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resultant

Utilities for polynomials with rational coefficients.

This package deals with polynomials, univariate and multivariate, with rational coefficients. Features include:

• resultant of two multivariate polynomials

• subresultants of two multivariate polynomials

• greatest common divisor of two multivariate polynomials

• integral division (aka division without remainder) of two multivariate polynomials

• Sturm-Habicht sequence of a multivariate polynomial

• square-free factorization of a multivariate polynomial

• number of real roots of a univariate polynomial in a given interval

• division with remainder of two univariate polynomials

See this blog post for an illustration of the resultant.

License

This package is provided under the GPL-3 license but it uses the C++ library CGAL which requires a license from the GeometryFactory if you wish to use it for commercial purposes.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.