Epsilon is a library of functions implemented in Maple and Java for polynomial elimination and decomposition with (geometric) applications. It has 8 modules and contains more than 70 functions, which allow one to triangularize systems of multivariate (differential) polynomials, decompose polynomial systems into triangular systems of various kinds (regular, normal, simple, irreducible, or with projection property), decompose algebraic varieties into irreducible or unmixed subvarieties, decompose polynomial ideals into primary components, factorize polynomials over algebraic extension fields, solve systems of polynomial equations and inequations, and handle and prove geometric theorems automatically.

References in zbMATH (referenced in 41 articles , 1 standard article )

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  1. Wang, Dongming; Dong, Rina; Mou, Chenqi: Decomposition of polynomial sets into characteristic pairs (2020)
  2. Wang, Dongming; Huang, Bo; Chen, Xiaoyu: On (n)-sectors of the angles of an arbitrary triangle (2020)
  3. Amzallag, Eli; Sun, Mengxiao; Pogudin, Gleb; Vo, Thieu N.: Complexity of triangular representations of algebraic sets (2019)
  4. Cifuentes, Diego; Parrilo, Pablo A.: Chordal networks of polynomial ideals (2017)
  5. Boroujeni, Marziyeh; Basiri, Abdolali; Rahmany, Sajjad; Valibouze, Annick: Finding solutions of fuzzy polynomial equations systems by an algebraic method (2016)
  6. Du, Daniel K.; Hou, Qing-Hu; Wang, Rong-Hua: Infinite orders and non-(D)-finite property of 3-dimensional lattice walks (2016)
  7. Sang, Bo; Niu, Chuanze: Solution of center-focus problem for a class of cubic systems (2016)
  8. Xiazhi, Hao; Yinping, Liu; Xiaoyan, Tang; Zhibin, Li: A \textitMaplepackage for finding interaction solutions of nonlinear evolution equations (2016)
  9. Botana, Francisco; Hohenwarter, Markus; Janičić, Predrag; Kovács, Zoltán; Petrović, Ivan; Recio, Tomás; Weitzhofer, Simon: Automated theorem proving in GeoGebra: current achievements (2015)
  10. Chen, Zhenghong; Tang, Xiaoxian; Xia, Bican: Generic regular decompositions for parametric polynomial systems (2015)
  11. Gan, Zhiwang; Zhou, Meng: Symbolic computation of the orthogonal projection of rational curves onto rational parameterized surfaces (2015)
  12. Pech, Pavel: Extension of Simson-Wallace theorem on skew quadrilaterals and further properties (2015)
  13. Alvandi, Parisa; Chen, Changbo; Marcus, Steffen; Maza, Marc Moreno; Schost, Éric; Vrbik, Paul: Doing algebraic geometry with the RegularChains library (2014)
  14. Cheng, Jin-San; Gao, Xiao-Shan: Multiplicity-preserving triangular set decomposition of two polynomials (2014)
  15. Montes, Antonio; Recio, Tomás: Generalizing the Steiner-Lehmus theorem using the Gröbner cover (2014)
  16. Pech, Pavel: On a 3D extension of the Simson-Wallace theorem (2014)
  17. Tang, XiaoXian; Chen, ZhengHong; Xia, BiCan: Generic regular decompositions for generic zero-dimensional systems (2014)
  18. Liu, Y. P.; Liao, S. J.; Li, Z. B.: Symbolic computation of strongly nonlinear periodic oscillations (2013)
  19. Ayad, Ali; Fares, Ali; Ayyad, Youssef: An algorithm for solving zero-dimensional parametric systems of polynomial homogeneous equations (2012)
  20. Niu, Wei; Wang, Dongming: Algebraic analysis of stability and bifurcation of a self-assembling micelle system (2012)

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