RegularChains

The RegularChains library in Maple 10. The RegularChains library provides facilities for symbolic computations with systems of polynomial equations. In particular, it allows to compute modulo a set of algebraic relations. Automatic case discussion (and recombination) handles zero-divisors and parameters. This permits triangular decomposition of polynomial equations


References in zbMATH (referenced in 55 articles , 1 standard article )

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  1. Amzallag, Eli; Sun, Mengxiao; Pogudin, Gleb; Vo, Thieu N.: Complexity of triangular representations of algebraic sets (2019)
  2. Cifuentes, Diego; Parrilo, Pablo A.: Chordal networks of polynomial ideals (2017)
  3. Dong, Rina; Mou, Chenqi: Decomposing polynomial sets simultaneously into Gröbner bases and normal triangular sets (2017)
  4. Han, Jingjun; Dai, Liyun; Hong, Hoon; Xia, Bican: Open weak CAD and its applications (2017)
  5. Liang, Quanyi; She, Zhikun; Wang, Lei; Chen, Michael Z. Q.; Wang, Qing-Guo: Characterizations and criteria for synchronization of heterogeneous networks to linear subspaces (2017)
  6. Alvandi, Parisa; Kazemi, Mahsa; Maza, Marc Moreno: Computing limits with the RegularChains and PowerSeries libraries: from rational functions to Zariski closure (2016)
  7. Brunat, Josep M.; Montes, Antonio: Computing the canonical representation of constructible sets (2016)
  8. Chen, Changbo; Moreno Maza, Marc: Quantifier elimination by cylindrical algebraic decomposition based on regular chains (2016)
  9. Robertz, Daniel: Formal algorithmic elimination for PDEs (2016)
  10. Boulier, Francois; Han, M.; Lemaire, Francois; Romanovski, Valery G.: Qualitative investigation of a gene model using computer algebra algorithms (2015)
  11. Marinković, Vesna; Janičić, Predrag; Schreck, Pascal: Computer theorem proving for verifiable solving of geometric construction problems (2015)
  12. Maza, Marc Moreno: Doing algebraic geometry with the regularchains library (2015) ioport
  13. Afzal, Deeba; Janjua, Faira Kanwal; Pfister, Gerhard; Steidel, Stefan: Solving via modular methods (2014)
  14. Alvandi, Parisa; Chen, Changbo; Marcus, Steffen; Maza, Marc Moreno; Schost, Éric; Vrbik, Paul: Doing algebraic geometry with the regularchains library (2014)
  15. Botana, Francisco; Recio, Tomás: Using Maple’s regularchains library to automatically classify plane geometric loci (2014)
  16. Boulier, François; Chen, Changbo; Lemaire, François; Maza, Marc Moreno: Real root isolation of regular chains (2014)
  17. Bradford, Russell; Chen, Changbo; Davenport, James H.; England, Matthew; Moreno Maza, Marc; Wilson, David: Truth table invariant cylindrical algebraic decomposition by regular chains (2014)
  18. Chen, Changbo; Maza, Marc Moreno: Solving parametric polynomial systems by realcomprehensivetriangularize (2014)
  19. Chen, Changbo; Moreno Maza, Marc: Cylindrical algebraic decomposition in the regularchains library (2014)
  20. Chen, Changbo; Moreno Maza, Marc: Real quantifier elimination in the regularchains library (2014)

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Further publications can be found at: http://www.regularchains.org/publications.html