/polynomial-ring

A C++ library for algebraic algorithms with polynomials over a field.

Primary LanguageC++

A C++ library for working with multivariate polynomials (with a Python binding). It is rather drafty. Includes:

  • Monomial Ordering: Lexicographical, Graded Lexicographica, Graded Reverse Lexicographical.
  • Term-wise polynomial multiplication.
  • Polynomial Long Division w.r.t a set of divisors (quotients and a remainder).
  • Groebner Basis via Buchberger's Algorithm.
  • Minimization and Reduction of a Groebner Basis.
  • Finding a standard monomial basis for a coordinates-algebra (given the Groebner Basis of the Ideal).