Vorozhtsov, Evgenii V.; Kiselev, Sergey P. An efficient method of finding new symplectic schemes for Hamiltonian mechanics problems with the aid of parametric Gröbner bases. (English) Zbl 07808001 J. Comput. Phys. 496, Article ID 112601, 38 p. (2024). MSC: 65Lxx 68Wxx 13Pxx PDFBibTeX XMLCite \textit{E. V. Vorozhtsov} and \textit{S. P. Kiselev}, J. Comput. Phys. 496, Article ID 112601, 38 p. (2024; Zbl 07808001) Full Text: DOI
Arvanitoyeorgos, Andreas; Sakane, Yusuke; Statha, Marina Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds. (English) Zbl 07783612 Result. Math. 79, No. 1, Paper No. 42, 18 p. (2024). MSC: 53C25 53C30 13P10 65H10 68W30 PDFBibTeX XMLCite \textit{A. Arvanitoyeorgos} et al., Result. Math. 79, No. 1, Paper No. 42, 18 p. (2024; Zbl 07783612) Full Text: DOI OA License
Hahn, Marvin Anas; Kohn, Kathlén; Marigliano, Orlando; Pajdla, Tomas Order-One Rolling Shutter Cameras. arXiv:2403.11295 Preprint, arXiv:2403.11295 [cs.CV] (2024). MSC: 14M20 14Q15 14N99 15A69 65H20 68T45 13P10 13P25 BibTeX Cite \textit{M. A. Hahn} et al., ``Order-One Rolling Shutter Cameras'', Preprint, arXiv:2403.11295 [cs.CV] (2024) Full Text: arXiv OA License
Blinkov, Yu. A.; Rebrina, A. Yu. Investigation of difference schemes for two-dimensional Navier-Stokes equations by using computer algebra algorithms. (English. Russian original) Zbl 1523.35239 Program. Comput. Softw. 49, No. 1, 26-31 (2023); translation from Programmirovanie 49, No. 1, 32-37 (2023). MSC: 35Q30 76D05 65M06 65N06 76M20 68W30 13P10 PDFBibTeX XMLCite \textit{Yu. A. Blinkov} and \textit{A. Yu. Rebrina}, Program. Comput. Softw. 49, No. 1, 26--31 (2023; Zbl 1523.35239); translation from Programmirovanie 49, No. 1, 32--37 (2023) Full Text: DOI
Ito, Takuma; Hoshi, Yuta; Shinohara, Naoyuki; Uchiyama, Shigenori Polynomial selection of \(F_4\) for solving the MQ problem. (English) Zbl 07647808 JSIAM Lett. 14, 135-138 (2022). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{T. Ito} et al., JSIAM Lett. 14, 135--138 (2022; Zbl 07647808) Full Text: DOI
Moreno Maza, Marc; Wang, Linxiao Computing the integer hull of convex polyhedral sets. (English) Zbl 1507.14083 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 246-267 (2022). Reviewer: Amir Hashemi (Isfahan) MSC: 14Q65 13P10 65H14 52B55 68W30 PDFBibTeX XMLCite \textit{M. Moreno Maza} and \textit{L. Wang}, Lect. Notes Comput. Sci. 13366, 246--267 (2022; Zbl 1507.14083) Full Text: DOI
Lange-Hegermann, Markus; Robertz, Daniel On boundary conditions parametrized by analytic functions. (English) Zbl 1514.13028 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 225-245 (2022). MSC: 13P10 35M30 60G15 65C99 68W30 PDFBibTeX XMLCite \textit{M. Lange-Hegermann} and \textit{D. Robertz}, Lect. Notes Comput. Sci. 13366, 225--245 (2022; Zbl 1514.13028) Full Text: DOI arXiv
Lee, Tsung-Lin; Tsai, Ya-Lun Nine equilibrium points of four point charges on the plane. (English) Zbl 1491.78002 Appl. Math. Lett. 132, Article ID 108207, 9 p. (2022). MSC: 78A30 78A35 78M99 65P30 13P10 PDFBibTeX XMLCite \textit{T.-L. Lee} and \textit{Y.-L. Tsai}, Appl. Math. Lett. 132, Article ID 108207, 9 p. (2022; Zbl 1491.78002) 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
Tsirivas, N. Solution of polynomial equations. (English) Zbl 1496.65062 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 875-933 (2021). MSC: 65H04 PDFBibTeX XMLCite \textit{N. Tsirivas}, Springer Optim. Appl. 179, 875--933 (2021; Zbl 1496.65062) Full Text: DOI arXiv
Zhang, Xiaojing; Chen, Yufu A strongly-consistent difference scheme for 3D nonlinear Navier-Stokes equations. (English) Zbl 1483.65144 J. Syst. Sci. Complex. 34, No. 6, 2378-2395 (2021). MSC: 65M06 35Q30 13P10 68W30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Y. Chen}, J. Syst. Sci. Complex. 34, No. 6, 2378--2395 (2021; Zbl 1483.65144) Full Text: DOI
Ishii, Hiromi Automatic differentiation with higher infinitesimals, or computational smooth infinitesimal analysis in Weil algebra. (English) Zbl 1495.68250 Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 174-191 (2021). MSC: 68W30 13P10 58C20 65D25 65H14 PDFBibTeX XMLCite \textit{H. Ishii}, Lect. Notes Comput. Sci. 12865, 174--191 (2021; Zbl 1495.68250) Full Text: DOI arXiv
Rabia; Binyamin, Muhammad Ahsan; Jabeen, Nazia; Aslam, Adnan; Anoh Yannick, Kraidi An algorithm to compute the H-bases for ideals of subalgebras. (English) Zbl 1471.13058 Discrete Dyn. Nat. Soc. 2021, Article ID 2400073, 5 p. (2021). MSC: 13P10 65H99 PDFBibTeX XMLCite \textit{Rabia} et al., Discrete Dyn. Nat. Soc. 2021, Article ID 2400073, 5 p. (2021; Zbl 1471.13058) Full Text: DOI
Fefferman, Charles; Luli, Garving K. Solutions to a system of equations for \(C^m\) functions. (English) Zbl 1482.14059 Rev. Mat. Iberoam. 37, No. 3, 911-963 (2021). MSC: 14P10 65H10 65H04 13E15 26B05 13P10 PDFBibTeX XMLCite \textit{C. Fefferman} and \textit{G. K. Luli}, Rev. Mat. Iberoam. 37, No. 3, 911--963 (2021; Zbl 1482.14059) Full Text: DOI arXiv
Mirkarim, Malihe Baigom; Basiri, Abdolali; Rahmany, Sajjad Solving stiff systems by using symbolic-numerical method. (English) Zbl 1474.65205 Comput. Methods Differ. Equ. 8, No. 2, 282-293 (2020). MSC: 65L04 13P10 PDFBibTeX XMLCite \textit{M. B. Mirkarim} et al., Comput. Methods Differ. Equ. 8, No. 2, 282--293 (2020; Zbl 1474.65205) Full Text: DOI
Batkhin, A. B. Bifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry group. (English. Russian original) Zbl 1459.37042 Program. Comput. Softw. 46, No. 2, 84-97 (2020); translation from Programmirovanie 46, No. 2, 14-29 (2020). MSC: 37J20 37J46 37J11 65P30 70H33 68W30 PDFBibTeX XMLCite \textit{A. B. Batkhin}, Program. Comput. Softw. 46, No. 2, 84--97 (2020; Zbl 1459.37042); translation from Programmirovanie 46, No. 2, 14--29 (2020) Full Text: DOI
Statha, Marina Equigeodesics on generalized flag manifolds with \(\text{G}_2\)-type \(\mathfrak{t} \)-roots. (English) Zbl 1456.53041 Osaka J. Math. 57, No. 4, 871-888 (2020). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C30 53C22 13P10 65H10 68W30 PDFBibTeX XMLCite \textit{M. Statha}, Osaka J. Math. 57, No. 4, 871--888 (2020; Zbl 1456.53041) Full Text: arXiv Euclid
Arvanitoyeorgos, Andreas; Sakane, Yusuke; Statha, Marina Invariant Einstein metrics on \(\text{SU}(n)\) and complex Stiefel manifolds. (English) Zbl 1509.53052 Tôhoku Math. J. (2) 72, No. 2, 161-210 (2020). MSC: 53C25 53C30 13P10 65H10 68W30 PDFBibTeX XMLCite \textit{A. Arvanitoyeorgos} et al., Tôhoku Math. J. (2) 72, No. 2, 161--210 (2020; Zbl 1509.53052) Full Text: DOI arXiv Euclid
Neiger, Vincent; Schost, Éric Computing syzygies in finite dimension using fast linear algebra. (English) Zbl 1467.13051 J. Complexity 60, Article ID 101502, 29 p. (2020). MSC: 13P10 13D02 65F99 68Q25 68W30 PDFBibTeX XMLCite \textit{V. Neiger} and \textit{É. Schost}, J. Complexity 60, Article ID 101502, 29 p. (2020; Zbl 1467.13051) Full Text: DOI arXiv
Aoki, Satoshi Introduction to computational algebraic statistics. (English) Zbl 1442.62765 Iohara, Kenji (ed.) et al., Two algebraic byways from differential equations: Gröbner bases and quivers. Cham: Springer. Algorithms Comput. Math. 28, 185-212 (2020). MSC: 62R01 62H17 62-08 65C05 13P10 PDFBibTeX XMLCite \textit{S. Aoki}, Algorithms Comput. Math. 28, 185--212 (2020; Zbl 1442.62765) Full Text: DOI arXiv
Arvanitoyeorgos, Andreas; Sakane, Yusuke; Statha, Marina Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands. (English) Zbl 1455.53071 J. Symb. Comput. 101, 189-201 (2020). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C25 53C30 13P10 65H10 68W30 PDFBibTeX XMLCite \textit{A. Arvanitoyeorgos} et al., J. Symb. Comput. 101, 189--201 (2020; Zbl 1455.53071) 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
Kalka, Arkadius; Kuhnt, Sonja The numerical statistical fan for noisy experimental designs. arXiv:2005.04051 Preprint, arXiv:2005.04051 [stat.ME] (2020). MSC: 13P10 62J02 62K99 65F99 BibTeX Cite \textit{A. Kalka} and \textit{S. Kuhnt}, ``The numerical statistical fan for noisy experimental designs'', Preprint, arXiv:2005.04051 [stat.ME] (2020) Full Text: arXiv OA License
Duff, Timothy; Kohn, Kathlén; Leykin, Anton; Pajdla, Tomas PL\({}_{1}\)P – Point-line Minimal Problems under Partial Visibility in Three Views. arXiv:2003.05015 Preprint, arXiv:2003.05015 [cs.CV] (2020). MSC: 14M20 14Q15 14N99 15A69 65H20 68T45 13P10 13P25 BibTeX Cite \textit{T. Duff} et al., ``PL${}_{1}$P -- Point-line Minimal Problems under Partial Visibility in Three Views'', Preprint, arXiv:2003.05015 [cs.CV] (2020) Full Text: arXiv OA License
Poslavsky, Stanislav Rings: an efficient Java/Scala library for polynomial rings. (English) Zbl 07682918 Comput. Phys. Commun. 235, 400-413 (2019). MSC: 65Y15 13P10 13-04 81-04 PDFBibTeX XMLCite \textit{S. Poslavsky}, Comput. Phys. Commun. 235, 400--413 (2019; Zbl 07682918) Full Text: DOI arXiv
Blinkov, Yu. A.; Gerdt, V. P.; Pankratov, I. A.; Kotkova, E. A. Construction of a new implicit difference scheme for 2D Boussinesq paradigm equation. (English) Zbl 1437.65090 England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 152-163 (2019). MSC: 65M06 68W30 13P10 65M08 65D30 PDFBibTeX XMLCite \textit{Yu. A. Blinkov} et al., Lect. Notes Comput. Sci. 11661, 152--163 (2019; Zbl 1437.65090) Full Text: DOI
Hajnová, Veronika; Přibylová, Lenka Bifurcation manifolds in predator-prey models computed by Gröbner basis method. (English) Zbl 1451.92253 Math. Biosci. 312, 1-7 (2019). MSC: 92D25 13P25 13P10 34C23 37G10 37M20 65P30 PDFBibTeX XMLCite \textit{V. Hajnová} and \textit{L. Přibylová}, Math. Biosci. 312, 1--7 (2019; Zbl 1451.92253) Full Text: DOI
Aoki, Satoshi Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors. (English) Zbl 1422.62268 J. Stat. Plann. Inference 203, 91-105 (2019). MSC: 62K15 65C60 62K10 PDFBibTeX XMLCite \textit{S. Aoki}, J. Stat. Plann. Inference 203, 91--105 (2019; Zbl 1422.62268) Full Text: DOI arXiv
Fassino, Claudia; Riccomagno, Eva; Rogantin, Maria Piera Cubature rules and expected value of some complex functions. (English) Zbl 1418.13016 J. Algebr. Stat. 10, No. 1, Spec. Iss., 115-127 (2019). MSC: 13P10 41A05 65D32 PDFBibTeX XMLCite \textit{C. Fassino} et al., J. Algebr. Stat. 10, No. 1, 115--127 (2019; Zbl 1418.13016) Full Text: DOI arXiv
Javanbakht, Masoumeh; Sauer, Tomas Numerical computation of H-bases. (English) Zbl 1420.13061 BIT 59, No. 2, 417-442 (2019). Reviewer: Jeremiah Johnson (Manchester) MSC: 13P10 65F30 PDFBibTeX XMLCite \textit{M. Javanbakht} and \textit{T. Sauer}, BIT 59, No. 2, 417--442 (2019; Zbl 1420.13061) Full Text: DOI arXiv
Duff, Timothy; Kohn, Kathlén; Leykin, Anton; Pajdla, Tomas PLMP – Point-Line Minimal Problems in Complete Multi-View Visibility. arXiv:1903.10008 Preprint, arXiv:1903.10008 [cs.CV] (2019). MSC: 14M20 14Q15 14N99 15A69 65H20 68T45 13P10 13P25 BibTeX Cite \textit{T. Duff} et al., ``PLMP -- Point-Line Minimal Problems in Complete Multi-View Visibility'', Preprint, arXiv:1903.10008 [cs.CV] (2019) Full Text: arXiv OA License
Fassino, Claudia; Möller, Hans Michael; Riccomagno, Eva BM algorithms for noisy data and implicit regression modeling. (English) Zbl 1411.13040 Hibi, Takayuki (ed.), The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 77, 87-107 (2018). MSC: 13P25 13P10 62J02 65C60 65F20 PDFBibTeX XMLCite \textit{C. Fassino} et al., Adv. Stud. Pure Math. 77, 87--107 (2018; Zbl 1411.13040)
Arvanitoyeorgos, Andreas; Sakane, Yusuke; Statha, Marina New homogeneous Einstein metrics on quaternionic Stiefel manifolds. (English) Zbl 1415.53031 Adv. Geom. 18, No. 4, 509-524 (2018). Reviewer: Adara M. Blaga (Timişoara) MSC: 53C25 53C30 13P10 65H10 68W30 PDFBibTeX XMLCite \textit{A. Arvanitoyeorgos} et al., Adv. Geom. 18, No. 4, 509--524 (2018; Zbl 1415.53031) Full Text: DOI arXiv
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
Lichtblau, Daniel Solving polynomial systems using numeric Gröbner bases. (English) Zbl 1395.13029 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, 335-342 (2018). MSC: 13P10 13P15 68W30 65H10 PDFBibTeX XMLCite \textit{D. Lichtblau}, Lect. Notes Comput. Sci. 10931, 335--342 (2018; Zbl 1395.13029) Full Text: DOI
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
Brysiewicz, Taylor Numerical software to compute Newton polytopes. (English) Zbl 1397.65341 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, 80-88 (2018). MSC: 65Y15 13-04 13P10 14M25 14Q20 PDFBibTeX XMLCite \textit{T. Brysiewicz}, Lect. Notes Comput. Sci. 10931, 80--88 (2018; Zbl 1397.65341) Full Text: DOI
Wang, Haohao; Goldman, Ron Syzygies for translational surfaces. (English) Zbl 1404.14069 J. Symb. Comput. 89, 73-93 (2018). Reviewer: Noémie Combe (Marseille) MSC: 14Q05 13D02 14H50 13P10 68W30 65D17 PDFBibTeX XMLCite \textit{H. Wang} and \textit{R. Goldman}, J. Symb. Comput. 89, 73--93 (2018; Zbl 1404.14069) Full Text: DOI Link
Sendra, J. Rafael; Peternell, Martin; Sendra, Juana Cissoid constructions of augmented rational ruled surfaces. (English) Zbl 1398.65027 Comput. Aided Geom. Des. 60, 1-9 (2018). MSC: 65D18 65D17 13P10 14J26 41A20 PDFBibTeX XMLCite \textit{J. R. Sendra} et al., Comput. Aided Geom. Des. 60, 1--9 (2018; Zbl 1398.65027) Full Text: DOI Link
Jia, Xiaohong; Shi, Xiaoran; Chen, Falai Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces. (English) Zbl 1388.13035 J. Comput. Appl. Math. 329, 2-23 (2018). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 13D02 13P10 14Q05 14Q10 65D17 68U05 68U07 PDFBibTeX XMLCite \textit{X. Jia} et al., J. Comput. Appl. Math. 329, 2--23 (2018; Zbl 1388.13035) Full Text: DOI
Sauer, Tomas Prony’s method in several variables: symbolic solutions by universal interpolation. (English) Zbl 1429.13016 J. Symb. Comput. 84, 95-112 (2018). MSC: 13P10 68W30 42A15 65T40 PDFBibTeX XMLCite \textit{T. Sauer}, J. Symb. Comput. 84, 95--112 (2018; Zbl 1429.13016) Full Text: DOI arXiv
Sauer, Tomas Hankel and Toeplitz operators of finite rank and Prony’s problem in several variables. arXiv:1805.08494 Preprint, arXiv:1805.08494 [math.NA] (2018). MSC: 65D05 47B35 13P10 BibTeX Cite \textit{T. Sauer}, ``Hankel and Toeplitz operators of finite rank and Prony's problem in several variables'', Preprint, arXiv:1805.08494 [math.NA] (2018) Full Text: arXiv OA License
Humenberger, Andreas; Jaroschek, Maximilian; Kovács, Laura Automated generation of non-linear loop invariants utilizing hypergeometric sequences. (English) Zbl 1457.68063 Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 221-228 (2017). MSC: 68N30 13P10 65Q30 68W30 PDFBibTeX XMLCite \textit{A. Humenberger} et al., in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 221--228 (2017; Zbl 1457.68063) Full Text: DOI arXiv
Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. (English) Zbl 1426.76449 Appl. Math. Comput. 314, 408-421 (2017). MSC: 76M20 65M06 12H10 13P10 35Q30 76D05 13P25 PDFBibTeX XMLCite \textit{P. Amodio} et al., Appl. Math. Comput. 314, 408--421 (2017; Zbl 1426.76449) Full Text: DOI
Faugère, Jean-Charles; Mou, Chenqi Sparse FGLM algorithms. (English) Zbl 1404.13031 J. Symb. Comput. 80, Part 3, 538-569 (2017). MSC: 13P10 68W30 65F50 PDFBibTeX XMLCite \textit{J.-C. Faugère} and \textit{C. Mou}, J. Symb. Comput. 80, Part 3, 538--569 (2017; Zbl 1404.13031) 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
Dana-Picard, Thierry; Zehavi, Nurit Automated study of envelopes of one-parameter families of surfaces. (English) Zbl 1386.65088 Kotsireas, Ilias S. (ed.) et al., Applications of computer algebra, Kalamata, Greece, July 20–23, 2015. Cham: Springer (ISBN 978-3-319-56930-7/hbk; 978-3-319-56932-1/ebook). Springer Proceedings in Mathematics & Statistics 198, 29-44 (2017). MSC: 65D18 53A05 13P10 PDFBibTeX XMLCite \textit{T. Dana-Picard} and \textit{N. Zehavi}, Springer Proc. Math. Stat. 198, 29--44 (2017; Zbl 1386.65088) Full Text: DOI
Farahani, Hamed; Nehi, Hassan Mishmast; Paripour, Mahmoud Solving fuzzy complex system of linear equations using eigenvalue method. (English) Zbl 1367.65039 J. Intell. Fuzzy Syst. 31, No. 3, 1689-1699 (2016). MSC: 65F05 15A06 15B15 15A18 PDFBibTeX XMLCite \textit{H. Farahani} et al., J. Intell. Fuzzy Syst. 31, No. 3, 1689--1699 (2016; Zbl 1367.65039) Full Text: DOI
Boyer, Brice; Eder, Christian; Faugère, Jean-Charles; Lachartre, Sylvian; Martani, Fayssal GBLA: Gröbner basis linear algebra package. (English) Zbl 1361.13014 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 135-142 (2016). MSC: 13P10 65Y05 65Y15 PDFBibTeX XMLCite \textit{B. Boyer} et al., in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 135--142 (2016; Zbl 1361.13014) Full Text: DOI arXiv
England, Matthew; Davenport, James H. The complexity of cylindrical algebraic decomposition with respect to polynomial degree. (English) Zbl 1453.13079 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 172-192 (2016). MSC: 13P10 13P15 65D17 68W30 PDFBibTeX XMLCite \textit{M. England} and \textit{J. H. Davenport}, Lect. Notes Comput. Sci. 9890, 172--192 (2016; Zbl 1453.13079) Full Text: DOI arXiv
Trébuchet, Philippe; Mourrain, Bernard; Bucero, Marta Abril Border basis for polynomial system solving and optimization. (English) Zbl 1434.68717 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 212-220 (2016). MSC: 68W30 13P10 65Y15 PDFBibTeX XMLCite \textit{P. Trébuchet} et al., Lect. Notes Comput. Sci. 9725, 212--220 (2016; Zbl 1434.68717) Full Text: DOI HAL
Lichtblau, Daniel First order perturbation and local stability of parametrized systems. (English) Zbl 1342.65130 Math. Comput. Sci. 10, No. 1, 143-163 (2016). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 13P10 65H20 PDFBibTeX XMLCite \textit{D. Lichtblau}, Math. Comput. Sci. 10, No. 1, 143--163 (2016; Zbl 1342.65130) Full Text: DOI
Braun, Gábor; Pokutta, Sebastian A polyhedral characterization of border bases. (English) Zbl 1332.13021 SIAM J. Discrete Math. 30, No. 1, 239-265 (2016). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 65H10 12Y05 90C27 68R05 14Q15 PDFBibTeX XMLCite \textit{G. Braun} and \textit{S. Pokutta}, SIAM J. Discrete Math. 30, No. 1, 239--265 (2016; Zbl 1332.13021) Full Text: DOI arXiv
Papanicolopulos, Stefanos-Aldo Computation of moderate-degree fully-symmetric cubature rules on the triangle using symmetric polynomials and algebraic solving. (English) Zbl 1443.65028 Comput. Math. Appl. 69, No. 7, 650-666 (2015). MSC: 65D30 PDFBibTeX XMLCite \textit{S.-A. Papanicolopulos}, Comput. Math. Appl. 69, No. 7, 650--666 (2015; Zbl 1443.65028) Full Text: DOI
Fassino, Claudia; Riccomagno, Eva The precision space of interpolatory cubature formulae. (English) Zbl 1345.65013 J. Algebr. Stat. 6, No. 1, 46-61 (2015). MSC: 65D32 13P25 13P10 41A05 62K99 PDFBibTeX XMLCite \textit{C. Fassino} and \textit{E. Riccomagno}, J. Algebr. Stat. 6, No. 1, 46--61 (2015; Zbl 1345.65013) Full Text: DOI
Pillwein, Veronika Symbolic computation and finite element methods (invited talk). (English) Zbl 1434.68711 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 376-390 (2015). MSC: 68W30 13P10 65N30 PDFBibTeX XMLCite \textit{V. Pillwein}, Lect. Notes Comput. Sci. 9301, 376--390 (2015; Zbl 1434.68711) Full Text: DOI
Gandhi, Ratnik; Chatterji, Samaresh Applications of algebra for some game theoretic problems. (English) Zbl 1319.91016 Int. J. Found. Comput. Sci. 26, No. 1, 51-78 (2015). MSC: 91A10 65H05 13P10 68Q25 12E30 PDFBibTeX XMLCite \textit{R. Gandhi} and \textit{S. Chatterji}, Int. J. Found. Comput. Sci. 26, No. 1, 51--78 (2015; Zbl 1319.91016) Full Text: DOI
Xia, Peng; Zhang, Shugong; Lei, Na; Kim, Zhangyong The Fitzpatrick-Neville-type algorithm for multivariate vector-valued osculatory rational interpolation. (English) Zbl 1314.65015 J. Syst. Sci. Complex. 28, No. 1, 222-242 (2015). MSC: 65D05 41A05 41A20 13P10 PDFBibTeX XMLCite \textit{P. Xia} et al., J. Syst. Sci. Complex. 28, No. 1, 222--242 (2015; Zbl 1314.65015) Full Text: DOI
Tang, XiaoXian; Chen, ZhengHong; Xia, BiCan Generic regular decompositions for generic zero-dimensional systems. (English) Zbl 1423.68617 Sci. China, Inf. Sci. 57, No. 9, Article ID 092101, 14 p. (2014). MSC: 68W30 13P10 65H10 68T15 PDFBibTeX XMLCite \textit{X. Tang} et al., Sci. China, Inf. Sci. 57, No. 9, Article ID 092101, 14 p. (2014; Zbl 1423.68617) Full Text: DOI arXiv Link
Arvanitoyeorgos, Andreas; Sakane, Yusuke; Statha, Marina New homogeneous Einstein metrics on Stiefel manifolds. (English) Zbl 1327.53055 Differ. Geom. Appl. 35, Suppl., 2-18 (2014). MSC: 53C25 53C30 13P10 65H10 68W30 PDFBibTeX XMLCite \textit{A. Arvanitoyeorgos} et al., Differ. Geom. Appl. 35, 2--18 (2014; Zbl 1327.53055) Full Text: DOI arXiv
Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd Exact solutions in structured low-rank approximation. (English) Zbl 1318.14057 SIAM J. Matrix Anal. Appl. 35, No. 4, 1521-1542 (2014). Reviewer: Francesca Cioffi (Napoli) MSC: 14Q15 65K10 68W30 93B11 PDFBibTeX XMLCite \textit{G. Ottaviani} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1521--1542 (2014; Zbl 1318.14057) Full Text: DOI arXiv
Li, Nan; Zhi, Lihong Verified error bounds for isolated singular solutions of polynomial systems. (English) Zbl 1310.65056 SIAM J. Numer. Anal. 52, No. 4, 1623-1640 (2014). Reviewer: Guillermo Matera (Buenos Aires) MSC: 65H10 65G20 68W30 65H04 13P10 65E05 30C10 PDFBibTeX XMLCite \textit{N. Li} and \textit{L. Zhi}, SIAM J. Numer. Anal. 52, No. 4, 1623--1640 (2014; Zbl 1310.65056) Full Text: DOI arXiv
Botana, Francisco; Recio, Tomás Using Maple’s RegularChains library to automatically classify plane geometric loci. (English) Zbl 1437.13043 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, 500-503 (2014). MSC: 13P10 13P25 14Q65 65D18 PDFBibTeX XMLCite \textit{F. Botana} and \textit{T. Recio}, Lect. Notes Comput. Sci. 8592, 500--503 (2014; Zbl 1437.13043) Full Text: DOI Link
Abánades, Miguel A.; Botana, Francisco; Montes, Antonio; Recio, Tomás Software using the Gröbner cover for geometrical loci computation and classification. (English) Zbl 1437.13001 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, 492-499 (2014). MSC: 13-04 13P25 13P10 65D18 PDFBibTeX XMLCite \textit{M. A. Abánades} et al., Lect. Notes Comput. Sci. 8592, 492--499 (2014; Zbl 1437.13001) Full Text: DOI Link
Moale, Ionela; Pillwein, Veronika A note on uniform approximation of functions having a double pole. (English) Zbl 1291.13043 LMS J. Comput. Math. 17, 233-244 (2014). MSC: 13P10 33E05 41A10 65D20 68W30 PDFBibTeX XMLCite \textit{I. Moale} and \textit{V. Pillwein}, LMS J. Comput. Math. 17, 233--244 (2014; Zbl 1291.13043) Full Text: DOI
Boyd, John P. A comparison of companion matrix methods to find roots of a trigonometric polynomial. (English) Zbl 1349.65156 J. Comput. Phys. 246, 96-112 (2013). MSC: 65H05 65T40 13P10 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Comput. Phys. 246, 96--112 (2013; Zbl 1349.65156) Full Text: DOI
Hashemi, Amir; M.-Alizadeh, Benyamin Computing minimal polynomial of matrices over algebraic extension fields. (English) Zbl 1299.65075 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 2, 217-228 (2013). MSC: 65F30 13P10 15A21 PDFBibTeX XMLCite \textit{A. Hashemi} and \textit{B. M. -Alizadeh}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 2, 217--228 (2013; Zbl 1299.65075)
Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha A Hilbert scheme in computer vision. (English) Zbl 1284.13035 Can. J. Math. 65, No. 5, 961-988 (2013). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 13P10 14M25 14N05 51N15 65D19 PDFBibTeX XMLCite \textit{C. Aholt} et al., Can. J. Math. 65, No. 5, 961--988 (2013; Zbl 1284.13035) Full Text: DOI arXiv
Lichtblau, Daniel Approximate Gröbner bases, overdetermined polynomial systems, and approximate GCDs. (English) Zbl 1285.13036 ISRN Comput. Math. 2013, Article ID 352806, 12 p. (2013). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 65Y04 PDFBibTeX XMLCite \textit{D. Lichtblau}, ISRN Comput. Math. 2013, Article ID 352806, 12 p. (2013; Zbl 1285.13036) Full Text: DOI
Batselier, Kim; Dreesen, Philippe; de Moor, Bart The geometry of multivariate polynomial division and elimination. (English) Zbl 1269.65026 SIAM J. Matrix Anal. Appl. 34, No. 1, 102-125 (2013). MSC: 65D99 13P05 13P10 65F15 65F30 PDFBibTeX XMLCite \textit{K. Batselier} et al., SIAM J. Matrix Anal. Appl. 34, No. 1, 102--125 (2013; Zbl 1269.65026) Full Text: DOI Link
Liang, Ye Selecting lengths of floats for the computation of approximate Gröbner bases. (English) Zbl 1267.13047 J. Symb. Comput. 53, 40-52 (2013). Reviewer: Alyson Reeves (Bowie) MSC: 13P10 65Y99 PDFBibTeX XMLCite \textit{Y. Liang}, J. Symb. Comput. 53, 40--52 (2013; Zbl 1267.13047) Full Text: DOI
Hashemi, Amir; M.-Alizadeh, Benyamin; Darmian, Mahdi Dehghani Minimal polynomial systems for parametric matrices. (English) Zbl 1261.15014 Linear Multilinear Algebra 61, No. 2, 265-272 (2013). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 13P10 65F30 PDFBibTeX XMLCite \textit{A. Hashemi} et al., Linear Multilinear Algebra 61, No. 2, 265--272 (2013; Zbl 1261.15014) Full Text: DOI
Pistone, Giovanni; Rogantin, Maria Piera The algebra of reversible Markov chains. (English) Zbl 1440.62395 Ann. Inst. Stat. Math. 65, No. 2, 269-293 (2013). MSC: 62R01 60J10 13P10 62-08 65C05 PDFBibTeX XMLCite \textit{G. Pistone} and \textit{M. P. Rogantin}, Ann. Inst. Stat. Math. 65, No. 2, 269--293 (2013; Zbl 1440.62395) Full Text: DOI arXiv
Bardet, Magali; Faugère, Jean-Charles; Salvy, Bruno; Spaenlehauer, Pierre-Jean On the complexity of solving quadratic Boolean systems. (English) Zbl 1255.65090 J. Complexity 29, No. 1, 53-75 (2013). MSC: 65H04 65Y20 PDFBibTeX XMLCite \textit{M. Bardet} et al., J. Complexity 29, No. 1, 53--75 (2013; Zbl 1255.65090) Full Text: DOI arXiv
Joswig, Michael; Theobald, Thorsten Polyhedral and algebraic methods in computational geometry. (English) Zbl 1267.52001 Universitext. London: Springer (ISBN 978-1-4471-4816-6/pbk; 978-1-4471-4817-3/ebook). x, 250 p. (2013). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 52-02 52-04 14-04 14-02 52B99 90C05 65D18 68U05 PDFBibTeX XMLCite \textit{M. Joswig} and \textit{T. Theobald}, Polyhedral and algebraic methods in computational geometry. London: Springer (2013; Zbl 1267.52001) Full Text: DOI
Aoki, Satoshi; Takemura, Akimichi Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics. (English) Zbl 1425.62103 J. Stat. Theory Pract. 6, No. 1, 147-161 (2012). MSC: 62K15 65C60 PDFBibTeX XMLCite \textit{S. Aoki} and \textit{A. Takemura}, J. Stat. Theory Pract. 6, No. 1, 147--161 (2012; Zbl 1425.62103) Full Text: DOI arXiv
Lichtblau, Daniel Cylinders through five points: computational algebra and geometry. (English) Zbl 1357.65025 J. Math. Res. 4, No. 6, 65-82 (2012). MSC: 65D18 51M04 13P10 52B55 PDFBibTeX XMLCite \textit{D. Lichtblau}, J. Math. Res. 4, No. 6, 65--82 (2012; Zbl 1357.65025) Full Text: DOI
Batkhin, Alexander Application of the method of asymptotic solution to one multi-parameter problem. (English) Zbl 1375.70014 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 14th international workshop, CASC 2012, Maribor, Slovenia, September 3–6, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-32972-2/pbk). Lecture Notes in Computer Science 7442, 22-33 (2012). MSC: 70E05 70-08 13P10 65H04 PDFBibTeX XMLCite \textit{A. Batkhin}, Lect. Notes Comput. Sci. 7442, 22--33 (2012; Zbl 1375.70014) Full Text: DOI
Rosenkranz, Markus; Regensburger, Georg; Tec, Loredana; Buchberger, Bruno Symbolic analysis for boundary problems: from rewriting to parametrized Gröbner bases. (English) Zbl 1250.65104 Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts & Monographs in Symbolic Computation, 273-331 (2012). MSC: 65L10 34B05 13P10 54J05 45P05 68W30 PDFBibTeX XMLCite \textit{M. Rosenkranz} et al., in: Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. 273--331 (2012; Zbl 1250.65104) Full Text: DOI arXiv
Kaltofen, Erich L. The “Seven Dwarfs” of symbolic computation. (English) Zbl 1257.65013 Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts & Monographs in Symbolic Computation, 95-104 (2012). MSC: 65D99 65Y05 68W30 65F99 PDFBibTeX XMLCite \textit{E. L. Kaltofen}, in: Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. 95--104 (2012; Zbl 1257.65013) Full Text: DOI Link
Levandovskyy, Viktor; Schindelar, Kristina Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases. (English) Zbl 1245.65051 J. Symb. Comput. 47, No. 10, 1214-1232 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 68W30 13P10 PDFBibTeX XMLCite \textit{V. Levandovskyy} and \textit{K. Schindelar}, J. Symb. Comput. 47, No. 10, 1214--1232 (2012; Zbl 1245.65051) Full Text: DOI arXiv
Buchberger, Bruno; Rosenkranz, Markus Transforming problems from analysis to algebra: a case study in linear boundary problems. (English) Zbl 1241.65066 J. Symb. Comput. 47, No. 6, 589-609 (2012). MSC: 65L10 34B05 34L05 65M99 68W30 13P10 PDFBibTeX XMLCite \textit{B. Buchberger} and \textit{M. Rosenkranz}, J. Symb. Comput. 47, No. 6, 589--609 (2012; Zbl 1241.65066) Full Text: DOI
Aoki, Satoshi; Hara, Hisayuki; Takemura, Akimichi Markov bases in algebraic statistics. (English) Zbl 1304.62015 Springer Series in Statistics. New York, NY: Springer (ISBN 978-1-4614-3718-5/hbk; 978-1-4614-3719-2/ebook). xi, 298 p. (2012). MSC: 62-02 13P10 13P25 60J22 62F03 62H17 62M99 65C60 PDFBibTeX XMLCite \textit{S. Aoki} et al., Markov bases in algebraic statistics. New York, NY: Springer (2012; Zbl 1304.62015) Full Text: DOI arXiv
Dahan, Xavier; Kadri, Abdulilah; Schost, Éric Bit-size estimates for triangular sets in positive dimension. (English) Zbl 1246.13039 J. Complexity 28, No. 1, 109-135 (2012). Reviewer: Vasilis Dimitriou (Chania) MSC: 13P10 65H10 PDFBibTeX XMLCite \textit{X. Dahan} et al., J. Complexity 28, No. 1, 109--135 (2012; Zbl 1246.13039) Full Text: DOI arXiv
Langer, Ulrich (ed.); Paule, Peter (ed.) Numerical and symbolic scientific computing. Progress and prospects. (English) Zbl 1234.65014 Texts & Monographs in Symbolic Computation. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). viii, 358 p. (2012). MSC: 65-06 68-06 65-04 00B15 68W30 13P10 14Q05 65D17 PDFBibTeX XMLCite \textit{U. Langer} (ed.) and \textit{P. Paule} (ed.), Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (2012; Zbl 1234.65014) 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
Choulakian, Vartan Picture of all solutions of successive 2-block maxbet problems. (English) Zbl 1231.62108 Psychometrika 76, No. 4, 550-563 (2011). MSC: 62H25 62P15 15B99 65C60 PDFBibTeX XMLCite \textit{V. Choulakian}, Psychometrika 76, No. 4, 550--563 (2011; Zbl 1231.62108) Full Text: DOI
Montes, Antonio Discussion of polynomial systems with parameters. (Spanish) Zbl 1273.13001 Gac. R. Soc. Mat. Esp. 14, No. 3, 527-544 (2011). MSC: 13-02 13P10 13P15 65H10 68W30 PDFBibTeX XMLCite \textit{A. Montes}, Gac. R. Soc. Mat. Esp. 14, No. 3, 527--544 (2011; Zbl 1273.13001)
Romanovski, Valery G.; Prešern, Mateja An approach to solving systems of polynomials via modular arithmetics with applications. (English) Zbl 1225.13029 J. Comput. Appl. Math. 236, No. 2, 196-208 (2011). MSC: 13P25 34C07 34C20 13P15 13P10 65Y04 PDFBibTeX XMLCite \textit{V. G. Romanovski} and \textit{M. Prešern}, J. Comput. Appl. Math. 236, No. 2, 196--208 (2011; Zbl 1225.13029) Full Text: DOI
Arvanitoyeorgos, Andreas; Chrysikos, Ioannis; Sakane, Yusuke Homogeneous Einstein metrics on the generalized flag manifold. (English) Zbl 1231.53037 Differ. Geom. Appl. 29, Suppl. 1, S16-S27 (2011). Reviewer: Beniamino Cappelletti Montano (Cagliari) MSC: 53C25 53C30 12D05 65H10 13P10 68W30 PDFBibTeX XMLCite \textit{A. Arvanitoyeorgos} et al., Differ. Geom. Appl. 29, S16--S27 (2011; Zbl 1231.53037) Full Text: DOI arXiv
Li, Zhe; Zhang, Shugong; Dong, Tian On the existence of certain error formulas for a special class of ideal projectors. (English) Zbl 1229.41002 J. Approx. Theory 163, No. 9, 1080-1090 (2011). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65D05 41A63 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Approx. Theory 163, No. 9, 1080--1090 (2011; Zbl 1229.41002) Full Text: DOI arXiv
Kreuzer, Martin; Poulisse, Henk Subideal border bases. (English) Zbl 1219.13017 Math. Comput. 80, No. 274, 1135-1154 (2011). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13P10 14Q99 68W30 41A10 65D05 PDFBibTeX XMLCite \textit{M. Kreuzer} and \textit{H. Poulisse}, Math. Comput. 80, No. 274, 1135--1154 (2011; Zbl 1219.13017) Full Text: DOI arXiv
Khashan, Hani; Syam, Muhammed I. QR-algebraic method for approximating zeros of system of polynomials. (English) Zbl 1211.65058 Int. J. Comput. Math. 88, No. 1, 110-120 (2011). MSC: 65H10 65H04 12D10 13P10 26C10 65F30 74G15 97N30 PDFBibTeX XMLCite \textit{H. Khashan} and \textit{M. I. Syam}, Int. J. Comput. Math. 88, No. 1, 110--120 (2011; Zbl 1211.65058) Full Text: DOI
Idrees, Nazeran; Pfister, Gerhard; Steidel, Stefan Parallelization of modular algorithms. (English) Zbl 1229.13002 J. Symb. Comput. 46, No. 6, 672-684 (2011). Reviewer: Josef Schicho (Linz) MSC: 13-04 13P10 65Y05 65Y04 68W10 68W30 PDFBibTeX XMLCite \textit{N. Idrees} et al., J. Symb. Comput. 46, No. 6, 672--684 (2011; Zbl 1229.13002) Full Text: DOI arXiv
Gerdt, Vladimir P.; Robertz, Daniel Consistency of finite difference approximations for linear PDE systems and its algorithmic verification. (English) Zbl 1321.65161 Watt, Stephen M. (ed.), Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25–28, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0150-3). 53-59 (2010). MSC: 65N06 13P10 35C05 68W30 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{D. Robertz}, in: Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25--28, 2010. New York, NY: Association for Computing Machinery (ACM). 53--59 (2010; Zbl 1321.65161) Full Text: DOI
Sasaki, Tateaki; Kako, Fujio Computing floating-point Gröbner bases accurately. (English) Zbl 1305.68372 ACM Commun. Comput. Algebra 44, No. 4, 142-143 (2010). MSC: 68W30 13P10 65F05 PDFBibTeX XMLCite \textit{T. Sasaki} and \textit{F. Kako}, ACM Commun. Comput. Algebra 44, No. 3, 142--143 (2010; Zbl 1305.68372) Full Text: DOI
Chen, Shaotian; Xia, Peng; Guo, Yan; Zhang, Shugong Multivariate matrix-valued osculatory rational interpolation. (Chinese. English summary) Zbl 1240.65020 J. Jilin Univ., Sci. 48, No. 3, 353-360 (2010). MSC: 65D05 41A05 41A20 13P10 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Jilin Univ., Sci. 48, No. 3, 353--360 (2010; Zbl 1240.65020)
Tan, Chang; Zhang, Shugong Computation of the rational representation for solutions of high-dimensional systems. (English) Zbl 1240.14013 Commun. Math. Res. 26, No. 2, 119-130 (2010). MSC: 14Q15 13P10 65H10 PDFBibTeX XMLCite \textit{C. Tan} and \textit{S. Zhang}, Commun. Math. Res. 26, No. 2, 119--130 (2010; Zbl 1240.14013)
Dimitrova, Elena S. Estimating the volumes of the cones in a Gröbner fan. (English) Zbl 1205.52008 Math. Comput. Sci. 3, No. 4, 457-463 (2010). MSC: 52B20 65C60 13P10 65C05 PDFBibTeX XMLCite \textit{E. S. Dimitrova}, Math. Comput. Sci. 3, No. 4, 457--463 (2010; Zbl 1205.52008) Full Text: DOI
Zhang, Xiaodan; Wang, Fei; Deng, Qin; Li, Aihua Construction and applications of multivariate separators. (Chinese. English summary) Zbl 1224.65026 Acta Math. Appl. Sin. 33, No. 2, 281-289 (2010). MSC: 65D05 13P10 41A05 41A63 41A10 PDFBibTeX XMLCite \textit{X. Zhang} et al., Acta Math. Appl. Sin. 33, No. 2, 281--289 (2010; Zbl 1224.65026)