Sato, Yosuke; Sekigawa, Hiroshi; Fukasaku, Ryoya; Nabeshima, Katsusuke On parametric border bases. (English) Zbl 07441056 Slamanig, Daniel (ed.) et al., Mathematical aspects of computer and information sciences. 8th international conference, MACIS 2019, Gebze, Turkey, November 13–15, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11989, 10-15 (2020). MSC: 68-XX 65-XX PDF BibTeX XML Cite \textit{Y. Sato} et al., Lect. Notes Comput. Sci. 11989, 10--15 (2020; Zbl 07441056) Full Text: DOI
M.-Alizadeh, Benyamin; Basiri, Abdolali; Rahmany, Sajjad Applying Gröbner basis method to multiparametric polynomial nonlinear programming. (English) Zbl 1423.13149 Bull. Iran. Math. Soc. 45, No. 6, 1585-1603 (2019). MSC: 13P25 13P10 90C30 PDF BibTeX XML Cite \textit{B. M. -Alizadeh} et al., Bull. Iran. Math. Soc. 45, No. 6, 1585--1603 (2019; Zbl 1423.13149) Full Text: DOI
Lu, Dong; Sun, Yao; Wang, Dingkang A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases. (English) Zbl 1417.68295 J. Syst. Sci. Complex. 32, No. 1, 234-255 (2019). MSC: 68W30 13P10 68-02 PDF BibTeX XML Cite \textit{D. Lu} et al., J. Syst. Sci. Complex. 32, No. 1, 234--255 (2019; Zbl 1417.68295) Full Text: DOI
Montes, Antonio The Gröbner cover. (English) Zbl 1412.13001 Algorithms and Computation in Mathematics 27. Cham: Springer (ISBN 978-3-030-03903-5/hbk; 978-3-030-03904-2/ebook). xiv, 276 p. (2018). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13-02 13P10 PDF BibTeX XML Cite \textit{A. Montes}, The Gröbner cover. Cham: Springer (2018; Zbl 1412.13001) Full Text: DOI
Kapur, Deepak Comprehensive Gröbner basis theory for a parametric polynomial ideal and the associated completion algorithm. (English) Zbl 1376.13012 J. Syst. Sci. Complex. 30, No. 1, 196-233 (2017). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{D. Kapur}, J. Syst. Sci. Complex. 30, No. 1, 196--233 (2017; Zbl 1376.13012) Full Text: DOI
Kapur, Deepak; Yang, Yiming An algorithm to check whether a basis of a parametric polynomial system is a comprehensive Gröbner basis and the associated completion algorithm. (English) Zbl 1346.13059 Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6–9, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3435-8). 243-250 (2015). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{D. Kapur} and \textit{Y. Yang}, in: Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6--9, 2015. New York, NY: Association for Computing Machinery (ACM). 243--250 (2015; Zbl 1346.13059) Full Text: DOI
Kapur, Deepak; Sun, Yao; Wang, Dingkang An efficient method for computing comprehensive Gröbner bases. (English) Zbl 1283.13024 J. Symb. Comput. 52, 124-142 (2013). Reviewer: Mijail Borges Quintana (Santiago de Cuba) MSC: 13P10 PDF BibTeX XML Cite \textit{D. Kapur} et al., J. Symb. Comput. 52, 124--142 (2013; Zbl 1283.13024) Full Text: DOI
Kapur, Deepak; Sun, Yao; Wang, Dingkang An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system. (English) Zbl 1255.13018 J. Symb. Comput. 49, 27-44 (2013). MSC: 13P10 13-04 PDF BibTeX XML Cite \textit{D. Kapur} et al., J. Symb. Comput. 49, 27--44 (2013; Zbl 1255.13018) Full Text: DOI
Kapur, Deepak; Sun, Yao; Wang, Dingkang Computing comprehensive Gröbner systems and comprehensive Gröbner bases simultaneously. (English) Zbl 1323.13004 Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 193-200 (2011). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{D. Kapur} et al., in: Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 193--200 (2011; Zbl 1323.13004) Full Text: DOI
Kapur, Deepak; Sun, Yao; Wang, Dingkang A new algorithm for computing comprehensive Gröbner systems. (English) Zbl 1321.68533 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). 29-36 (2010). MSC: 68W30 13P10 68T45 PDF BibTeX XML Cite \textit{D. Kapur} et al., 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). 29--36 (2010; Zbl 1321.68533) Full Text: DOI
Suzuki, Akira; Sato, Yosuke A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases. (English) Zbl 1356.13040 Dumas, Jean-Guillaume (ed.), Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9–12, 2006. New York, NY: ACM Press (ISBN 1-59593-276-3). 326-331 (2006). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{A. Suzuki} and \textit{Y. Sato}, in: Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9--12, 2006. New York, NY: ACM Press. 326--331 (2006; Zbl 1356.13040) Full Text: DOI
Suzuki, Akira; Sato, Yosuke An alternative approach to comprehensive Gröbner bases. (English) Zbl 1053.13013 J. Symb. Comput. 36, No. 3-4, 649-667 (2003). MSC: 13P10 13B25 68W30 PDF BibTeX XML Cite \textit{A. Suzuki} and \textit{Y. Sato}, J. Symb. Comput. 36, No. 3--4, 649--667 (2003; Zbl 1053.13013) Full Text: DOI
Sato, Yosuke; Suzuki, Akira Discrete comprehensive Gröbner bases. (English) Zbl 1056.13016 ISSAC ’01. International conference on symbolic and algebraic computation. Proceedings of the 2001 international symposium, London, Ontario, Canada, 2001. New York, NY: ACM Press (ISBN 1-58113-417-7). 292-296 (2001). MSC: 13P10 16E50 PDF BibTeX XML Cite \textit{Y. Sato} and \textit{A. Suzuki}, in: Proceedings of the 2001 international symposium on symbolic and algebraic computation, ISSAC '01, London, Ontario, Canada, 2001. New York, NY: ACM Press. 292--296 (2001; Zbl 1056.13016)
Weispfenning, Volker Comprehensive Gröbner bases. (English) Zbl 0784.13013 J. Symb. Comput. 14, No. 1, 1-29 (1992). Reviewer: A.Dickenstein (Buenos Aires) MSC: 13P10 13F20 68W30 14Q20 PDF BibTeX XML Cite \textit{V. Weispfenning}, J. Symb. Comput. 14, No. 1, 1--29 (1992; Zbl 0784.13013) Full Text: DOI