Polynomial Rings

• Constructors for polynomial rings
• Univariate Polynomials and Polynomial Rings
  • Univariate Polynomial Rings
  • Univariate Polynomial Base Class
  • Univariate Polynomials over domains and fields
  • Univariate Polynomials over GF(2) via NTL’s GF2X.
  • Dense univariate polynomials over , implemented using FLINT.
  • Dense univariate polynomials over , implemented using NTL.
  • Dense univariate polynomials over , implemented using FLINT.
  • Dense univariate polynomials over , implemented using NTL.
  • Dense univariate polynomials over , implemented using MPFR
  • Polynomial Interfaces to Singular
  • Isolate Real Roots of Real Polynomials
  • Isolate Complex Roots of Polynomials
  • Quotients of Univariate Polynomial Rings
  • Elements of Quotients of Univariate Polynomial Rings
• Multivariate Polynomials and Polynomial Rings
  • Term Orderings
  • Base class for multivariate polynomial rings
  • Base class for elements of multivariate polynomial rings
  • Multivariate Polynomial Rings over Generic Rings
  • Generic Multivariate Polynomials
  • Ideals in multivariate polynomial rings.
  • Multivariate Polynomials via libSINGULAR
  • Direct low-level access to SINGULAR’s Groebner basis engine via libSINGULAR.
  • PolyDict engine for generic multivariate polynomial rings
• Infinite Polynomial Rings
  • Infinite Polynomial Rings
  • Elements of Infinite Polynomial Rings
  • Symmetric Ideals of Infinite Polynomial Rings
  • Symmetric Reduction of Infinite Polynomials
• Laurent Polynomials and Polynomial Rings
  • Ring of Laurent Polynomials
  • Elements of Laurent polynomial rings
• Boolean Polynomials
  • Implementation specific notes
  • Access to the original PolyBoRi interface
• Educational Versions of Groebner Basis and Related Algorithms
  • Educational Versions of Groebner Basis Algorithms.
  • Educational Versions of Groebner Basis Algorithms: Triangular Factorization.
  • Educational version of the -Groebner Basis Algorithm over PIDs.
• Generic Convolution.
• Fast calculation of cyclotomic polynomials