polys.rst

Polynomials

.. automodule:: diofant.polys

Computations with polynomials are at the core of computer algebra and having a fast and robust polynomials manipulation module is a key for building a powerful symbolic manipulation system. Here we document a dedicated module for computing in polynomial algebras over various coefficient domains.

There is a vast number of methods implemented, ranging from simple tools like polynomial division, to advanced concepts including Gröbner bases and multivariate factorization over algebraic number domains.

Basic polynomial manipulation functions

.. automodule:: diofant.polys.polytools
    :members:

Extra polynomial manipulation functions

.. automodule:: diofant.polys.polyfuncs
    :members:

Domain constructors

.. automodule:: diofant.polys.constructor
    :members:

Algebraic number fields

.. automodule:: diofant.polys.numberfields
    :members:

Monomials encoded as tuples

.. automodule:: diofant.polys.monomials
    :members:

Orderings of monomials

.. automodule:: diofant.polys.orderings
    :members:

Formal manipulation of roots of polynomials

.. automodule:: diofant.polys.rootoftools
    :members:

Symbolic root-finding algorithms

.. automodule:: diofant.polys.polyroots
    :members:

Special polynomials

.. automodule:: diofant.polys.specialpolys
    :members:

Orthogonal polynomials

.. automodule:: diofant.polys.orthopolys
    :members:

Manipulation of rational functions

.. automodule:: diofant.polys.rationaltools
    :members:

Partial fraction decomposition

.. automodule:: diofant.polys.partfrac
    :members: