2539 (2016). MSC: 90C22 68W30 14Q20 PDFBibTeX XMLCite \textit{D. Henrion} et al., SIAM J. Optim. 26, No. 4, 2512--2539 (2016; Zbl 1356.90102) Full Text: DOI arXiv
Bouzidi, Yacine; Lazard, Sylvain; Moroz, Guillaume; Pouget, Marc; Rouillier, Fabrice; Sagraloff, Michael Solving bivariate systems using rational univariate representations. (English) Zbl 1351.65033 J. Complexity 37, 34-75 (2016). MSC: 65H10 13P15 65H04 65Y20 PDFBibTeX XMLCite \textit{Y. Bouzidi} et al., J. Complexity 37, 34--75 (2016; Zbl 1351.65033) 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
Alcázar, Juan Gerardo; Hermoso, Carlos Involutions of polynomially parametrized surfaces. (English) Zbl 1343.68258 J. Comput. Appl. Math. 294, 23-38 (2016). MSC: 68U05 53A05 68T45 68W30 PDFBibTeX XMLCite \textit{J. G. Alcázar} and \textit{C. Hermoso}, J. Comput. Appl. Math. 294, 23--38 (2016; Zbl 1343.68258) Full Text: DOI arXiv
Massri, César Solving a sparse system using linear algebra. (English) Zbl 1322.14077 J. Symb. Comput. 73, 157-174 (2015). MSC: 14M25 13P15 13D02 14M12 15A18 PDFBibTeX XMLCite \textit{C. Massri}, J. Symb. Comput. 73, 157--174 (2016; Zbl 1322.14077) Full Text: DOI arXiv
Kerber, Michael; Sagraloff, Michael Root refinement for real polynomials using quadratic interval refinement. (English) Zbl 1309.65052 J. Comput. Appl. Math. 280, 377-395 (2015). MSC: 65H04 PDFBibTeX XMLCite \textit{M. Kerber} and \textit{M. Sagraloff}, J. Comput. Appl. Math. 280, 377--395 (2015; Zbl 1309.65052) Full Text: DOI
Lebreton, Romain Relaxed Hensel lifting of triangular sets. (English) Zbl 1386.68230 J. Symb. Comput. 68, Part 2, 230-258 (2015). MSC: 68W30 11S85 11Y16 13P05 PDFBibTeX XMLCite \textit{R. Lebreton}, J. Symb. Comput. 68, Part 2, 230--258 (2015; Zbl 1386.68230) Full Text: DOI
Cheng, Jin-San; Jin, Kai A generic position based method for real root isolation of zero-dimensional polynomial systems. (English) Zbl 1304.13048 J. Symb. Comput. 68, Part 1, 204-224 (2015). Reviewer: Amir Hashemi (Isfahan) MSC: 13P05 68W30 PDFBibTeX XMLCite \textit{J.-S. Cheng} and \textit{K. Jin}, J. Symb. Comput. 68, Part 1, 204--224 (2015; Zbl 1304.13048) Full Text: DOI arXiv
Bouzidi, Yacine; Lazard, Sylvain; Pouget, Marc; Rouillier, Fabrice Separating linear forms and rational univariate representations of bivariate systems. (English) Zbl 1328.13041 J. Symb. Comput. 68, Part 1, 84-119 (2015). MSC: 13P15 68W30 PDFBibTeX XMLCite \textit{Y. Bouzidi} et al., J. Symb. Comput. 68, Part 1, 84--119 (2015; Zbl 1328.13041) Full Text: DOI
Shen, Fei; Wu, Wenyuan; Xia, Bican Real root isolation of polynomial equations based on hybrid computation. (English) Zbl 1336.65080 Feng, Ruyong (ed.) et al., Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14–17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26–28, 2012. Contributed papers and invited talks. Berlin: Springer (ISBN 978-3-662-43798-8/hbk; 978-3-662-43799-5/ebook). 375-396 (2014). MSC: 65H04 65H10 65H20 65G30 PDFBibTeX XMLCite \textit{F. Shen} et al., in: Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14--17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26--28, 2012. Contributed papers and invited talks. Berlin: Springer. 375--396 (2014; Zbl 1336.65080) Full Text: DOI arXiv
Boulier, François; Chen, Changbo; Lemaire, François; Maza, Marc Moreno Real root isolation of regular chains. (English) Zbl 1336.65079 Feng, Ruyong (ed.) et al., Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14–17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26–28, 2012. Contributed papers and invited talks. Berlin: Springer (ISBN 978-3-662-43798-8/hbk; 978-3-662-43799-5/ebook). 33-48 (2014). MSC: 65H04 65H10 68W30 PDFBibTeX XMLCite \textit{F. Boulier} et al., in: Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14--17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26--28, 2012. Contributed papers and invited talks. Berlin: Springer. 33--48 (2014; Zbl 1336.65079) Full Text: DOI
Sagraloff, Michael On the complexity of the Descartes method when using approximate arithmetic. (English) Zbl 1321.65080 J. Symb. Comput. 65, 79-110 (2014). MSC: 65H04 65H05 26C10 PDFBibTeX XMLCite \textit{M. Sagraloff}, J. Symb. Comput. 65, 79--110 (2014; Zbl 1321.65080) Full Text: DOI
Qin, Xiaolin; Feng, Yong; Chen, Jingwei; Zhang, Jingzhong Parallel computation of real solving bivariate polynomial systems by zero-matching method. (English) Zbl 1311.68200 Appl. Math. Comput. 219, No. 14, 7533-7541 (2013). MSC: 68W30 13P15 65H10 PDFBibTeX XMLCite \textit{X. Qin} et al., Appl. Math. Comput. 219, No. 14, 7533--7541 (2013; Zbl 1311.68200) Full Text: DOI arXiv
Berberich, Eric; Emeliyanenko, Pavel; Kobel, Alexander; Sagraloff, Michael Exact symbolic-numeric computation of planar algebraic curves. (English) Zbl 1277.68300 Theor. Comput. Sci. 491, 1-32 (2013). MSC: 68W30 14Q05 14H50 PDFBibTeX XMLCite \textit{E. Berberich} et al., Theor. Comput. Sci. 491, 1--32 (2013; Zbl 1277.68300) Full Text: DOI arXiv
Gao, Xiao-Shan; Li, Wei; Yuan, Chun-Ming Intersection theory in differential algebraic geometry: generic intersections and the differential Chow form. (English) Zbl 1328.14010 Trans. Am. Math. Soc. 365, No. 9, 4575-4632 (2013). MSC: 14C05 12H05 13N15 14C17 14Q99 PDFBibTeX XMLCite \textit{X.-S. Gao} et al., Trans. Am. Math. Soc. 365, No. 9, 4575--4632 (2013; Zbl 1328.14010) Full Text: DOI arXiv
Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe Moment matrices, border bases and real radical computation. (English) Zbl 1276.13021 J. Symb. Comput. 51, 63-85 (2013). Reviewer: Chen Yuqun (Guangzhou) MSC: 13P10 16N80 12D10 13P15 PDFBibTeX XMLCite \textit{J.-B. Lasserre} et al., J. Symb. Comput. 51, 63--85 (2013; Zbl 1276.13021) Full Text: DOI arXiv
Herrero, María Isabel; Jeronimo, Gabriela; Sabia, Juan Affine solution sets of sparse polynomial systems. (English) Zbl 1264.13027 J. Symb. Comput. 51, 34-54 (2013). Reviewer: Amir Hashemi (Isfahan) MSC: 13P05 12D10 PDFBibTeX XMLCite \textit{M. I. Herrero} et al., J. Symb. Comput. 51, 34--54 (2013; Zbl 1264.13027) Full Text: DOI arXiv
Ayad, Ali; Fares, Ali; Ayyad, Youssef An algorithm for solving zero-dimensional parametric systems of polynomial homogeneous equations. (English) Zbl 1348.11098 J. Nonlinear Sci. Appl. 5, No. 6, 426-438 (2012). MSC: 11Y16 11R09 12D05 13P15 PDFBibTeX XMLCite \textit{A. Ayad} et al., J. Nonlinear Sci. Appl. 5, No. 6, 426--438 (2012; Zbl 1348.11098) Full Text: DOI Link
Collins, George E.; Krandick, Werner On the computing time of the continued fractions method. (English) Zbl 1250.65066 J. Symb. Comput. 47, No. 11, 1372-1412 (2012). Reviewer: Costică Moroşanu (Iaşi) MSC: 65H04 11A55 11B39 65Y20 12D10 26C10 30C15 PDFBibTeX XMLCite \textit{G. E. Collins} and \textit{W. Krandick}, J. Symb. Comput. 47, No. 11, 1372--1412 (2012; Zbl 1250.65066) Full Text: DOI
Cheng, Jin-San; Gao, Xiao-Shan; Guo, Leilei Root isolation of zero-dimensional polynomial systems with linear univariate representation. (English) Zbl 1254.65064 J. Symb. Comput. 47, No. 7, 843-858 (2012). Reviewer: Juri M. Rappoport (Moskva) MSC: 65H10 65H04 PDFBibTeX XMLCite \textit{J.-S. Cheng} et al., J. Symb. Comput. 47, No. 7, 843--858 (2012; Zbl 1254.65064) Full Text: DOI
Burr, Michael A.; Krahmer, Felix SqFreeEVAL: An (almost) optimal real-root isolation algorithm. (English) Zbl 1269.65046 J. Symb. Comput. 47, No. 2, 153-166 (2012). MSC: 65H04 26C10 65Y20 PDFBibTeX XMLCite \textit{M. A. Burr} and \textit{F. Krahmer}, J. Symb. Comput. 47, No. 2, 153--166 (2012; Zbl 1269.65046) Full Text: DOI
Ayad, A. Complexity of solving parametric polynomial systems. (English) Zbl 1334.12013 J. Math. Sci., New York 179, No. 6, 635-661 (2011) and Zap. Nauchn. Semin. POMI 381, 5-52 (2011). MSC: 12Y05 68W30 13P15 PDFBibTeX XMLCite \textit{A. Ayad}, J. Math. Sci., New York 179, No. 6, 635--661 (2011; Zbl 1334.12013) Full Text: DOI Link
Jüttler, Bert; Moore, Brian A quadratic clipping step with superquadratic convergence for bivariate polynomial systems. (English) Zbl 1254.65062 Math. Comput. Sci. 5, No. 2, 223-235 (2011). MSC: 65H04 30C15 PDFBibTeX XMLCite \textit{B. Jüttler} and \textit{B. Moore}, Math. Comput. Sci. 5, No. 2, 223--235 (2011; Zbl 1254.65062) 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
Zhang, ZhiHai; Fang, Tian; Xia, BiCan Real solution isolation with multiplicity of zero-dimensional triangular systems. (English) Zbl 1218.65046 Sci. China, Inf. Sci. 54, No. 1, 60-69 (2011). MSC: 65H10 65H04 12D05 12D10 12Y05 65G30 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Sci. China, Inf. Sci. 54, No. 1, 60--69 (2011; Zbl 1218.65046) Full Text: DOI Link
Mehlhorn, Kurt; Sagraloff, Michael A deterministic algorithm for isolating real roots of a real polynomial. (English) Zbl 1207.65048 J. Symb. Comput. 46, No. 1, 70-90 (2011). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65H04 65Y20 26C10 PDFBibTeX XMLCite \textit{K. Mehlhorn} and \textit{M. Sagraloff}, J. Symb. Comput. 46, No. 1, 70--90 (2011; Zbl 1207.65048) Full Text: DOI
Sagraloff, Michael A general approach to isolating roots of a bitstream polynomial. (English) Zbl 1229.65077 Math. Comput. Sci. 4, No. 4, 481-506 (2010). MSC: 65H04 65Y20 26C10 PDFBibTeX XMLCite \textit{M. Sagraloff}, Math. Comput. Sci. 4, No. 4, 481--506 (2010; Zbl 1229.65077) Full Text: DOI
Koseleff, P.-V.; Pecker, D.; Rouillier, F. The first rational Chebyshev knots. (English) Zbl 1202.57007 J. Symb. Comput. 45, No. 12, 1341-1358 (2010). MSC: 57M25 PDFBibTeX XMLCite \textit{P. V. Koseleff} et al., J. Symb. Comput. 45, No. 12, 1341--1358 (2010; Zbl 1202.57007) Full Text: DOI arXiv
Ayad, Ali On computing absolutely irreducible components of algebraic varieties with parameters. (English) Zbl 1198.13025 Computing 89, No. 1-2, 45-68 (2010). Reviewer: Juan Gerardo Alcazar (Alcala da Henares) MSC: 13P10 68W30 12D05 PDFBibTeX XMLCite \textit{A. Ayad}, Computing 89, No. 1--2, 45--68 (2010; Zbl 1198.13025) Full Text: DOI
Ayad, Ali A survey on the complexity of solving algebraic systems. (English) Zbl 1214.11136 Int. Math. Forum 5, No. 5-8, 333-353 (2010). MSC: 13P15 11Y16 68W30 14Q20 13P10 PDFBibTeX XMLCite \textit{A. Ayad}, Int. Math. Forum 5, No. 5--8, 333--353 (2010; Zbl 1214.11136) Full Text: Link
Lasserre, Jean Bernard Moments, positive polynomials and their applications. (English) Zbl 1211.90007 Imperial College Press Optimization Series 1. London: Imperial College Press (ISBN 978-1-84816-445-1/hbk; 978-1-84816-446-8/ebook). xxi, 361 p. (2010). Reviewer: Raymond Hemmecke (Garching) MSC: 90-02 90C22 90C25 78M05 14P10 13P15 PDFBibTeX XMLCite \textit{J. B. Lasserre}, Moments, positive polynomials and their applications. London: Imperial College Press (2010; Zbl 1211.90007) Full Text: Link
Graillat, Stef; Trébuchet, Philippe A new algorithm for computing certified numerical approximations of the roots of a zero-dimensional system. (English) Zbl 1237.65046 May, John P. (ed.), ISSAC 2009. Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, Seoul, July 28–31, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-609-0). 167-173 (2009). MSC: 65H04 PDFBibTeX XMLCite \textit{S. Graillat} and \textit{P. Trébuchet}, in: Proceedings of the 2009 international symposium on symbolic and algebraic computation, ISSAC 2009, Seoul, July 28--31, 2009. New York, NY: Association for Computing Machinery (ACM). 167--173 (2009; Zbl 1237.65046) Full Text: DOI
Cheng, Jin-San; Gao, Xiao-Shan; Li, Jia Root isolation for bivariate polynomial systems with local generic position method. (English) Zbl 1237.65045 May, John P. (ed.), ISSAC 2009. Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, Seoul, July 28–31, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-609-0). 103-109 (2009). MSC: 65H04 68W30 PDFBibTeX XMLCite \textit{J.-S. Cheng} et al., in: Proceedings of the 2009 international symposium on symbolic and algebraic computation, ISSAC 2009, Seoul, July 28--31, 2009. New York, NY: Association for Computing Machinery (ACM). 103--109 (2009; Zbl 1237.65045) Full Text: DOI
Liu, Ligang; Zhang, Lei; Lin, Binbin; Wang, Guojin Fast approach for computing roots of polynomials using cubic clipping. (English) Zbl 1205.65168 Comput. Aided Geom. Des. 26, No. 5, 547-559 (2009). MSC: 65H04 65D17 12D10 26C10 65H05 PDFBibTeX XMLCite \textit{L. Liu} et al., Comput. Aided Geom. Des. 26, No. 5, 547--559 (2009; Zbl 1205.65168) Full Text: DOI
Jeronimo, Gabriela; Perrucci, Daniel; Sabia, Juan A parametric representation of totally mixed Nash equilibria. (English) Zbl 1189.91017 Comput. Math. Appl. 58, No. 6, 1126-1141 (2009). MSC: 91A10 PDFBibTeX XMLCite \textit{G. Jeronimo} et al., Comput. Math. Appl. 58, No. 6, 1126--1141 (2009; Zbl 1189.91017) Full Text: DOI
Zhang, Xiaolei; Wang, Renhong Isolating the real roots of the piecewise algebraic variety. (English) Zbl 1165.14317 Comput. Math. Appl. 57, No. 4, 565-570 (2009). MSC: 14P10 14Q99 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{R. Wang}, Comput. Math. Appl. 57, No. 4, 565--570 (2009; Zbl 1165.14317) Full Text: DOI
Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P. On the asymptotic and practical complexity of solving bivariate systems over the reals. (English) Zbl 1169.13306 J. Symb. Comput. 44, No. 7, 818-835 (2009). MSC: 13P99 14P99 68W30 12Y05 14Q15 PDFBibTeX XMLCite \textit{D. I. Diochnos} et al., J. Symb. Comput. 44, No. 7, 818--835 (2009; Zbl 1169.13306) Full Text: DOI arXiv
Lazard, Daniel Thirty years of polynomial system solving, and now? (English) Zbl 1158.13314 J. Symb. Comput. 44, No. 3, 222-231 (2009). MSC: 13P10 68W30 14Q99 14P99 PDFBibTeX XMLCite \textit{D. Lazard}, J. Symb. Comput. 44, No. 3, 222--231 (2009; Zbl 1158.13314) Full Text: DOI
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp A unified approach to computing real and complex zeros of zero-dimensional ideals. (English) Zbl 1171.12001 Putinar, Mihai (ed.) et al., Emerging applications of algebraic geometry. Papers of the IMA workshops Optimization and control, January 16–20, 2007 and Applications in biology, dynamics, and statistics, March 5–9, 2007, held at IMA, Minneapolis, MN, USA. New York, NY: Springer (ISBN 978-0-387-09685-8/hbk). The IMA Volumes in Mathematics and its Applications 149, 125-155 (2009). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 12D10 12E12 12Y05 13A15 68W30 13P10 PDFBibTeX XMLCite \textit{J. B. Lasserre} et al., IMA Vol. Math. Appl. 149, 125--155 (2009; Zbl 1171.12001)
Akritas, Alkiviadis G.; Argyris, Andreas I.; Strzeboński, Adam W. FLQ, the fastest quadratic complexity bound on the values of positive roots of polynomials. (English) Zbl 1188.65062 Serdica J. Comput. 2, No. 2, 145-162 (2008). MSC: 65H04 26C10 65Y20 PDFBibTeX XMLCite \textit{A. G. Akritas} et al., Serdica J. Comput. 2, No. 2, 145--162 (2008; Zbl 1188.65062) Full Text: EuDML
Ouchi, Koji; Keyser, John Rational univariate reduction via toric resultants. (English) Zbl 1174.13041 J. Symb. Comput. 43, No. 11, 811-844 (2008). MSC: 13P10 14Q99 14M25 PDFBibTeX XMLCite \textit{K. Ouchi} and \textit{J. Keyser}, J. Symb. Comput. 43, No. 11, 811--844 (2008; Zbl 1174.13041) Full Text: DOI
Mourrain, Bernard; Trébuchet, Philippe Stable normal forms for polynomial system solving. (English) Zbl 1159.68045 Theor. Comput. Sci. 409, No. 2, 229-240 (2008). MSC: 68W30 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{P. Trébuchet}, Theor. Comput. Sci. 409, No. 2, 229--240 (2008; Zbl 1159.68045) Full Text: DOI
Emiris, Ioannis Z.; Tsigaridas, Elias P. Real algebraic numbers and polynomial systems of small degree. (English) Zbl 1162.68825 Theor. Comput. Sci. 409, No. 2, 186-199 (2008). MSC: 68W30 PDFBibTeX XMLCite \textit{I. Z. Emiris} and \textit{E. P. Tsigaridas}, Theor. Comput. Sci. 409, No. 2, 186--199 (2008; Zbl 1162.68825) Full Text: DOI
Akritas, Alkiviadis G.; Strzeboński, Adam W.; Vigklas, Panagiotis S. On the various bisection methods derived from Vincent’s theorem. (English) Zbl 1152.65055 Serdica J. Comput. 2, No. 1, 89-104 (2008). MSC: 65H05 65E05 12Y05 26C10 30C15 13P05 PDFBibTeX XMLCite \textit{A. G. Akritas} et al., Serdica J. Comput. 2, No. 1, 89--104 (2008; Zbl 1152.65055) Full Text: EuDML
Durvye, Clémence; Lecerf, Grégoire A concise proof of the Kronecker polynomial system solver from scratch. (English) Zbl 1134.14317 Expo. Math. 26, No. 2, 101-139 (2008). MSC: 14Q15 13P10 68W30 PDFBibTeX XMLCite \textit{C. Durvye} and \textit{G. Lecerf}, Expo. Math. 26, No. 2, 101--139 (2008; Zbl 1134.14317) Full Text: DOI
Janovitz-Freireich, Itnuit; Rónyai, Lajos; Szántó, Ágnes Approximate radical for clusters: A global approach using Gaussian elimination or SVD. (English) Zbl 1140.65038 Math. Comput. Sci. 1, No. 2, 393-425 (2007). Reviewer: Zhen Mei (Toronto) MSC: 65H10 12Y05 65F15 13P05 65F20 PDFBibTeX XMLCite \textit{I. Janovitz-Freireich} et al., Math. Comput. Sci. 1, No. 2, 393--425 (2007; Zbl 1140.65038) Full Text: DOI arXiv Link
Gu, Nong; Lazard, Daniel; Rouillier, Fabrice; Xiang, Yong Using computer algebra to certify the global convergence of a numerical optimization process. (English) Zbl 1134.94314 Math. Comput. Sci. 1, No. 2, 291-304 (2007). MSC: 94A12 13P10 14P10 65K99 68W30 PDFBibTeX XMLCite \textit{N. Gu} et al., Math. Comput. Sci. 1, No. 2, 291--304 (2007; Zbl 1134.94314) Full Text: DOI
El Din, Mohab Safey Testing sign conditions on a multivariate polynomial and applications. (English) Zbl 1126.14068 Math. Comput. Sci. 1, No. 1, 177-207 (2007). MSC: 14Q20 14P10 PDFBibTeX XMLCite \textit{M. S. El Din}, Math. Comput. Sci. 1, No. 1, 177--207 (2007; Zbl 1126.14068) Full Text: DOI Link
Mourrain, Bernard Pythagore’s dilemma, symbolic-numeric computation, and the border basis method. (English) Zbl 1117.65076 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, 223-243 (2007). MSC: 65H10 12Y05 26C10 PDFBibTeX XMLCite \textit{B. Mourrain}, in: Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkhäuser. 223--243 (2007; Zbl 1117.65076)
Elkadi, Mohamed; Mourrain, Bernard Introduction to the solution of polynomial systems. (Introduction à la résolution des systèmes polynomiaux.) (French) Zbl 1127.13001 Mathématiques & Applications (Berlin) 59. Berlin: Springer (ISBN 978-3-540-71646-4/pbk). 305 p. (2007). Reviewer: Peter Schenzel (Halle) MSC: 13-01 13P10 14Q20 65F15 08-01 14-01 68-01 PDFBibTeX XMLCite \textit{M. Elkadi} and \textit{B. Mourrain}, Introduction à la résolution des systèmes polynomiaux. Berlin: Springer (2007; Zbl 1127.13001) Full Text: DOI
Mezzarobba, Marc; El Din, Mohab Safey Computing roadmaps in smooth real algebraic sets. (English) Zbl 1192.65058 Dumas, Jean-Guillaume (ed.), Transgressive computing 2006. A conference in honor of Jean Della Dora, Granada, España, April 24–26, 2006. Proceedings. Granada: Universidad de Granada (ISBN 84-689-8381-0/pbk). 327-338 (2006). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Mezzarobba} and \textit{M. S. El Din}, in: Transgressive computing 2006. A conference in honor of Jean Della Dora, Granada, España, April 24--26, 2006. Proceedings. Granada: Universidad de Granada. 327--338 (2006; Zbl 1192.65058)
Chèze, Guillaume; Galligo, André From an approximate to an exact absolute polynomial factorization. (English) Zbl 1134.13022 J. Symb. Comput. 41, No. 6, 682-696 (2006). Reviewer: Salah Najib (Lille) MSC: 13P05 12D05 12E05 12Y05 68Q25 68W30 68W40 PDFBibTeX XMLCite \textit{G. Chèze} and \textit{A. Galligo}, J. Symb. Comput. 41, No. 6, 682--696 (2006; Zbl 1134.13022) Full Text: DOI
Krandick, Werner; Mehlhorn, Kurt New bounds for the Descartes method. (English) Zbl 1158.12001 J. Symb. Comput. 41, No. 1, 49-66 (2006). MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{W. Krandick} and \textit{K. Mehlhorn}, J. Symb. Comput. 41, No. 1, 49--66 (2006; Zbl 1158.12001) Full Text: DOI
Revol, Nathalie; Rouillier, Fabrice Motivations for an arbitrary precision interval arithmetic and the MPFI library. (English) Zbl 1078.65543 Reliab. Comput. 11, No. 4, 275-290 (2005). MSC: 65G30 65H05 PDFBibTeX XMLCite \textit{N. Revol} and \textit{F. Rouillier}, Reliab. Comput. 11, No. 4, 275--290 (2005; Zbl 1078.65543) Full Text: DOI Link
Emiris, Ioannis Z.; Pan, Victor Y. Improved algorithms for computing determinants and resultants. (English) Zbl 1101.68981 J. Complexity 21, No. 1, 43-71 (2005). MSC: 68W20 68W30 PDFBibTeX XMLCite \textit{I. Z. Emiris} and \textit{V. Y. Pan}, J. Complexity 21, No. 1, 43--71 (2005; Zbl 1101.68981) Full Text: DOI Backlinks: MO
Mourrain, Bernard; Técourt, Jean-Pierre; Teillaud, Monique On the computation of an arrangement of quadrics in 3D. (English) Zbl 1063.65018 Comput. Geom. 30, No. 2, 145-164 (2005). MSC: 65D17 65G20 65H10 PDFBibTeX XMLCite \textit{B. Mourrain} et al., Comput. Geom. 30, No. 2, 145--164 (2005; Zbl 1063.65018) Full Text: DOI
Bompadre, A.; Matera, G.; Wachenchauzer, R.; Waissbein, A. Polynomial equation solving by lifting procedures for ramified fibers. (English) Zbl 1060.65054 Theor. Comput. Sci. 315, No. 2-3, 335-369 (2004). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65H10 12Y05 26C10 PDFBibTeX XMLCite \textit{A. Bompadre} et al., Theor. Comput. Sci. 315, No. 2--3, 335--369 (2004; Zbl 1060.65054) Full Text: DOI