Li, Haokun; Xia, Bican; Zhang, Huiying; Zheng, Tao Choosing better variable orderings for cylindrical algebraic decomposition via exploiting chordal structure. (English) Zbl 07621056 J. Symb. Comput. 116, 324-344 (2023). MSC: 68Wxx 13Pxx 14-XX PDF BibTeX XML Cite \textit{H. Li} et al., J. Symb. Comput. 116, 324--344 (2023; Zbl 07621056) Full Text: DOI arXiv OpenURL
Feliu, Elisenda; Kaihnsa, Nidhi; de Wolff, Timo; Yürük, Oğuzhan The kinetic space of multistationarity in dual phosphorylation. (English) Zbl 1496.92028 J. Dyn. Differ. Equations 34, No. 2, 825-852 (2022). Reviewer: Dieter Erle (Dortmund) MSC: 92C45 92C42 92C40 92C37 14P10 37N25 92E20 14M25 34A34 34C05 PDF BibTeX XML Cite \textit{E. Feliu} et al., J. Dyn. Differ. Equations 34, No. 2, 825--852 (2022; Zbl 1496.92028) Full Text: DOI arXiv OpenURL
Šeliga, Adam; Kauers, Manuel; Saminger-Platz, Susanne; Mesiar, Radko; Kolesárová, Anna; Klement, Erich Peter Polynomial bivariate copulas of degree five: characterization and some particular inequalities. (English) Zbl 1497.62123 Depend. Model. 9, 13-42 (2021). MSC: 62H05 26B25 60E05 62E10 62H20 PDF BibTeX XML Cite \textit{A. Šeliga} et al., Depend. Model. 9, 13--42 (2021; Zbl 1497.62123) Full Text: DOI OpenURL
Röst, Gergely; Sadeghimanesh, AmirHosein Exotic bifurcations in three connected populations with Allee effect. (English) Zbl 1472.92185 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150202, 17 p. (2021). MSC: 92D25 34C23 PDF BibTeX XML Cite \textit{G. Röst} and \textit{A. Sadeghimanesh}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150202, 17 p. (2021; Zbl 1472.92185) Full Text: DOI OpenURL
Ábrahám, Erika; Davenport, James H.; England, Matthew; Kremer, Gereon Deciding the consistency of non-linear real arithmetic constraints with a conflict driven search using cylindrical algebraic coverings. (English) Zbl 07316066 J. Log. Algebr. Methods Program. 119, Article ID 100633, 33 p. (2021). MSC: 68T20 68V15 68W30 PDF BibTeX XML Cite \textit{E. Ábrahám} et al., J. Log. Algebr. Methods Program. 119, Article ID 100633, 33 p. (2021; Zbl 07316066) Full Text: DOI arXiv OpenURL
Lichtblau, Daniel Symbolic analysis of multiple steady states in a MAPK chemical reaction network. (English) Zbl 1457.92062 J. Symb. Comput. 105, 118-144 (2021). MSC: 92C40 92C42 92C45 PDF BibTeX XML Cite \textit{D. Lichtblau}, J. Symb. Comput. 105, 118--144 (2021; Zbl 1457.92062) Full Text: DOI OpenURL
Florescu, Dorian; England, Matthew A machine learning based software pipeline to pick the variable ordering for algorithms with polynomial inputs. (English) Zbl 1503.68311 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 302-311 (2020). MSC: 68W30 14Q30 68T05 PDF BibTeX XML Cite \textit{D. Florescu} and \textit{M. England}, Lect. Notes Comput. Sci. 12097, 302--311 (2020; Zbl 1503.68311) Full Text: DOI arXiv OpenURL
Chen, Changbo; Zhu, Zhangpeng; Chi, Haoyu Variable ordering selection for cylindrical algebraic decomposition with artificial neural networks. (English) Zbl 1503.68310 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 281-291 (2020). MSC: 68W30 14Q30 68T05 PDF BibTeX XML Cite \textit{C. Chen} et al., Lect. Notes Comput. Sci. 12097, 281--291 (2020; Zbl 1503.68310) Full Text: DOI OpenURL
Florescu, Dorian; England, Matthew Improved cross-validation for classifiers that make algorithmic choices to minimise runtime without compromising output correctness. (English) Zbl 07441081 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, 341-356 (2020). MSC: 68-XX 65-XX PDF BibTeX XML Cite \textit{D. Florescu} and \textit{M. England}, Lect. Notes Comput. Sci. 11989, 341--356 (2020; Zbl 07441081) Full Text: DOI arXiv OpenURL
Zhu, Zhangpeng; Chen, Changbo Variable ordering selection for cylindrical algebraic decomposition based on machine learning. (Chinese. English summary) Zbl 1474.14080 J. Syst. Sci. Math. Sci. 40, No. 8, 1492-1506 (2020). MSC: 14Q30 68T07 PDF BibTeX XML Cite \textit{Z. Zhu} and \textit{C. Chen}, J. Syst. Sci. Math. Sci. 40, No. 8, 1492--1506 (2020; Zbl 1474.14080) OpenURL
Uray, Marcell János On proving inequalities by cylindrical algebraic decomposition. (English) Zbl 1474.68466 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 231-252 (2020). MSC: 68W30 14Q30 PDF BibTeX XML Cite \textit{M. J. Uray}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 231--252 (2020; Zbl 1474.68466) Full Text: Link OpenURL
England, Matthew Real quantifier elimination by cylindrical algebraic decomposition, and improvements by machine learning. (English) Zbl 07300047 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 13 (2020). MSC: 68W30 PDF BibTeX XML Cite \textit{M. England}, in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 13 (2020; Zbl 07300047) Full Text: DOI OpenURL
England, Matthew; Bradford, Russell; Davenport, James H. Cylindrical algebraic decomposition with equational constraints. (English) Zbl 1432.68599 J. Symb. Comput. 100, 38-71 (2020). MSC: 68W30 68Q25 PDF BibTeX XML Cite \textit{M. England} et al., J. Symb. Comput. 100, 38--71 (2020; Zbl 1432.68599) Full Text: DOI arXiv OpenURL
Kremer, Gereon; Ábrahám, Erika Fully incremental cylindrical algebraic decomposition. (English) Zbl 1432.68601 J. Symb. Comput. 100, 11-37 (2020). MSC: 68W30 68R07 PDF BibTeX XML Cite \textit{G. Kremer} and \textit{E. Ábrahám}, J. Symb. Comput. 100, 11--37 (2020; Zbl 1432.68601) Full Text: DOI OpenURL
England, Matthew; Florescu, Dorian Comparing machine learning models to choose the variable ordering for cylindrical algebraic decomposition. (English) Zbl 1428.68399 Kaliszyk, Cezary (ed.) et al., Intelligent computer mathematics. 12th international conference, CICM 2019, Prague, Czech Republic, July 8–12, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11617, 93-108 (2019). MSC: 68W30 68T05 PDF BibTeX XML Cite \textit{M. England} and \textit{D. Florescu}, Lect. Notes Comput. Sci. 11617, 93--108 (2019; Zbl 1428.68399) Full Text: DOI arXiv OpenURL
Huang, Zongyan; England, Matthew; Wilson, David J.; Bridge, James; Davenport, James H.; Paulson, Lawrence C. Using machine learning to improve cylindrical algebraic decomposition. (English) Zbl 1474.68464 Math. Comput. Sci. 13, No. 4, 461-488 (2019). MSC: 68W30 68T05 PDF BibTeX XML Cite \textit{Z. Huang} et al., Math. Comput. Sci. 13, No. 4, 461--488 (2019; Zbl 1474.68464) Full Text: DOI arXiv OpenURL
Yang, Jing; Hou, Xiaorong; Luo, Min A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations. (English) Zbl 1427.93088 Fract. Calc. Appl. Anal. 22, No. 2, 509-521 (2019). MSC: 93C15 26A33 93B25 68Q17 93C73 93D09 PDF BibTeX XML Cite \textit{J. Yang} et al., Fract. Calc. Appl. Anal. 22, No. 2, 509--521 (2019; Zbl 1427.93088) Full Text: DOI OpenURL
Yang, Jing; Hou, Xiaorong Robust bounds for fractional-order systems with uncertain order and structured perturbations via cylindrical algebraic decomposition method. (English) Zbl 1412.93071 J. Franklin Inst. 356, No. 7, 4097-4105 (2019). MSC: 93D09 93C15 34A08 93B25 PDF BibTeX XML Cite \textit{J. Yang} and \textit{X. Hou}, J. Franklin Inst. 356, No. 7, 4097--4105 (2019; Zbl 1412.93071) Full Text: DOI OpenURL
Pillwein, Veronika On the positivity of the Gillis-Reznick-Zeilberger rational function. (English) Zbl 1408.33041 Adv. Appl. Math. 104, 75-84 (2019). MSC: 33F10 05A20 68W30 PDF BibTeX XML Cite \textit{V. Pillwein}, Adv. Appl. Math. 104, 75--84 (2019; Zbl 1408.33041) Full Text: DOI OpenURL
Li, Wenda; Passmore, Grant Olney; Paulson, Lawrence C. Deciding univariate polynomial problems using untrusted certificates in Isabelle/HOL. (English) Zbl 1468.68298 J. Autom. Reasoning 62, No. 1, 69-91 (2019). MSC: 68V15 12D10 68W30 PDF BibTeX XML Cite \textit{W. Li} et al., J. Autom. Reasoning 62, No. 1, 69--91 (2019; Zbl 1468.68298) Full Text: DOI arXiv OpenURL
McCallum, Scott; Parusiński, Adam; Paunescu, Laurentiu Validity proof of Lazard’s method for CAD construction. (English) Zbl 1419.14084 J. Symb. Comput. 92, 52-69 (2019). Reviewer: Nelly Villamizar (Swansea) MSC: 14P10 68W30 03C10 14Q20 PDF BibTeX XML Cite \textit{S. McCallum} et al., J. Symb. Comput. 92, 52--69 (2019; Zbl 1419.14084) Full Text: DOI arXiv OpenURL
Strzebonski, Adam Comparison of CAD-based methods for computation of rational function limits. (English) Zbl 1467.68233 Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 375-382 (2018). MSC: 68W30 26C15 PDF BibTeX XML Cite \textit{A. Strzebonski}, in: Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16--19, 2018. New York, NY: Association for Computing Machinery (ACM). 375--382 (2018; Zbl 1467.68233) Full Text: DOI OpenURL
Strzeboński, Adam CAD adjacency computation using validated numerics. (English) Zbl 1458.14067 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). 413-420 (2017). MSC: 14Q20 14P10 68W30 PDF BibTeX XML Cite \textit{A. Strzeboński}, 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). 413--420 (2017; Zbl 1458.14067) Full Text: DOI arXiv OpenURL
Brown, Christopher W. Projection and quantifier elimination using non-uniform cylindrical algebraic decomposition. (English) Zbl 1457.68323 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). 53-60 (2017). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{C. W. Brown}, 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). 53--60 (2017; Zbl 1457.68323) Full Text: DOI OpenURL
Kubjas, Kaie; Parrilo, Pablo A.; Sturmfels, Bernd How to flatten a soccer ball. (English) Zbl 1406.14042 Conca, Aldo (ed.) et al., Homological and computational methods in commutative algebra. Dedicated to Winfried Bruns on the occasion of his 70th birthday. Proceedings of the INdAM conference, Cortona, Italy, May 30 – June 3, 2016. Cham: Springer (ISBN 978-3-319-61942-2/hbk; 978-3-319-61943-9/ebook). Springer INdAM Series 20, 141-162 (2017). MSC: 14Q10 14P10 65D18 90C25 90C90 PDF BibTeX XML Cite \textit{K. Kubjas} et al., Springer INdAM Ser. 20, 141--162 (2017; Zbl 1406.14042) Full Text: DOI arXiv OpenURL
Han, Jingjun; Dai, Liyun; Hong, Hoon; Xia, Bican Open weak CAD and its applications. (English) Zbl 1410.68410 J. Symb. Comput. 80, Part 3, 785-816 (2017). MSC: 68W30 14P05 14Q10 PDF BibTeX XML Cite \textit{J. Han} et al., J. Symb. Comput. 80, Part 3, 785--816 (2017; Zbl 1410.68410) Full Text: DOI arXiv OpenURL
Davenport, James H. What does “without loss of generality” mean, and how do we detect it. (English) Zbl 1425.68464 Math. Comput. Sci. 11, No. 3-4, 297-303 (2017). MSC: 68W30 68T15 PDF BibTeX XML Cite \textit{J. H. Davenport}, Math. Comput. Sci. 11, No. 3--4, 297--303 (2017; Zbl 1425.68464) Full Text: DOI OpenURL
Lu, Jinbo; Hou, Xiaorong; Luo, Min Parametric stabilization method for a class of Hopf bifurcation systems. (Chinese. English summary) Zbl 1374.93316 J. Univ. Electron. Sci. Technol. China 45, No. 6, 944-949 (2016). MSC: 93D21 93C10 93C15 93B11 PDF BibTeX XML Cite \textit{J. Lu} et al., J. Univ. Electron. Sci. Technol. China 45, No. 6, 944--949 (2016; Zbl 1374.93316) Full Text: DOI OpenURL
Davenport, James H.; England, Matthew Need polynomial systems be doubly-exponential? (English) Zbl 1434.68702 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, 157-164 (2016). MSC: 68W30 13P10 68Q25 PDF BibTeX XML Cite \textit{J. H. Davenport} and \textit{M. England}, Lect. Notes Comput. Sci. 9725, 157--164 (2016; Zbl 1434.68702) Full Text: DOI arXiv OpenURL
Xia, Bican; Yang, Lu Automated inequality proving and discovering. (English) Zbl 1362.26001 Hackensack, NJ: World Scientific (ISBN 978-981-4759-11-3/hbk; 978-981-4759-13-7/ebook). xii, 332 p. (2016). Reviewer: Guillermo Matera (Buenos Aires) MSC: 26-02 68-02 26D05 03B35 14P10 68T15 68W30 PDF BibTeX XML Cite \textit{B. Xia} and \textit{L. Yang}, Automated inequality proving and discovering. Hackensack, NJ: World Scientific (2016; Zbl 1362.26001) Full Text: DOI OpenURL
Han, Jing Jun Multivariate discriminant and iterated resultant. (English) Zbl 1382.13004 Acta Math. Sin., Engl. Ser. 32, No. 6, 659-667 (2016). MSC: 13P15 68W30 PDF BibTeX XML Cite \textit{J. J. Han}, Acta Math. Sin., Engl. Ser. 32, No. 6, 659--667 (2016; Zbl 1382.13004) Full Text: DOI arXiv OpenURL
Strzeboński, Adam Cylindrical algebraic decomposition using local projections. (English) Zbl 1350.14042 J. Symb. Comput. 76, 36-64 (2016). Reviewer: Noémie Combe (Marseille) MSC: 14P10 68W30 03C10 14Q99 13P99 PDF BibTeX XML Cite \textit{A. Strzeboński}, J. Symb. Comput. 76, 36--64 (2016; Zbl 1350.14042) Full Text: DOI OpenURL
Bradford, Russell; Davenport, James H.; England, Matthew; McCallum, Scott; Wilson, David Truth table invariant cylindrical algebraic decomposition. (English) Zbl 1351.68314 J. Symb. Comput. 76, 1-35 (2016). MSC: 68W30 14P99 14Q99 PDF BibTeX XML Cite \textit{R. Bradford} et al., J. Symb. Comput. 76, 1--35 (2016; Zbl 1351.68314) Full Text: DOI arXiv OpenURL
Chen, Changbo; Moreno Maza, Marc Quantifier elimination by cylindrical algebraic decomposition based on regular chains. (English) Zbl 1398.68695 J. Symb. Comput. 75, 74-93 (2016). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{C. Chen} and \textit{M. Moreno Maza}, J. Symb. Comput. 75, 74--93 (2016; Zbl 1398.68695) Full Text: DOI OpenURL
Xu, Ming; Zhang, Lijun; Jansen, David N.; Zhu, Huibiao; Yang, Zongyuan Multiphase until formulas over Markov reward models: an algebraic approach. (English) Zbl 1332.68143 Theor. Comput. Sci. 611, 116-135 (2016). MSC: 68Q60 68Q87 PDF BibTeX XML Cite \textit{M. Xu} et al., Theor. Comput. Sci. 611, 116--135 (2016; Zbl 1332.68143) Full Text: DOI OpenURL
Han, Jingjun; Jin, Zhi; Xia, Bican Proving inequalities and solving global optimization problems via simplified CAD projection. (English) Zbl 1337.90052 J. Symb. Comput. 72, 206-230 (2016). MSC: 90C26 65D17 68W30 PDF BibTeX XML Cite \textit{J. Han} et al., J. Symb. Comput. 72, 206--230 (2016; Zbl 1337.90052) Full Text: DOI arXiv OpenURL
McCallum, Scott; Hong, Hoon On using Lazard’s projection in CAD construction. (English) Zbl 1325.13026 J. Symb. Comput. 72, 65-81 (2016). Reviewer: Francesca Cioffi (Napoli) MSC: 13P05 68W30 03G15 14Q99 PDF BibTeX XML Cite \textit{S. McCallum} and \textit{H. Hong}, J. Symb. Comput. 72, 65--81 (2016; Zbl 1325.13026) Full Text: DOI arXiv OpenURL
Jaroschek, Maximilian; Dobal, Pablo Federico; Fontaine, Pascal Adapting real quantifier elimination methods for conflict set computation. (English) Zbl 1471.68248 Lutz, Carsten (ed.) et al., Frontiers of combining systems. 10th international symposium, FroCoS 2015, Wrocław, Poland, September 21–24, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9322, 151-166 (2015). MSC: 68T20 03B25 03C10 PDF BibTeX XML Cite \textit{M. Jaroschek} et al., Lect. Notes Comput. Sci. 9322, 151--166 (2015; Zbl 1471.68248) Full Text: DOI arXiv OpenURL
England, Matthew; Bradford, Russell; Davenport, James H. Improving the use of equational constraints in cylindrical algebraic decomposition. (English) Zbl 1346.68283 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). 165-172 (2015). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{M. England} et al., 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). 165--172 (2015; Zbl 1346.68283) Full Text: DOI arXiv OpenURL
Brown, Christopher W. Open non-uniform cylindrical algebraic decompositions. (English) Zbl 1346.68273 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). 85-92 (2015). MSC: 68W30 PDF BibTeX XML Cite \textit{C. W. Brown}, 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). 85--92 (2015; Zbl 1346.68273) Full Text: DOI OpenURL
Gan, Ting; Chen, Mingshuai; Dai, Liyun; Xia, Bican; Zhan, Naijun Decidability of the reachability for a family of linear vector fields. (English) Zbl 1476.68147 Finkbeiner, Bernd (ed.) et al., Automated technology for verification and analysis. 13th international symposium, ATVA 2015, Shanghai, China, October 12–15, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9364, 482-499 (2015). MSC: 68Q60 03B25 68W30 93B03 93C30 PDF BibTeX XML Cite \textit{T. Gan} et al., Lect. Notes Comput. Sci. 9364, 482--499 (2015; Zbl 1476.68147) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{V. Pillwein}, Lect. Notes Comput. Sci. 9301, 376--390 (2015; Zbl 1434.68711) Full Text: DOI OpenURL
Davenport, H. James Solving computational problems in real algebra/geometry. (English) Zbl 1340.14001 Ann. Math. Inform. 44, 35-46 (2015). MSC: 14-03 01A61 01A75 14Pxx 14Qxx PDF BibTeX XML Cite \textit{H. J. Davenport}, Ann. Math. Inform. 44, 35--46 (2015; Zbl 1340.14001) OpenURL
Brown, Christopher W.; Košta, Marek Constructing a single cell in cylindrical algebraic decomposition. (English) Zbl 1314.68414 J. Symb. Comput. 70, 14-48 (2015). MSC: 68W30 PDF BibTeX XML Cite \textit{C. W. Brown} and \textit{M. Košta}, J. Symb. Comput. 70, 14--48 (2015; Zbl 1314.68414) Full Text: DOI OpenURL
Nikolov, Geno; Pillwein, Veronika An extension of Turán’s inequality. (English) Zbl 1306.41004 Math. Inequal. Appl. 18, No. 1, 321-335 (2015). MSC: 41A17 68W30 PDF BibTeX XML Cite \textit{G. Nikolov} and \textit{V. Pillwein}, Math. Inequal. Appl. 18, No. 1, 321--335 (2015; Zbl 1306.41004) Full Text: DOI OpenURL
Xu, Ming; Li, Zhi-Bin; Yang, Lu Quantifier elimination for a class of exponential polynomial formulas. (English) Zbl 1382.03056 J. Symb. Comput. 68, Part 1, 146-168 (2015). MSC: 03C10 14Q15 68W30 PDF BibTeX XML Cite \textit{M. Xu} et al., J. Symb. Comput. 68, Part 1, 146--168 (2015; Zbl 1382.03056) Full Text: DOI OpenURL
Mehlhorn, Kurt; Sagraloff, Michael; Wang, Pengming From approximate factorization to root isolation with application to cylindrical algebraic decomposition. (English) Zbl 1357.68305 J. Symb. Comput. 66, 34-69 (2015). MSC: 68W30 14Q05 30C15 65H04 68W40 PDF BibTeX XML Cite \textit{K. Mehlhorn} et al., J. Symb. Comput. 66, 34--69 (2015; Zbl 1357.68305) Full Text: DOI arXiv OpenURL
Strzeboński, Adam Cylindrical algebraic decomposition using local projections. (English) Zbl 1325.68302 Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 389-396 (2014). MSC: 68W30 03C10 14P10 PDF BibTeX XML Cite \textit{A. Strzeboński}, in: Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23--25, 2014. New York, NY: Association for Computing Machinery (ACM). 389--396 (2014; Zbl 1325.68302) Full Text: DOI arXiv OpenURL
Chen, Changbo; Maza, Marc Moreno Quantifier elimination by cylindrical algebraic decomposition based on regular chains. (English) Zbl 1325.68268 Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 91-98 (2014). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{C. Chen} and \textit{M. M. Maza}, in: Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23--25, 2014. New York, NY: Association for Computing Machinery (ACM). 91--98 (2014; Zbl 1325.68268) Full Text: DOI OpenURL
Gao, Ben Description of the connected components of arrangements. (Chinese. English summary) Zbl 1313.14007 Pure Appl. Math. 30, No. 2, 154-165 (2014). MSC: 14P10 PDF BibTeX XML Cite \textit{B. Gao}, Pure Appl. Math. 30, No. 2, 154--165 (2014; Zbl 1313.14007) Full Text: DOI OpenURL
Wilson, D. J.; Bradford, R. J.; Davenport, J. H.; England, M. Cylindrical algebraic sub-decompositions. (English) Zbl 1309.68232 Math. Comput. Sci. 8, No. 2, 263-288 (2014). MSC: 68W30 14P10 14Q20 68Q25 PDF BibTeX XML Cite \textit{D. J. Wilson} et al., Math. Comput. Sci. 8, No. 2, 263--288 (2014; Zbl 1309.68232) Full Text: DOI arXiv OpenURL
Bradford, Russell; Chen, Changbo; Davenport, James H.; England, Matthew; Moreno Maza, Marc; Wilson, David Truth table invariant cylindrical algebraic decomposition by regular chains. (English) Zbl 1350.68293 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 16th international workshop, CASC 2014, Warsaw, Poland, September 8–12, 2014. Proceedings. Berlin: Springer (ISBN 978-3-319-10514-7/pbk). Lecture Notes in Computer Science 8660, 44-58 (2014). MSC: 68W30 14P99 14Q99 PDF BibTeX XML Cite \textit{R. Bradford} et al., Lect. Notes Comput. Sci. 8660, 44--58 (2014; Zbl 1350.68293) Full Text: DOI arXiv OpenURL
Chen, Changbo; Moreno Maza, Marc Cylindrical algebraic decomposition in the RegularChains library. (English) Zbl 1437.14007 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, 425-433 (2014). MSC: 14-04 14Q65 14Q30 68W30 PDF BibTeX XML Cite \textit{C. Chen} and \textit{M. Moreno Maza}, Lect. Notes Comput. Sci. 8592, 425--433 (2014; Zbl 1437.14007) Full Text: DOI OpenURL
Chen, Changbo; Moreno Maza, Marc Real quantifier elimination in the RegularChains library. (English) Zbl 1437.14006 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, 283-290 (2014). MSC: 14-04 14Q30 68W30 PDF BibTeX XML Cite \textit{C. Chen} and \textit{M. Moreno Maza}, Lect. Notes Comput. Sci. 8592, 283--290 (2014; Zbl 1437.14006) Full Text: DOI OpenURL
Huang, Zongyan; England, Matthew; Wilson, David; Davenport, James H.; Paulson, Lawrence C.; Bridge, James Applying machine learning to the problem of choosing a heuristic to select the variable ordering for cylindrical algebraic decomposition. (English) Zbl 1304.68224 Watt, Stephen M. (ed.) et al., Intelligent computer mathematics. International conference, CICM 2014, Coimbra, Portugal, July 7–11, 2014. Proceedings. Berlin: Springer (ISBN 978-3-319-08433-6/pbk). Lecture Notes in Computer Science 8543. Lecture Notes in Artificial Intelligence, 92-107 (2014). MSC: 68W30 68T05 68T20 PDF BibTeX XML Cite \textit{Z. Huang} et al., Lect. Notes Comput. Sci. 8543, 92--107 (2014; Zbl 1304.68224) Full Text: DOI arXiv OpenURL
England, Matthew; Bradford, Russell; Chen, Changbo; Davenport, James H.; Maza, Marc Moreno; Wilson, David Problem formulation for truth-table invariant cylindrical algebraic decomposition by incremental triangular decomposition. (English) Zbl 1304.68223 Watt, Stephen M. (ed.) et al., Intelligent computer mathematics. International conference, CICM 2014, Coimbra, Portugal, July 7–11, 2014. Proceedings. Berlin: Springer (ISBN 978-3-319-08433-6/pbk). Lecture Notes in Computer Science 8543. Lecture Notes in Artificial Intelligence, 45-60 (2014). MSC: 68W30 14P10 14Q99 68T20 PDF BibTeX XML Cite \textit{M. England} et al., Lect. Notes Comput. Sci. 8543, 45--60 (2014; Zbl 1304.68223) Full Text: DOI arXiv OpenURL
Pillwein, Veronika; Takacs, Stefan A local Fourier convergence analysis of a multigrid method using symbolic computation. (English) Zbl 1294.65069 J. Symb. Comput. 63, 1-20 (2014). MSC: 65K10 49J20 49M27 68W30 PDF BibTeX XML Cite \textit{V. Pillwein} and \textit{S. Takacs}, J. Symb. Comput. 63, 1--20 (2014; Zbl 1294.65069) Full Text: DOI OpenURL
Pillwein, Veronika Termination conditions for positivity proving procedures. (English) Zbl 1360.68951 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 315-321 (2013). MSC: 68W30 11B37 11Y16 PDF BibTeX XML Cite \textit{V. Pillwein}, in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 315--321 (2013; Zbl 1360.68951) Full Text: DOI OpenURL
Mehlhorn, Kurt; Sagraloff, Michael; Wang, Pengming From approximate factorization to root isolation. (English) Zbl 1360.68944 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 283-290 (2013). MSC: 68W30 14Q05 30C15 65H04 68W40 PDF BibTeX XML Cite \textit{K. Mehlhorn} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 283--290 (2013; Zbl 1360.68944) Full Text: DOI OpenURL
Brown, Christopher W. Constructing a single open cell in a cylindrical algebraic decomposition. (English) Zbl 1360.68924 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 133-140 (2013). MSC: 68W30 68T15 PDF BibTeX XML Cite \textit{C. W. Brown}, in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 133--140 (2013; Zbl 1360.68924) Full Text: DOI OpenURL
Bradford, Russell; Davenport, James H.; England, Matthew; McCallum, Scott; Wilson, David Cylindrical algebraic decompositions for Boolean combinations. (English) Zbl 1359.68327 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 125-132 (2013). MSC: 68W30 PDF BibTeX XML Cite \textit{R. Bradford} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 125--132 (2013; Zbl 1359.68327) Full Text: DOI arXiv Link OpenURL
Agarwal, Pankaj K.; Matoušek, Jiří; Sharir, Micha On range searching with semialgebraic sets. II. (English) Zbl 1285.68192 SIAM J. Comput. 42, No. 6, 2039-2062 (2013). MSC: 68U05 14P10 52C45 68P05 PDF BibTeX XML Cite \textit{P. K. Agarwal} et al., SIAM J. Comput. 42, No. 6, 2039--2062 (2013; Zbl 1285.68192) Full Text: DOI arXiv OpenURL
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu; Yokoyama, Kazuhiro An effective implementation of symbolic-numeric cylindrical algebraic decomposition for quantifier elimination. (English) Zbl 1291.68433 Theor. Comput. Sci. 479, 43-69 (2013). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{H. Iwane} et al., Theor. Comput. Sci. 479, 43--69 (2013; Zbl 1291.68433) Full Text: DOI OpenURL
Bradford, Russell; Davenport, James H.; England, Matthew; Wilson, David Optimising problem formulation for cylindrical algebraic decomposition. (English) Zbl 1390.68775 Carette, Jacques (ed.) et al., Intelligent computer mathematics. MKM, Calculemus, DML, and systems and projects 2013, held as part of CICM 2013, Bath, UK, July 8–12, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-39319-8/pbk). Lecture Notes in Computer Science 7961. Lecture Notes in Artificial Intelligence, 19-34 (2013). MSC: 68W30 13P10 PDF BibTeX XML Cite \textit{R. Bradford} et al., Lect. Notes Comput. Sci. 7961, 19--34 (2013; Zbl 1390.68775) Full Text: DOI arXiv OpenURL
Gao, Ben; Chen, Yufu Finding the topology of implicitly defined two algebraic plane curves. (English) Zbl 1314.68352 J. Syst. Sci. Complex. 25, No. 2, 362-374 (2012). MSC: 68U07 65D17 68W30 PDF BibTeX XML Cite \textit{B. Gao} and \textit{Y. Chen}, J. Syst. Sci. Complex. 25, No. 2, 362--374 (2012; Zbl 1314.68352) Full Text: DOI OpenURL
Vasil’ev, O. O. Study of \(D\)-decompositions by the methods of computational real-valued algebraic geometry. (English. Russian original) Zbl 1268.93032 Autom. Remote Control 73, No. 12, 1978-1993 (2012); translation from Avtom. Telemekh. 2012, No. 12, 36-55 (2012). MSC: 93B11 93B27 PDF BibTeX XML Cite \textit{O. O. Vasil'ev}, Autom. Remote Control 73, No. 12, 1978--1993 (2012; Zbl 1268.93032); translation from Avtom. Telemekh. 2012, No. 12, 36--55 (2012) Full Text: DOI arXiv OpenURL
Takacs, Stefan; Pillwein, Veronika Smoothing analysis of an all-at-once multigrid approach for optimal control problems using symbolic computation. (English) Zbl 1250.65085 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, 175-191 (2012). MSC: 65K10 49J20 49M27 68W30 PDF BibTeX XML Cite \textit{S. Takacs} and \textit{V. Pillwein}, in: Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. 175--191 (2012; Zbl 1250.65085) Full Text: DOI OpenURL
Levandovskyy, Viktor; Martin, Bernd A symbolic approach to generation and analysis of finite difference schemes of partial differential equations. (English) Zbl 1250.65109 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, 123-156 (2012). MSC: 65M06 65M12 35L05 65Y15 68W30 PDF BibTeX XML Cite \textit{V. Levandovskyy} and \textit{B. Martin}, in: Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. 123--156 (2012; Zbl 1250.65109) Full Text: DOI arXiv OpenURL
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu An effective implementation of a symbolic-numeric cylindrical algebraic decomposition for optimization problems. (English) Zbl 1346.68289 Moreno Maza, Marc (ed.), Proceedings of the 2011 international workshop on symbolic-numeric computation, SNC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0515-0). 168-177 (2011). MSC: 68W30 65K05 90C26 PDF BibTeX XML Cite \textit{H. Iwane} et al., in: Proceedings of the 2011 international workshop on symbolic-numeric computation, SNC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 168--177 (2011; Zbl 1346.68289) Full Text: DOI OpenURL
Gandy, Silvia; Kanno, Masaaki; Anai, Hirokazu Optimizing a particular real root of a polynomial by a special cylindrical algebraic decomposition. (English) Zbl 1253.26025 Math. Comput. Sci. 5, No. 2, 209-221 (2011). MSC: 26C10 49N05 68W30 PDF BibTeX XML Cite \textit{S. Gandy} et al., Math. Comput. Sci. 5, No. 2, 209--221 (2011; Zbl 1253.26025) Full Text: DOI Link OpenURL
Wester, Michael J.; Yaacob, Yuzita; Steinberg, Stanly Computing integrals over polynomially defined regions and their boundaries in 2 and 3 dimensions. (English) Zbl 1242.65050 Math. Comput. Simul. 82, No. 1, 79-101 (2011). MSC: 65D32 41A55 41A63 26B15 PDF BibTeX XML Cite \textit{M. J. Wester} et al., Math. Comput. Simul. 82, No. 1, 79--101 (2011; Zbl 1242.65050) Full Text: DOI OpenURL
Lai, Yisheng; Wang, Renhong; Wu, Jinming Solving parametric piecewise polynomial systems. (English) Zbl 1251.65075 J. Comput. Appl. Math. 236, No. 5, 924-936 (2011). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65H10 14Q10 65H05 13P15 PDF BibTeX XML Cite \textit{Y. Lai} et al., J. Comput. Appl. Math. 236, No. 5, 924--936 (2011; Zbl 1251.65075) Full Text: DOI OpenURL
Strzeboński, Adam Cylindrical decomposition for systems transcendental in the first variable. (English) Zbl 1236.14053 J. Symb. Comput. 46, No. 11, 1284-1290 (2011). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q99 14P15 68W30 PDF BibTeX XML Cite \textit{A. Strzeboński}, J. Symb. Comput. 46, No. 11, 1284--1290 (2011; Zbl 1236.14053) Full Text: DOI OpenURL
Kauers, Manuel; Pillwein, Veronika When can we detect that a P-finite sequence is positive? (English) Zbl 1321.68535 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). 195-201 (2010). MSC: 68W30 11B37 PDF BibTeX XML Cite \textit{M. Kauers} and \textit{V. Pillwein}, 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). 195--201 (2010; Zbl 1321.68535) Full Text: DOI Link OpenURL
Strzeboński, Adam Computation with semialgebraic sets represented by cylindrical algebraic formulas. (English) Zbl 1321.68543 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). 61-68 (2010). MSC: 68W30 03C10 14P10 PDF BibTeX XML Cite \textit{A. Strzeboński}, 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). 61--68 (2010; Zbl 1321.68543) Full Text: DOI OpenURL
Lazard, Daniel CAD and topology of semi-algebraic sets. (English) Zbl 1205.14073 Math. Comput. Sci. 4, No. 1, 93-112 (2010). MSC: 14P10 PDF BibTeX XML Cite \textit{D. Lazard}, Math. Comput. Sci. 4, No. 1, 93--112 (2010; Zbl 1205.14073) Full Text: DOI OpenURL
Berberich, Eric; Kerber, Michael; Sagraloff, Michael An efficient algorithm for the stratification and triangulation of an algebraic surface. (English) Zbl 1203.65037 Comput. Geom. 43, No. 3, 257-278 (2010). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 65D18 65D17 68W30 14Q10 14P10 PDF BibTeX XML Cite \textit{E. Berberich} et al., Comput. Geom. 43, No. 3, 257--278 (2010; Zbl 1203.65037) Full Text: DOI OpenURL
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu; Yokoyama, Kazuhiro An effective implementation of a symbolic-numeric cylindrical algebraic decomposition for quantifier elimination. (English) Zbl 1356.68282 Kai, Hiroshi (ed.) et al., Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3–5, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-664-9). 55-64 (2009). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{H. Iwane} et al., in: Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3--5, 2009. New York, NY: Association for Computing Machinery (ACM). 55--64 (2009; Zbl 1356.68282) Full Text: DOI OpenURL
Berberich, Eric; Sagraloff, Michael A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces. (English) Zbl 1205.65067 Comput. Aided Geom. Des. 26, No. 6, 627-647 (2009). MSC: 65D17 14Q20 65D07 PDF BibTeX XML Cite \textit{E. Berberich} and \textit{M. Sagraloff}, Comput. Aided Geom. Des. 26, No. 6, 627--647 (2009; Zbl 1205.65067) Full Text: DOI OpenURL
Lazard, Daniel Algebraic points in geometry and application to CAD. (English) Zbl 1186.68506 Suzuki, Masakazu (ed.) et al., The joint conference of ASCM 2009 and MACIS 2009. 9th international conference on Asian symposium on computer mathematics and 3rd international conference on mathematical aspects of computer and information sciences, Fukuoka, Japan, December 14–17, 2009. Selected papers. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 22, 364-369 (2009). MSC: 68U05 68W30 PDF BibTeX XML Cite \textit{D. Lazard}, COE Lect. Note 22, 364--369 (2009; Zbl 1186.68506) OpenURL
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 PDF BibTeX XML Cite \textit{D. Lazard}, J. Symb. Comput. 44, No. 3, 222--231 (2009; Zbl 1158.13314) Full Text: DOI OpenURL
Gerhold, Stefan; Kauers, Manuel A computer proof of Turán’s inequality. (English) Zbl 1132.26336 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 2, Paper No. 42, 4 p. (2006). MSC: 26D07 33C45 33F10 PDF BibTeX XML Cite \textit{S. Gerhold} and \textit{M. Kauers}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 2, Paper No. 42, 4 p. (2006; Zbl 1132.26336) Full Text: arXiv EuDML EMIS OpenURL
Strzeboński, Adam W. Cylindrical algebraic decomposition using validated numerics. (English) Zbl 1124.68123 J. Symb. Comput. 41, No. 9, 1021-1038 (2006). MSC: 68W30 14P99 PDF BibTeX XML Cite \textit{A. W. Strzeboński}, J. Symb. Comput. 41, No. 9, 1021--1038 (2006; Zbl 1124.68123) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Krandick} and \textit{K. Mehlhorn}, J. Symb. Comput. 41, No. 1, 49--66 (2006; Zbl 1158.12001) Full Text: DOI OpenURL
Gerhold, Stefan; Kauers, Manuel A procedure for proving special function inequalities involving a discrete parameter. (English) Zbl 1360.68933 Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 156-162 (2005). MSC: 68W30 26D15 33C45 33F10 68T15 PDF BibTeX XML Cite \textit{S. Gerhold} and \textit{M. Kauers}, in: Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC'05, Beijing, China, July 24--27, 2005. New York, NY: ACM Press. 156--162 (2005; Zbl 1360.68933) Full Text: DOI Link OpenURL
Hora, Jaroslav Quantifier elimination in the elementary theory of real closed fields: remarkable history, actual present. (Czech) Zbl 1274.03002 Bečvář, Jindřich (ed.) et al., Matematika v proměnách věků. III. Prague: Výzkumné Centrum pro Dějiny Vědy (ISBN 80-7285-040-7). Dějiny Matematiky/History of Mathematics 24, 56-68 (2004). Reviewer: Martina Bečvářová (Praha) MSC: 03-03 01A60 01A70 03C10 68W30 PDF BibTeX XML Cite \textit{J. Hora}, in: Matematika v proměnách věků. III. Prague: Výzkumné Centrum pro Dějiny Vědy. 56--68 (2004; Zbl 1274.03002) Full Text: Link OpenURL
Corvez, Solen; Rouillier, Fabrice Using computer algebra tools to classify serial manipulators. (English) Zbl 1202.68489 Winkler, Franz (ed.), Automated deduction in geometry. 4th international workshop, ADG 2002, Hagenberg Castle, Austria, September 4–6, 2002. Revised papers. Berlin: Springer (ISBN 3-540-20927-1/pbk). Lecture Notes in Computer Science 2930. Lecture Notes in Artificial Intelligence, 31-43 (2004). MSC: 68W30 70B15 PDF BibTeX XML Cite \textit{S. Corvez} and \textit{F. Rouillier}, Lect. Notes Comput. Sci. 2930, 31--43 (2004; Zbl 1202.68489) Full Text: DOI OpenURL
Brown, Christopher W. QEPCAD B: A program for computing with semi-algebraic sets using CADs. (English) Zbl 1083.68148 SIGSAM Bull. 37, No. 4, 97-108 (2003). Reviewer: Francis John Wright (London) MSC: 68W30 14P10 03C10 PDF BibTeX XML Cite \textit{C. W. Brown}, SIGSAM Bull. 37, No. 4, 97--108 (2003; Zbl 1083.68148) Full Text: DOI OpenURL
Davenport, James H. The geometry of \(\mathbb C^n\) is important or the algebra of elementary functions. (English) Zbl 1027.68153 Joswig, Michael (ed.) et al., Algebra, geometry, and software systems. Berlin: Springer. 207-224 (2003). Reviewer: Corina Mohorianu (Iaşi) MSC: 68W30 PDF BibTeX XML Cite \textit{J. H. Davenport}, in: Algebra, geometry, and software systems. Berlin: Springer. 207--224 (2003; Zbl 1027.68153) OpenURL
Yang, Lu; Hou, Xiaorong; Xia, Bican A complete algorithm for automated discovering of a class of inequality-type theorems. (English) Zbl 1125.68406 Sci. China, Ser. F. 44, No. 1, 33-49 (2001). MSC: 68T15 03B35 03C10 PDF BibTeX XML Cite \textit{L. Yang} et al., Sci. China, Ser. F 44, No. 1, 33--49 (2001; Zbl 1125.68406) Full Text: DOI OpenURL
Di Gesù, Vito; Valenti, Cesare Two-view “cylindrical decomposition” of binary images. (English) Zbl 0990.65149 Linear Algebra Appl. 339, No. 1-3, 205-219 (2001). MSC: 65R10 44A12 PDF BibTeX XML Cite \textit{V. Di Gesù} and \textit{C. Valenti}, Linear Algebra Appl. 339, No. 1--3, 205--219 (2001; Zbl 0990.65149) Full Text: DOI OpenURL
Brown, Christopher W. Improved projection for cylindrical algebraic decomposition. (English) Zbl 0981.68186 J. Symb. Comput. 32, No. 5, 447-465 (2001). MSC: 68W30 03C10 PDF BibTeX XML Cite \textit{C. W. Brown}, J. Symb. Comput. 32, No. 5, 447--465 (2001; Zbl 0981.68186) Full Text: DOI Link OpenURL
Brown, Christopher W. Simple CAD construction and its applications. (English) Zbl 0976.65023 J. Symb. Comput. 31, No. 5, 521-547 (2001). Reviewer: Jacek Gilewicz (Marseille) MSC: 65D18 68W30 PDF BibTeX XML Cite \textit{C. W. Brown}, J. Symb. Comput. 31, No. 5, 521--547 (2001; Zbl 0976.65023) Full Text: DOI Link OpenURL
Gonzalez-Campos, Neila; Gonzalez-Vega, Laureano Computing the cylindrical algebraic decomposition adapted to a set of equalities. (English) Zbl 0989.68167 Ganzha, Viktor G. (ed.) et al., Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5-9, 2000. Berlin: Springer. 203-217 (2000). MSC: 68W30 13P05 PDF BibTeX XML Cite \textit{N. Gonzalez-Campos} and \textit{L. Gonzalez-Vega}, in: Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5--9, 2000. Berlin: Springer. 203--217 (2000; Zbl 0989.68167) OpenURL
Pau, Petru; Schicho, Josef Quantifier elimination for trigonometric polynomials by cylindrical trigonometric decomposition. (English) Zbl 1005.68188 J. Symb. Comput. 29, No. 6, 971-983 (2000). Reviewer: Juan Sabia (Buenos Aires) MSC: 68W30 12Y05 PDF BibTeX XML Cite \textit{P. Pau} and \textit{J. Schicho}, J. Symb. Comput. 29, No. 6, 971--983 (2000; Zbl 1005.68188) Full Text: DOI Link OpenURL
Strzebonski, Adam A real polynomial decision algorithm using arbitrary-precision floating point arithmetic. (English) Zbl 0947.65059 Reliab. Comput. 5, No. 3, 337-346 (1999). MSC: 65H10 65K05 90C30 12Y05 26C10 30C15 PDF BibTeX XML Cite \textit{A. Strzebonski}, Reliab. Comput. 5, No. 3, 337--346 (1999; Zbl 0947.65059) Full Text: DOI OpenURL
Dolzmann, Andreas; Sturm, Thomas; Weispfenning, Volker Real quantifier elimination in practice. (English) Zbl 0934.68130 Matzat, B. Heinrich (ed.) et al., Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer. 221-247 (1999). Reviewer: R.Dimitrić (Berkeley) MSC: 68W30 13P10 13-04 PDF BibTeX XML Cite \textit{A. Dolzmann} et al., in: Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer. 221--247 (1999; Zbl 0934.68130) OpenURL
Xia, Bican Automated geometric inequalities discovering and proving. (Chinese. English summary) Zbl 0922.03018 J. Sichuan Univ., Nat. Sci. Ed. 35, No. 5, 669-672 (1998). MSC: 03B35 51M16 68T15 PDF BibTeX XML Cite \textit{B. Xia}, J. Sichuan Univ., Nat. Sci. Ed. 35, No. 5, 669--672 (1998; Zbl 0922.03018) OpenURL
Brown, Christopher W. Simplification of truth-invariant cylindrical algebraic decompositions. (English) Zbl 0918.68058 Gloor, Oliver (ed.), Proceedings of the 1998 international symposium on symbolic and algebraic computation, ISSAC ’98, Rostock, Germany, August 13–15, 1998. New York, NY: ACM Press. 295-301 (1998). MSC: 68W30 PDF BibTeX XML Cite \textit{C. W. Brown}, in: Proceedings of the 1998 international symposium on symbolic and algebraic computation, ISSAC '98, Rostock, Germany, August 13--15, 1998. New York, NY: ACM Press. 295--301 (1998; Zbl 0918.68058) OpenURL
Huijberts, H. J. C. Characterization of static feedback realizable transfer functions for nonlinear control systems. (English) Zbl 0911.93033 Int. J. Robust Nonlinear Control 8, No. 11, 979-994 (1998). Reviewer: M.I.Krastanov (Sofia) MSC: 93B52 93C10 93B18 93B27 93B55 PDF BibTeX XML Cite \textit{H. J. C. Huijberts}, Int. J. Robust Nonlinear Control 8, No. 11, 979--994 (1998; Zbl 0911.93033) Full Text: DOI OpenURL