Cheng, Sibo; Liu, Che; Guo, Yike; Arcucci, Rossella Efficient deep data assimilation with sparse observations and time-varying sensors. (English) Zbl 07807988 J. Comput. Phys. 496, Article ID 112581, 20 p. (2024). MSC: 68Txx 65Kxx 90Cxx PDFBibTeX XMLCite \textit{S. Cheng} et al., J. Comput. Phys. 496, Article ID 112581, 20 p. (2024; Zbl 07807988) Full Text: DOI arXiv
Nishry, Alon; Wennman, Aron The forbidden region for random zeros: appearance of quadrature domains. (English) Zbl 07793236 Commun. Pure Appl. Math. 77, No. 3, 1766-1849 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65K10 65D20 65E05 PDFBibTeX XMLCite \textit{A. Nishry} and \textit{A. Wennman}, Commun. Pure Appl. Math. 77, No. 3, 1766--1849 (2024; Zbl 07793236) Full Text: DOI arXiv OA License
Sprangers, Brent; Vannieuwenhoven, Nick Group-invariant tensor train networks for supervised learning. (English) Zbl 1527.15027 SIAM J. Math. Data Sci. 5, No. 4, 829-853 (2023). MSC: 15A69 15A04 68T05 68T09 65F15 20C30 PDFBibTeX XMLCite \textit{B. Sprangers} and \textit{N. Vannieuwenhoven}, SIAM J. Math. Data Sci. 5, No. 4, 829--853 (2023; Zbl 1527.15027) Full Text: DOI arXiv
Zhang, Ying; Zhang, Wenlong The \(q\)-derivative formula and determinant identities. (English) Zbl 1519.05029 Linear Multilinear Algebra 71, No. 14, 2325-2336 (2023). MSC: 05A30 05A19 65F40 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Zhang}, Linear Multilinear Algebra 71, No. 14, 2325--2336 (2023; Zbl 1519.05029) Full Text: DOI
Dick, Josef; Ehler, Martin; Gräf, Manuel; Krattenthaler, Christian Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. (English) Zbl 07698576 Constr. Approx. 57, No. 3, 983-1026 (2023). MSC: 65T40 65T50 42C10 42B10 43A65 43A85 60B10 PDFBibTeX XMLCite \textit{J. Dick} et al., Constr. Approx. 57, No. 3, 983--1026 (2023; Zbl 07698576) Full Text: DOI arXiv
Eklund, David The numerical algebraic geometry of bottlenecks. (English) Zbl 1497.14123 Adv. Appl. Math. 142, Article ID 102416, 20 p. (2023). MSC: 14Q65 14Q20 65D18 65H14 PDFBibTeX XMLCite \textit{D. Eklund}, Adv. Appl. Math. 142, Article ID 102416, 20 p. (2023; Zbl 1497.14123) Full Text: DOI arXiv
Bender, Matías R.; Telen, Simon Toric eigenvalue methods for solving sparse polynomial systems. (English) Zbl 1502.14122 Math. Comput. 91, No. 337, 2397-2429 (2022). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14M25 65H04 65H10 PDFBibTeX XMLCite \textit{M. R. Bender} and \textit{S. Telen}, Math. Comput. 91, No. 337, 2397--2429 (2022; Zbl 1502.14122) Full Text: DOI arXiv
Iglesias, Rodrigo; Natale, Mauro A fast Fourier transform for the Johnson graph. (English) Zbl 1502.65288 J. Fourier Anal. Appl. 28, No. 4, Paper No. 62, 31 p. (2022). MSC: 65T50 43A30 PDFBibTeX XMLCite \textit{R. Iglesias} and \textit{M. Natale}, J. Fourier Anal. Appl. 28, No. 4, Paper No. 62, 31 p. (2022; Zbl 1502.65288) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Matusevich, Laura; Peterson, Chris; Sherman, Samantha N. Binomiality testing and computing sparse polynomials via witness sets. (English) Zbl 1498.14152 Vietnam J. Math. 50, No. 3, 653-678 (2022). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 14Q65 65H14 68W30 14T10 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Vietnam J. Math. 50, No. 3, 653--678 (2022; Zbl 1498.14152) Full Text: DOI
Cheng, Sibo; Prentice, I. Colin; Huang, Yuhan; Jin, Yufang; Guo, Yi-Ke; Arcucci, Rossella Data-driven surrogate model with latent data assimilation: application to wildfire forecasting. (English) Zbl 07540351 J. Comput. Phys. 464, Article ID 111302, 24 p. (2022). MSC: 80Axx 68Txx 65Cxx PDFBibTeX XMLCite \textit{S. Cheng} et al., J. Comput. Phys. 464, Article ID 111302, 24 p. (2022; Zbl 07540351) Full Text: DOI
Vill, Julian; Michałek, Mateusz; Taveira Blomenhofer, Alexander Ideals of spaces of degenerate matrices. (English) Zbl 1495.15038 Linear Algebra Appl. 648, 56-69 (2022). Reviewer: Alessandra Bernardi (Trento) MSC: 15A69 15A30 15A72 14Q20 14J45 13P10 65H14 PDFBibTeX XMLCite \textit{J. Vill} et al., Linear Algebra Appl. 648, 56--69 (2022; Zbl 1495.15038) 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
Jakubczyk, Paweł; Wal, Andrzej; Kaczor, Michał; Jakubczyk, Dorota; Łabuz, Mirosław; Milewski, Jan A Maple package for combinatorial aspects of Bethe ansatz. (English) Zbl 07690835 Comput. Phys. Commun. 261, Article ID 107720, 14 p. (2021). MSC: 82B23 65T60 82D40 82-04 PDFBibTeX XMLCite \textit{P. Jakubczyk} et al., Comput. Phys. Commun. 261, Article ID 107720, 14 p. (2021; Zbl 07690835) Full Text: DOI
Lim, Lek-Heng Tensors in computations. (English) Zbl 1512.65079 Acta Numerica 30, 555-764 (2021). MSC: 65F99 15A69 65-02 PDFBibTeX XMLCite \textit{L.-H. Lim}, Acta Numerica 30, 555--764 (2021; Zbl 1512.65079) Full Text: DOI arXiv
Ehler, Martin; Gräf, Manuel; Neumayer, Sebastian; Steidl, Gabriele Curve based approximation of measures on manifolds by discrepancy minimization. (English) Zbl 1491.65048 Found. Comput. Math. 21, No. 6, 1595-1642 (2021). MSC: 65K10 90C26 PDFBibTeX XMLCite \textit{M. Ehler} et al., Found. Comput. Math. 21, No. 6, 1595--1642 (2021; Zbl 1491.65048) Full Text: DOI arXiv
Alcázar, Juan Gerardo; Hermoso, Carlos Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. (English) Zbl 1480.65042 Comput. Aided Geom. Des. 91, Article ID 102048, 18 p. (2021). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{J. G. Alcázar} and \textit{C. Hermoso}, Comput. Aided Geom. Des. 91, Article ID 102048, 18 p. (2021; Zbl 1480.65042) Full Text: DOI
Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. (English) Zbl 1468.14093 Math. Comput. 90, No. 329, 1407-1433 (2021). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14N15 65H10 14Q65 PDFBibTeX XMLCite \textit{A. Leykin} et al., Math. Comput. 90, No. 329, 1407--1433 (2021; Zbl 1468.14093) 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
Hauenstein, Jonathan D.; Leykin, Anton; Rodriguez, Jose Israel; Sottile, Frank A numerical toolkit for multiprojective varieties. (English) Zbl 1451.65065 Math. Comput. 90, No. 327, 413-440 (2021). MSC: 65H14 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Math. Comput. 90, No. 327, 413--440 (2021; Zbl 1451.65065) Full Text: DOI arXiv
Telen, Simon Numerical root finding via Cox rings. (English) Zbl 1442.14187 J. Pure Appl. Algebra 224, No. 9, Article ID 106367, 26 p. (2020). MSC: 14Q65 14M25 65H04 65H10 65H17 PDFBibTeX XMLCite \textit{S. Telen}, J. Pure Appl. Algebra 224, No. 9, Article ID 106367, 26 p. (2020; Zbl 1442.14187) Full Text: DOI arXiv
Di Rocco, Sandra; Eklund, David; Weinstein, Madeleine The bottleneck degree of algebraic varieties. (English) Zbl 1505.14122 SIAM J. Appl. Algebra Geom. 4, No. 1, 227-253 (2020). MSC: 14Q20 65D18 68Q32 PDFBibTeX XMLCite \textit{S. Di Rocco} et al., SIAM J. Appl. Algebra Geom. 4, No. 1, 227--253 (2020; Zbl 1505.14122) Full Text: DOI arXiv
Sawa, Masanori; Uchida, Yukihiro Algebro-geometric aspects of the Christoffel-Darboux kernels for classical orthogonal polynomials. (English) Zbl 1433.42032 Trans. Am. Math. Soc. 373, No. 2, 1243-1264 (2020). MSC: 42C05 33C45 65D32 11D72 PDFBibTeX XMLCite \textit{M. Sawa} and \textit{Y. Uchida}, Trans. Am. Math. Soc. 373, No. 2, 1243--1264 (2020; Zbl 1433.42032) Full Text: DOI
Giménez, Nardo; Matera, Guillermo On the bit complexity of polynomial system solving. (English) Zbl 1432.13020 J. Complexity 51, 20-67 (2019). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 65Y20 65H10 PDFBibTeX XMLCite \textit{N. Giménez} and \textit{G. Matera}, J. Complexity 51, 20--67 (2019; Zbl 1432.13020) Full Text: DOI arXiv
Blasco, Angel; Pérez-Díaz, Sonia An in depth analysis, via resultants, of the singularities of a parametric curve. (English) Zbl 1439.14171 Comput. Aided Geom. Des. 68, 22-47 (2019). Reviewer: Franz Winkler (Linz) MSC: 14Q05 65D18 14Q65 PDFBibTeX XMLCite \textit{A. Blasco} and \textit{S. Pérez-Díaz}, Comput. Aided Geom. Des. 68, 22--47 (2019; Zbl 1439.14171) Full Text: DOI Link
Ehler, Martin; Gräf, Manuel Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. (English) Zbl 1440.42128 Constr. Approx. 49, No. 1, 29-58 (2019). MSC: 42C10 65D32 46E22 33C45 14M15 PDFBibTeX XMLCite \textit{M. Ehler} and \textit{M. Gräf}, Constr. Approx. 49, No. 1, 29--58 (2019; Zbl 1440.42128) Full Text: DOI arXiv
Niehoff, Benjamin E. Faster tensor canonicalization. (English) Zbl 07624415 Comput. Phys. Commun. 228, 123-145 (2018). MSC: 65Fxx 15A21 68W30 PDFBibTeX XMLCite \textit{B. E. Niehoff}, Comput. Phys. Commun. 228, 123--145 (2018; Zbl 07624415) Full Text: DOI arXiv
Tsiganov, Andrey V. On discretization of the Euler top. (English) Zbl 1412.37060 Regul. Chaotic Dyn. 23, No. 6, 785-796 (2018). MSC: 37J35 70H06 65L12 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 23, No. 6, 785--796 (2018; Zbl 1412.37060) Full Text: DOI arXiv
Pérez-Díaz, Sonia Analysis and construction of rational curve parametrizations with non-ordinary singularities. (English) Zbl 1439.14173 Comput. Aided Geom. Des. 66, 31-51 (2018). Reviewer: Franz Winkler (Linz) MSC: 14Q05 14H20 14H50 65D17 PDFBibTeX XMLCite \textit{S. Pérez-Díaz}, Comput. Aided Geom. Des. 66, 31--51 (2018; Zbl 1439.14173) Full Text: DOI
Chen, Tianran; Davis, Robert; Mehta, Dhagash Counting equilibria of the Kuramoto model using birationally invariant intersection index. (English) Zbl 1408.13077 SIAM J. Appl. Algebra Geom. 2, No. 4, 489-507 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13P25 14M25 52B20 65H10 14Q99 PDFBibTeX XMLCite \textit{T. Chen} et al., SIAM J. Appl. Algebra Geom. 2, No. 4, 489--507 (2018; Zbl 1408.13077) Full Text: DOI arXiv
Telen, Simon; Mourrain, Bernard; Barel, Marc Van Solving polynomial systems via truncated normal forms. (English) Zbl 1401.65054 SIAM J. Matrix Anal. Appl. 39, No. 3, 1421-1447 (2018). MSC: 65H10 65H04 14Q99 PDFBibTeX XMLCite \textit{S. Telen} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1421--1447 (2018; Zbl 1401.65054) Full Text: DOI arXiv
Harris, Corey; Lowengrub, Daniel The Chern-Mather class of the multiview variety. (English) Zbl 1422.14016 Commun. Algebra 46, No. 6, 2488-2499 (2018). MSC: 14C17 14E05 14N10 51N35 57R20 14Q15 65D18 PDFBibTeX XMLCite \textit{C. Harris} and \textit{D. Lowengrub}, Commun. Algebra 46, No. 6, 2488--2499 (2018; Zbl 1422.14016) Full Text: DOI arXiv
Riener, Cordian; Schweighofer, Markus Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions. (English) Zbl 1386.65092 J. Complexity 45, 22-54 (2018). MSC: 65D30 PDFBibTeX XMLCite \textit{C. Riener} and \textit{M. Schweighofer}, J. Complexity 45, 22--54 (2018; Zbl 1386.65092) Full Text: DOI arXiv
Wu, Sheng-Jhih; Chu, Moody T. Solving an inverse eigenvalue problem with triple constraints on eigenvalues, singular values, and diagonal elements. (English) Zbl 1376.65060 Inverse Probl. 33, No. 8, Article ID 085003, 21 p. (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F18 15B10 90C30 PDFBibTeX XMLCite \textit{S.-J. Wu} and \textit{M. T. Chu}, Inverse Probl. 33, No. 8, Article ID 085003, 21 p. (2017; Zbl 1376.65060) Full Text: DOI
Poloni, Federico; Del Corso, Gianna M. Counting Fiedler pencils with repetitions. (English) Zbl 1372.65112 Linear Algebra Appl. 532, 463-499 (2017). MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{F. Poloni} and \textit{G. M. Del Corso}, Linear Algebra Appl. 532, 463--499 (2017; Zbl 1372.65112) Full Text: DOI Link
Schneider, Florian; Roth, Andreas; Kall, Jochen First-order quarter- and mixed-moment realizability theory and Kershaw closures for a Fokker-Planck equation in two space dimensions. (English) Zbl 1364.35370 Kinet. Relat. Models 10, No. 4, 1127-1161 (2017). MSC: 35Q84 35L40 65M08 65M70 82C31 PDFBibTeX XMLCite \textit{F. Schneider} et al., Kinet. Relat. Models 10, No. 4, 1127--1161 (2017; Zbl 1364.35370) Full Text: DOI arXiv
Harris, Corey Computing Segre classes in arbitrary projective varieties. (English) Zbl 1357.14070 J. Symb. Comput. 82, 26-37 (2017). MSC: 14Q15 14C17 14C15 14N05 65D99 68W30 PDFBibTeX XMLCite \textit{C. Harris}, J. Symb. Comput. 82, 26--37 (2017; Zbl 1357.14070) Full Text: DOI arXiv
Ongie, Greg; Jacob, Mathews Off-the-grid recovery of piecewise constant images from few Fourier samples. (English) Zbl 1372.94198 SIAM J. Imaging Sci. 9, No. 3, 1004-1041 (2016). MSC: 94A08 94A20 92C55 94A12 42B05 65R32 PDFBibTeX XMLCite \textit{G. Ongie} and \textit{M. Jacob}, SIAM J. Imaging Sci. 9, No. 3, 1004--1041 (2016; Zbl 1372.94198) Full Text: DOI arXiv
Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. Complexity of linear circuits and geometry. (English) Zbl 1345.68157 Found. Comput. Math. 16, No. 3, 599-635 (2016). MSC: 68Q17 15B05 65T50 PDFBibTeX XMLCite \textit{F. Gesmundo} et al., Found. Comput. Math. 16, No. 3, 599--635 (2016; Zbl 1345.68157) Full Text: DOI arXiv
Michałek, Mateusz; Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr Exponential varieties. (English) Zbl 1345.14048 Proc. Lond. Math. Soc. (3) 112, No. 1, 27-56 (2016). Reviewer: Michael R. DiPasquale (Stillwater) MSC: 14M99 52A20 62E99 65C60 PDFBibTeX XMLCite \textit{M. Michałek} et al., Proc. Lond. Math. Soc. (3) 112, No. 1, 27--56 (2016; Zbl 1345.14048) Full Text: DOI arXiv
Botbol, Nicolás; Dickenstein, Alicia Implicitization of rational hypersurfaces via linear syzygies: a practical overview. (English) Zbl 1375.14199 J. Symb. Comput. 74, 493-512 (2016). MSC: 14Q05 13D02 65D18 PDFBibTeX XMLCite \textit{N. Botbol} and \textit{A. Dickenstein}, J. Symb. Comput. 74, 493--512 (2016; Zbl 1375.14199) Full Text: DOI arXiv
Grigoriev, Dima; Koshevoy, Gleb Complexity of tropical Schur polynomials. (English) Zbl 1329.65060 J. Symb. Comput. 74, 46-54 (2016). MSC: 65D20 65Y20 16Y60 12K10 PDFBibTeX XMLCite \textit{D. Grigoriev} and \textit{G. Koshevoy}, J. Symb. Comput. 74, 46--54 (2016; Zbl 1329.65060) Full Text: DOI
Feng, Ruyong; Shen, Li-Yong Computing the intersections of three conics according to their Jacobian curve. (English) Zbl 1323.51009 J. Symb. Comput. 73, 175-191 (2015). Reviewer: Rolf Riesinger (Wien) MSC: 51N35 68U05 65K05 PDFBibTeX XMLCite \textit{R. Feng} and \textit{L.-Y. Shen}, J. Symb. Comput. 73, 175--191 (2016; Zbl 1323.51009) Full Text: DOI
Caffarel, Michel Talking across fields: a physicist’s presentation of some mathematical aspects of quantum Monte Carlo methods. (English. French summary) Zbl 1331.81037 Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 949-972 (2015). MSC: 81-08 81V70 82B80 65C05 PDFBibTeX XMLCite \textit{M. Caffarel}, Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 949--972 (2015; Zbl 1331.81037) Full Text: DOI
Jiang, Yunjiang Mixing time of Metropolis chain based on random transposition walk converging to multivariate Ewens distribution. (English) Zbl 1330.60089 Ann. Appl. Probab. 25, No. 3, 1581-1615 (2015). MSC: 60J22 60J05 05E05 65C40 PDFBibTeX XMLCite \textit{Y. Jiang}, Ann. Appl. Probab. 25, No. 3, 1581--1615 (2015; Zbl 1330.60089) Full Text: DOI arXiv Euclid
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
Friedland, Shmuel; Ottaviani, Giorgio The number of singular vector tuples and uniqueness of best rank-one approximation of tensors. (English) Zbl 1326.15036 Found. Comput. Math. 14, No. 6, 1209-1242 (2014). MSC: 15A69 15A18 14N05 57R20 65F15 65H10 65K05 65D15 14C15 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{G. Ottaviani}, Found. Comput. Math. 14, No. 6, 1209--1242 (2014; Zbl 1326.15036) Full Text: DOI arXiv
Armentano, Diego Complexity of path-following methods for the eigenvalue problem. (English) Zbl 1302.65085 Found. Comput. Math. 14, No. 2, 185-236 (2014). Reviewer: Guillermo Matera (Buenos Aires) MSC: 65F15 65E05 65H20 65Y20 PDFBibTeX XMLCite \textit{D. Armentano}, Found. Comput. Math. 14, No. 2, 185--236 (2014; Zbl 1302.65085) Full Text: DOI arXiv
Rueda, Sonia L.; Sendra, Juana; Sendra, J. Rafael Bounding and estimating the Hausdorff distance between real space algebraic curves. (English) Zbl 1293.65033 Comput. Aided Geom. Des. 31, No. 3-4, 182-198 (2014). MSC: 65D18 PDFBibTeX XMLCite \textit{S. L. Rueda} et al., Comput. Aided Geom. Des. 31, No. 3--4, 182--198 (2014; Zbl 1293.65033) Full Text: DOI Link
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab Intrinsic complexity estimates in polynomial optimization. (English) Zbl 1302.65296 J. Complexity 30, No. 4, 430-443 (2014). MSC: 65Y20 68Q25 68W30 90C60 13P25 14P10 14Q15 PDFBibTeX XMLCite \textit{B. Bank} et al., J. Complexity 30, No. 4, 430--443 (2014; Zbl 1302.65296) Full Text: DOI arXiv
Poteaux, Adrien; Rybowicz, Marc Good reduction of Puiseux series and applications. (English) Zbl 1235.30002 J. Symb. Comput. 47, No. 1, 32-63 (2012). Reviewer: Thomas Kahle (Augsburg) MSC: 65D99 11R09 12E05 68W30 PDFBibTeX XMLCite \textit{A. Poteaux} and \textit{M. Rybowicz}, J. Symb. Comput. 47, No. 1, 32--63 (2012; Zbl 1235.30002) Full Text: DOI
Lysenko, Mikola; Shapiro, Vadim; Nelaturi, Saigopal Non-commutative morphology: Shapes, filters, and convolutions. (English) Zbl 1246.65039 Comput. Aided Geom. Des. 28, No. 8, 497-522 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D18 51B20 PDFBibTeX XMLCite \textit{M. Lysenko} et al., Comput. Aided Geom. Des. 28, No. 8, 497--522 (2011; Zbl 1246.65039) Full Text: DOI
Huang, Yanli; Wang, Dongming Computing intersection and self-intersection loci of parametrized surfaces using regular systems and Gröbner bases. (English) Zbl 1247.65022 Comput. Aided Geom. Des. 28, No. 9, 566-581 (2011). Reviewer: Costică Moroşanu (Iaşi) MSC: 65D18 13P10 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{D. Wang}, Comput. Aided Geom. Des. 28, No. 9, 566--581 (2011; Zbl 1247.65022) Full Text: DOI
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang Multiple zeros of nonlinear systems. (English) Zbl 1242.65102 Math. Comput. 80, No. 276, 2143-2168 (2011). Reviewer: János Karátson (Budapest) MSC: 65H10 PDFBibTeX XMLCite \textit{B. H. Dayton} et al., Math. Comput. 80, No. 276, 2143--2168 (2011; Zbl 1242.65102) Full Text: DOI arXiv
Li, Chi-Kwong; Poon, Yiu-Tung; Schulte-Herbrüggen, Thomas Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact Lie groups. (English) Zbl 1228.65059 Math. Comput. 80, No. 275, 1601-1621 (2011). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 15A60 PDFBibTeX XMLCite \textit{C.-K. Li} et al., Math. Comput. 80, No. 275, 1601--1621 (2011; Zbl 1228.65059) Full Text: DOI arXiv
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
Berriochoa, E.; Cachafeiro, A.; García-Amor, J. Complex measures having quadrature formulae with optimal exactness. (English) Zbl 1240.33011 Acta Math. Hung. 126, No. 1-2, 51-64 (2010). MSC: 33C47 42C05 65D32 PDFBibTeX XMLCite \textit{E. Berriochoa} et al., Acta Math. Hung. 126, No. 1--2, 51--64 (2010; Zbl 1240.33011) Full Text: DOI
Weimann, Martin A lifting and recombination algorithm for rational factorization of sparse polynomials. (English) Zbl 1236.12001 J. Complexity 26, No. 6, 608-628 (2010). MSC: 12E05 12Y05 65Y20 68Q25 PDFBibTeX XMLCite \textit{M. Weimann}, J. Complexity 26, No. 6, 608--628 (2010; Zbl 1236.12001) Full Text: DOI arXiv
Ledoux, Veerle; Malham, Simon J. A.; Thümmler, Vera Grassmannian spectral shooting. (English) Zbl 1196.65132 Math. Comput. 79, No. 271, 1585-1619 (2010). MSC: 65L15 65L10 PDFBibTeX XMLCite \textit{V. Ledoux} et al., Math. Comput. 79, No. 271, 1585--1619 (2010; Zbl 1196.65132) Full Text: DOI arXiv
Garcia-Puente, Luis David; Sottile, Frank Linear precision for parametric patches. (English) Zbl 1193.65018 Adv. Comput. Math. 33, No. 2, 191-214 (2010). MSC: 65D17 PDFBibTeX XMLCite \textit{L. D. Garcia-Puente} and \textit{F. Sottile}, Adv. Comput. Math. 33, No. 2, 191--214 (2010; Zbl 1193.65018) Full Text: DOI arXiv
Craciun, Gheorghe; García-Puente, Luis David; Sottile, Frank Some geometrical aspects of control points for toric patches. (English) Zbl 1274.65033 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces. 7th international conference, MMCS 2008, Tønsberg, Norway, June 26–July 1, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-11619-3/pbk). Lecture Notes in Computer Science 5862, 111-135 (2010). MSC: 65D17 PDFBibTeX XMLCite \textit{G. Craciun} et al., Lect. Notes Comput. Sci. 5862, 111--135 (2010; Zbl 1274.65033) Full Text: DOI arXiv
Nievergelt, Yves Median spheres: Theory, algorithms, applications. (English) Zbl 1202.65018 Numer. Math. 114, No. 4, 573-606 (2010). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 01A10 41A50 51-04 51M16 52C30 62F35 62J02 86A30 90B85 91F10 PDFBibTeX XMLCite \textit{Y. Nievergelt}, Numer. Math. 114, No. 4, 573--606 (2010; Zbl 1202.65018) Full Text: DOI
Wang, Haohao; Jia, Xiaohong; Goldman, Ron Axial moving planes and singularities of rational space curves. (English) Zbl 1205.14077 Comput. Aided Geom. Des. 26, No. 3, 300-316 (2009). MSC: 14Q05 65D18 14H50 14H20 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Aided Geom. Des. 26, No. 3, 300--316 (2009; Zbl 1205.14077) 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
Zeng, Zhonggang Regularization and matrix computation in numerical polynomial algebra. (English) Zbl 1191.65036 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, 125-162 (2009). MSC: 65F15 68W30 13P15 13P10 PDFBibTeX XMLCite \textit{Z. Zeng}, in: Approximate commutative algebra. Berlin: Springer. 125--162 (2009; Zbl 1191.65036) Full Text: DOI
Reder, Markus; Müller, Werner G. More on the \(APLE\) statistic. (English) Zbl 1210.62094 Math. Slovaca 59, No. 5, 565-578 (2009). Reviewer: Andrej Pázman (Bratislava) MSC: 62J05 62H11 62H12 62E15 65C60 PDFBibTeX XMLCite \textit{M. Reder} and \textit{W. G. Müller}, Math. Slovaca 59, No. 5, 565--578 (2009; Zbl 1210.62094) Full Text: DOI
Oară, Cristian; Andrei, Raluca Zero cancellation for general rational matrix functions. (English) Zbl 1177.15008 Linear Algebra Appl. 431, No. 11, 2000-2023 (2009). Reviewer: Václav Burjan (Praha) MSC: 15A16 65F30 PDFBibTeX XMLCite \textit{C. Oară} and \textit{R. Andrei}, Linear Algebra Appl. 431, No. 11, 2000--2023 (2009; Zbl 1177.15008) Full Text: DOI
Gurevich, Shamgar; Hadani, Ronny On the diagonalization of the discrete Fourier transform. (English) Zbl 1165.65089 Appl. Comput. Harmon. Anal. 27, No. 1, 87-99 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 43A65 11F27 PDFBibTeX XMLCite \textit{S. Gurevich} and \textit{R. Hadani}, Appl. Comput. Harmon. Anal. 27, No. 1, 87--99 (2009; Zbl 1165.65089) Full Text: DOI
Busé, L.; Elkadi, M.; Galligo, A. Intersection and self-intersection of surfaces by means of Bezoutian matrices. (English) Zbl 1172.14346 Comput. Aided Geom. Des. 25, No. 2, 53-68 (2008). MSC: 14Q10 65D17 PDFBibTeX XMLCite \textit{L. Busé} et al., Comput. Aided Geom. Des. 25, No. 2, 53--68 (2008; Zbl 1172.14346) Full Text: DOI
Safey El Din, Mohab Practical and theoretical issues for the computation of generalized critical values of a polynomial mapping. (English) Zbl 1166.65317 Kapur, Deepak (ed.), Computer mathematics. 8th Asian symposium, ASCM 2007, Singapore, December 15–17, 2007. Revised and invited papers. Berlin: Springer (ISBN 978-3-540-87826-1/pbk). Lecture Notes in Computer Science 5081. Lecture Notes in Artificial Intelligence, 42-56 (2008). MSC: 65D18 PDFBibTeX XMLCite \textit{M. Safey El Din}, Lect. Notes Comput. Sci. 5081, 42--56 (2008; Zbl 1166.65317) Full Text: DOI
Aguiar, Pedro M. Q.; Stošić, Marko; Xavier, João On singular values of partially prescribed matrices. (English) Zbl 1155.15006 Linear Algebra Appl. 429, No. 8-9, 2136-2145 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 65F20 PDFBibTeX XMLCite \textit{P. M. Q. Aguiar} et al., Linear Algebra Appl. 429, No. 8--9, 2136--2145 (2008; Zbl 1155.15006) Full Text: DOI
Kälberer, Felix; Nieser, Matthias; Polthier, Konrad QuadCover – surface parameterization using branched coverings. (English) Zbl 1259.65025 Comput. Graph. Forum 26, No. 3, 375-384 (2007). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{F. Kälberer} et al., Comput. Graph. Forum 26, No. 3, 375--384 (2007; Zbl 1259.65025) Full Text: DOI
Galligo, A.; Stillman, M. On the geometry of parametrized bicubic surfaces. (English) Zbl 1141.65014 J. Symb. Comput. 42, No. 1-2, 136-158 (2007). Reviewer: Johannes Wallner (Graz) MSC: 65D17 68W30 13P10 PDFBibTeX XMLCite \textit{A. Galligo} and \textit{M. Stillman}, J. Symb. Comput. 42, No. 1--2, 136--158 (2007; Zbl 1141.65014) Full Text: DOI
Peeters, Ralf L. M.; Hanzon, Bernard; Olivi, Martine Canonical lossless state-space systems: staircase forms and the Schur algorithm. (English) Zbl 1124.93014 Linear Algebra Appl. 425, No. 2-3, 404-433 (2007). MSC: 93B10 93C35 93B11 93C55 65F05 PDFBibTeX XMLCite \textit{R. L. M. Peeters} et al., Linear Algebra Appl. 425, No. 2--3, 404--433 (2007; Zbl 1124.93014) Full Text: DOI arXiv
Gudder, Stan Quantum mechanics on finite groups. (English) Zbl 1156.81339 Found. Phys. 36, No. 8, 1160-1192 (2006). MSC: 81P68 81P15 65T50 PDFBibTeX XMLCite \textit{S. Gudder}, Found. Phys. 36, No. 8, 1160--1192 (2006; Zbl 1156.81339) Full Text: DOI
Eigenwillig, Arno; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola Exact, efficient, and complete arrangement computation for cubic curves. (English) Zbl 1124.65021 Comput. Geom. 35, No. 1-2, 36-73 (2006). Reviewer: Johannes Wallner (Graz) MSC: 65D18 68U05 14Q05 PDFBibTeX XMLCite \textit{A. Eigenwillig} et al., Comput. Geom. 35, No. 1--2, 36--73 (2006; Zbl 1124.65021) Full Text: DOI Link
Bates, Dan; Peterson, Chris; Sommese, Andrew J. A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. (English) Zbl 1100.65046 J. Complexity 22, No. 4, 475-489 (2006). MSC: 65H10 65H20 68W30 30C15 PDFBibTeX XMLCite \textit{D. Bates} et al., J. Complexity 22, No. 4, 475--489 (2006; Zbl 1100.65046) Full Text: DOI
Etayo, Fernando; Gonzalez-Vega, Laureano; Del Rio, Natalia A new approach to characterizing the relative position of two ellipses depending on one parameter. (English) Zbl 1097.65033 Comput. Aided Geom. Des. 23, No. 4, 324-350 (2006). MSC: 65D18 14H52 PDFBibTeX XMLCite \textit{F. Etayo} et al., Comput. Aided Geom. Des. 23, No. 4, 324--350 (2006; Zbl 1097.65033) Full Text: DOI
De Leo, M.; Dratman, E.; Matera, G. Numeric vs. symbolic homotopy algorithms in polynomial system solving: a case study. (English) Zbl 1098.65052 J. Complexity 21, No. 4, 502-531 (2005). Reviewer: Walter Zulehner (Linz) MSC: 65H20 68W30 68Q25 65H10 12Y05 26C10 65Y20 PDFBibTeX XMLCite \textit{M. De Leo} et al., J. Complexity 21, No. 4, 502--531 (2005; Zbl 1098.65052) Full Text: DOI
Beltrán, Carlos; Pardo, Luis Miguel Upper bounds on the distribution of the condition number of singular matrices. (English. Abridged French version) Zbl 1073.65040 C. R., Math., Acad. Sci. Paris 340, No. 12, 915-919 (2005). MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, C. R., Math., Acad. Sci. Paris 340, No. 12, 915--919 (2005; Zbl 1073.65040) Full Text: DOI
Carnicer, J. M.; Gasca, M. Generation of lattices of points for bivariate interpolation. (English) Zbl 1068.41002 Numer. Algorithms 39, No. 1-3, 69-79 (2005). MSC: 41A05 65D05 41A63 PDFBibTeX XMLCite \textit{J. M. Carnicer} and \textit{M. Gasca}, Numer. Algorithms 39, No. 1--3, 69--79 (2005; Zbl 1068.41002) Full Text: DOI
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise \(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces. (English) Zbl 1059.65040 Linear Algebra Appl. 385, 187-213 (2004). Reviewer: Daniel Kressner (Zagreb) MSC: 65F30 15A04 15B57 15A63 PDFBibTeX XMLCite \textit{D. S. Mackey} et al., Linear Algebra Appl. 385, 187--213 (2004; Zbl 1059.65040) Full Text: DOI
Pardo, Luis Miguel; San Martín, Jorge Deformation techniques to solve generalised Pham systems. (English) Zbl 1053.65038 Theor. Comput. Sci. 315, No. 2-3, 593-625 (2004). MSC: 65H10 65H20 65Y20 PDFBibTeX XMLCite \textit{L. M. Pardo} and \textit{J. San Martín}, Theor. Comput. Sci. 315, No. 2--3, 593--625 (2004; Zbl 1053.65038) 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
Nievergelt, Yves Fitting conics of specific types to data. (English) Zbl 1053.65010 Linear Algebra Appl. 378, 1-30 (2004). Reviewer: Aurelian Bejancu (Safat) MSC: 65D10 14Q05 51M16 65D17 PDFBibTeX XMLCite \textit{Y. Nievergelt}, Linear Algebra Appl. 378, 1--30 (2004; Zbl 1053.65010) Full Text: DOI
He, Qing; Shi, Zhong-Zhi; Ren, Li-An; Lee, E. S. A novel classification method based on hypersurface. (English) Zbl 1045.62057 Math. Comput. Modelling 38, No. 3-4, 395-407 (2003). MSC: 62H30 65C60 PDFBibTeX XMLCite \textit{Q. He} et al., Math. Comput. Modelling 38, No. 3--4, 395--407 (2003; Zbl 1045.62057) Full Text: DOI
Hong, Hoon; Minimair, Manfred Sparse resultant of composed polynomials. I: Mixed-unmixed case. (English) Zbl 1041.13019 J. Symb. Comput. 33, No. 4, 447-465 (2002). MSC: 13P05 65H10 13F20 68W30 PDFBibTeX XMLCite \textit{H. Hong} and \textit{M. Minimair}, J. Symb. Comput. 33, No. 4, 447--465 (2002; Zbl 1041.13019) Full Text: DOI
Castro, D.; Pardo, Luis M.; Hägele, K.; Morais, J. E. Kronecker’s and Newton’s approaches to solving: a first comparison. (English) Zbl 1013.68296 J. Complexity 17, No. 1, 212-303 (2001). MSC: 68W30 68Q25 68Q17 68W05 65H05 12Y05 PDFBibTeX XMLCite \textit{D. Castro} et al., J. Complexity 17, No. 1, 212--303 (2001; Zbl 1013.68296) Full Text: DOI arXiv
Sommese, Andrew J.; Verschelde, Jan Numerical homotopies to compute generic points on positive dimensional algebraic sets. (English) Zbl 0982.65070 J. Complexity 16, No. 3, 572-602 (2000). Reviewer: Robert F.Lax (Baton Rouge) MSC: 65H10 14Q99 65H20 12Y05 30C15 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{J. Verschelde}, J. Complexity 16, No. 3, 572--602 (2000; Zbl 0982.65070) Full Text: DOI arXiv
Heintz, Joos; Krick, Teresa; Puddu, Susana; Sabia, Juan; Waissbein, Ariel Deformation techniques for efficient polynomial equation solving. (English) Zbl 1041.65044 J. Complexity 16, No. 1, 70-109 (2000). MSC: 65H10 13P99 PDFBibTeX XMLCite \textit{J. Heintz} et al., J. Complexity 16, No. 1, 70--109 (2000; Zbl 1041.65044) Full Text: DOI
Sottile, Frank Real rational curves in Grassmannians. (English) Zbl 0946.14035 J. Am. Math. Soc. 13, No. 2, 333-341 (2000). MSC: 14P99 14N10 14J81 14M15 14N35 65H20 93B55 PDFBibTeX XMLCite \textit{F. Sottile}, J. Am. Math. Soc. 13, No. 2, 333--341 (2000; Zbl 0946.14035) Full Text: DOI arXiv
Rojas, J. Maurice Solving degenerate sparse polynomial systems faster. (English) Zbl 0943.65060 J. Symb. Comput. 28, No. 1-2, 155-186 (1999). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65Y20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{J. M. Rojas}, J. Symb. Comput. 28, No. 1--2, 155--186 (1999; Zbl 0943.65060) Full Text: DOI arXiv
Rojas, J. M. Toric intersection theory for affine root counting. (English) Zbl 0943.14027 J. Pure Appl. Algebra 136, No. 1, 67-100 (1999). Reviewer: Annette A’Campo-Neuen (Konstanz) MSC: 14N10 52A39 14M25 52B20 65H10 PDFBibTeX XMLCite \textit{J. M. Rojas}, J. Pure Appl. Algebra 136, No. 1, 67--100 (1999; Zbl 0943.14027) Full Text: DOI arXiv
Diaconis, Persi; Sturmfels, Bernd Algebraic algorithms for sampling from conditional distributions. (English) Zbl 0952.62088 Ann. Stat. 26, No. 1, 363-397 (1998). Reviewer: Neculai Curteanu (Iaşi) MSC: 62M99 65C60 13P10 62F25 62H17 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{B. Sturmfels}, Ann. Stat. 26, No. 1, 363--397 (1998; Zbl 0952.62088) Full Text: DOI Link
Giusti, M.; Heintz, J.; Morais, J. E.; Morgenstern, J.; Pardo, Luis M. Straight-line programs in geometric elimination theory. (English) Zbl 0944.12004 J. Pure Appl. Algebra 124, No. 1-3, 101-146 (1998). Reviewer: A.Kovačec (Coimbra) MSC: 12Y05 65H10 14Q15 68W30 PDFBibTeX XMLCite \textit{M. Giusti} et al., J. Pure Appl. Algebra 124, No. 1--3, 101--146 (1998; Zbl 0944.12004) Full Text: DOI arXiv
Kobayashi, Hidetsune; Suzuki, Hideo; Sakai, Yoshihiko Numerical calculation of the multiplicity of a solution to algebraic equations. (English) Zbl 0999.65038 Math. Comput. 67, No. 221, 257-270 (1998). MSC: 65H10 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{H. Kobayashi} et al., Math. Comput. 67, No. 221, 257--270 (1998; Zbl 0999.65038) Full Text: DOI
Huber, Birkett; Sturmfels, Bernd A polyhedral method for solving sparse polynomial systems. (English) Zbl 0849.65030 Math. Comput. 64, No. 212, 1541-1555 (1995). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 30C15 12Y05 PDFBibTeX XMLCite \textit{B. Huber} and \textit{B. Sturmfels}, Math. Comput. 64, No. 212, 1541--1555 (1995; Zbl 0849.65030) Full Text: DOI
Rojas, J. Maurice A convex geometric approach to counting the roots of a polynomial system. (English) Zbl 0812.65040 Theor. Comput. Sci. 133, No. 1, 105-140 (1994). Reviewer: D.Braess (Bochum) MSC: 65H10 30C15 12Y05 PDFBibTeX XMLCite \textit{J. M. Rojas}, Theor. Comput. Sci. 133, No. 1, 105--140 (1994; Zbl 0812.65040) Full Text: DOI
Andrea, Stephen A.; Berry, T. G. Continued fractions and periodic Jacobi matrices. (English) Zbl 0760.65036 Linear Algebra Appl. 161, 117-134 (1992). Reviewer: L.Boubelíková (Praha) MSC: 65F15 11J70 PDFBibTeX XMLCite \textit{S. A. Andrea} and \textit{T. G. Berry}, Linear Algebra Appl. 161, 117--134 (1992; Zbl 0760.65036) Full Text: DOI
Garrity, Thomas; Warren, Joe Geometric continuity. (English) Zbl 0715.65009 Comput. Aided Geom. Des. 8, No. 1, 51-65 (1991). Reviewer: H.Guggenheimer MSC: 65D17 14P05 PDFBibTeX XMLCite \textit{T. Garrity} and \textit{J. Warren}, Comput. Aided Geom. Des. 8, No. 1, 51--65 (1991; Zbl 0715.65009) Full Text: DOI
Kwak, Do Y.; Choi, U. Jin; Bae, Sung H. An algebraic geometric method to calculate branches near a bifurcation point. (English) Zbl 0706.65046 Comput. Math. Appl. 19, No. 10, 87-90 (1990). Reviewer: W.Zulehner MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{D. Y. Kwak} et al., Comput. Math. Appl. 19, No. 10, 87--90 (1990; Zbl 0706.65046) Full Text: DOI