Asadi, Mohammadali; Brandt, Alexander; Moir, Robert H. C.; Moreno Maza, Marc; Xie, Yuzhen Parallelization of triangular decompositions: techniques and implementation. (English) Zbl 1503.13018 J. Symb. Comput. 115, 371-406 (2023). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 68W30 11Y05 PDFBibTeX XMLCite \textit{M. Asadi} et al., J. Symb. Comput. 115, 371--406 (2023; Zbl 1503.13018) Full Text: DOI
Eder, Christian; Faugère, Jean-Charles A survey on signature-based algorithms for computing Gröbner bases. (English) Zbl 1412.68306 J. Symb. Comput. 80, Part 3, 719-784 (2017). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{C. Eder} and \textit{J.-C. Faugère}, J. Symb. Comput. 80, Part 3, 719--784 (2017; Zbl 1412.68306) Full Text: DOI HAL
Yanovich, D. A. Compact representation of polynomials for algorithms for computing Gröbner and involutive bases. (English. Russian original) Zbl 1362.68298 Program. Comput. Softw. 41, No. 2, 126-130 (2015); translation from Programmirovanie 41, No. 2 (2015). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{D. A. Yanovich}, Program. Comput. Softw. 41, No. 2, 126--130 (2015; Zbl 1362.68298); translation from Programmirovanie 41, No. 2 (2015) Full Text: DOI
Yanovich, D. A. Parallel modular computation of Gröbner and involutive bases. (English. Russian original) Zbl 1323.68631 Program. Comput. Softw. 39, No. 2, 110-113 (2013); translation from Programmirovanie 39, No. 2 (2013). MSC: 68W30 13P10 68W10 PDFBibTeX XMLCite \textit{D. A. Yanovich}, Program. Comput. Softw. 39, No. 2, 110--113 (2013; Zbl 1323.68631); translation from Programmirovanie 39, No. 2 (2013) Full Text: DOI
Gerdt, Vladimir P.; Hashemi, Amir On the use of Buchberger criteria in \(\mathrm G^2\mathrm V\) algorithm for calculating Gröbner bases. (English. Russian original) Zbl 1323.68600 Program. Comput. Softw. 39, No. 2, 81-90 (2013); translation from Programmirovanie 39, No. 2 (2013). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{A. Hashemi}, Program. Comput. Softw. 39, No. 2, 81--90 (2013; Zbl 1323.68600); translation from Programmirovanie 39, No. 2 (2013) Full Text: DOI
Eder, Christian An analysis of inhomogeneous signature-based Gröbner basis computations. (English) Zbl 1311.13037 J. Symb. Comput. 59, 21-35 (2013). Reviewer: John Perry (Hattiesburg) MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{C. Eder}, J. Symb. Comput. 59, 21--35 (2013; Zbl 1311.13037) Full Text: DOI arXiv
Gerdt, Vladimir P.; Hashemi, Amir; M.-Alizadeh, Benyamin Involutive bases algorithm incorporating F\(_5\) criterion. (English) Zbl 1435.68391 J. Symb. Comput. 59, 1-20 (2013). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{V. P. Gerdt} et al., J. Symb. Comput. 59, 1--20 (2013; Zbl 1435.68391) Full Text: DOI arXiv
Zinin, M. V. BIBasis, a package for REDUCE and Macaulay2 computer algebra systems to compute Boolean involutive and Gröbner bases. (English. Russian original) Zbl 1251.68309 Program. Comput. Softw. 38, No. 2, 92-101 (2012); translation from Programmirovanie 38, No. 2 (2012). MSC: 68W30 13P10 06E20 68-04 PDFBibTeX XMLCite \textit{M. V. Zinin}, Program. Comput. Softw. 38, No. 2, 92--101 (2012; Zbl 1251.68309); translation from Programmirovanie 38, No. 2 (2012) 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
Jorge, J. Santiago; Gulias, Victor M.; Freire, Jose L. Certifying properties of an efficient functional program for computing Gröbner bases. (English) Zbl 1159.13016 J. Symb. Comput. 44, No. 5, 571-582 (2009). MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{J. S. Jorge} et al., J. Symb. Comput. 44, No. 5, 571--582 (2009; Zbl 1159.13016) Full Text: DOI
Sun, Yang; Tao, Yu-Hui; Bai, Feng-Shan Incomplete Gröbner basis as a preconditioner for polynomial systems. (English) Zbl 1165.65026 J. Comput. Appl. Math. 226, No. 1, 2-9 (2009). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 13P10 26C10 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Comput. Appl. Math. 226, No. 1, 2--9 (2009; Zbl 1165.65026) Full Text: DOI
Yanovich, D. A. Efficiency estimate for distributed computation of Gröbner bases and involutive bases. (English. Russian original) Zbl 1185.68877 Program. Comput. Softw. 34, No. 4, 210-215 (2008); translation from Programmirovanie 34, No. 4, 32-40 (2008). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{D. A. Yanovich}, Program. Comput. Softw. 34, No. 4, 210--215 (2008; Zbl 1185.68877); translation from Programmirovanie 34, No. 4, 32--40 (2008) Full Text: DOI
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp Semidefinite characterization and computation of zero-dimensional real radical ideals. (English) Zbl 1176.14010 Found. Comput. Math. 8, No. 5, 607-647 (2008). Reviewer: Alexander Kovačec (Coimbra) MSC: 14P05 13J30 13P10 90C22 65H10 PDFBibTeX XMLCite \textit{J. B. Lasserre} et al., Found. Comput. Math. 8, No. 5, 607--647 (2008; Zbl 1176.14010) Full Text: DOI arXiv
Mityunin, V. A.; Pankratiev, E. V. Parallel algorithms for Gröbner-basis construction. (English. Russian original) Zbl 1124.13016 J. Math. Sci., New York 142, No. 4, 2248-2266 (2007); translation from Sovrem. Mat. Prilozh. 30, 46-64 (2005). MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{V. A. Mityunin} and \textit{E. V. Pankratiev}, J. Math. Sci., New York 142, No. 4, 2248--2266 (2007; Zbl 1124.13016); translation from Sovrem. Mat. Prilozh. 30, 46--64 (2005) Full Text: DOI
Gerdt, V. P.; Yanovich, D. A. Parallel computation of Janet and Gröbner bases over rational numbers. (English. Russian original) Zbl 1119.13304 Program. Comput. Softw. 31, No. 2, 73-80 (2005); translation from Programmirovanie 2005, No. 2, 32-42 (2005). MSC: 13P10 68W30 68W10 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{D. A. Yanovich}, Program. Comput. Softw. 31, No. 2, 73--80 (2005; Zbl 1119.13304); translation from Programmirovanie 2005, No. 2, 32--42 (2005) Full Text: DOI
Gonzalez-Vega, Laureano; Traverso, Carlo; Zanoni, Alberto Hilbert stratification and parametric Gröbner bases. (English) Zbl 1169.68662 Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing. 8th international workshop, CASC 2005, Kalamata, Greece, September 12–16, 2005. Proceedings. Berlin: Springer (ISBN 3-540-28966-6/pbk). Lecture Notes in Computer Science 3718, 220-235 (2005). MSC: 68W30 13D40 13F20 13P10 PDFBibTeX XMLCite \textit{L. Gonzalez-Vega} et al., Lect. Notes Comput. Sci. 3718, 220--235 (2005; Zbl 1169.68662) Full Text: DOI