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 69 articles , 1 standard article )

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  1. Bradford, Russell; Davenport, James H.; England, Matthew; Errami, Hassan; Gerdt, Vladimir; Grigoriev, Dima; Hoyt, Charles; Košta, Marek; Radulescu, Ovidiu; Sturm, Thomas; Weber, Andreas: Identifying the parametric occurrence of multiple steady states for some biological networks (2020)
  2. England, Matthew; Bradford, Russell; Davenport, James H.: Cylindrical algebraic decomposition with equational constraints (2020)
  3. Guo, Feng; Phạm, Ti’ên-Son: On types of degenerate critical points of real polynomial functions (2020)
  4. Kremer, Gereon; Ábrahám, Erika: Fully incremental cylindrical algebraic decomposition (2020)
  5. Amzallag, Eli; Sun, Mengxiao; Pogudin, Gleb; Vo, Thieu N.: Complexity of triangular representations of algebraic sets (2019)
  6. England, Matthew; Florescu, Dorian: Comparing machine learning models to choose the variable ordering for cylindrical algebraic decomposition (2019)
  7. Harris, Corey; Michałek, Mateusz; Sertöz, Emre Can: Computing images of polynomial maps (2019)
  8. Huang, Zongyan; England, Matthew; Wilson, David J.; Bridge, James; Davenport, James H.; Paulson, Lawrence C.: Using machine learning to improve cylindrical algebraic decomposition (2019)
  9. Schreck, Pascal: On the mechanization of straightedge and compass constructions (2019)
  10. Montes, Antonio: The Gröbner cover (2018)
  11. Cifuentes, Diego; Parrilo, Pablo A.: Chordal networks of polynomial ideals (2017)
  12. Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E.: Jordan canonical form with parameters from Frobenius form with parameters (2017)
  13. Davenport, James H.: What does “without loss of generality” mean, and how do we detect it (2017)
  14. Dong, Rina; Mou, Chenqi: Decomposing polynomial sets simultaneously into Gröbner bases and normal triangular sets (2017)
  15. Han, Jingjun; Dai, Liyun; Hong, Hoon; Xia, Bican: Open weak CAD and its applications (2017)
  16. 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)
  17. Alvandi, Parisa; Kazemi, Mahsa; Maza, Marc Moreno: Computing limits with the RegularChains and PowerSeries libraries: from rational functions to Zariski closure (2016)
  18. Bradford, Russell; Davenport, James H.; England, Matthew; McCallum, Scott; Wilson, David: Truth table invariant cylindrical algebraic decomposition (2016)
  19. Brunat, Josep M.; Montes, Antonio: Computing the canonical representation of constructible sets (2016)
  20. Chen, Changbo; Moreno Maza, Marc: Quantifier elimination by cylindrical algebraic decomposition based on regular chains (2016)

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