GroebnerLex Command

GroebnerLex[ <List of Polynomials> ]

Computes the Gröbner basis of the list of the polynomials with respect to lexicographical ordering of the variables (also known as lex, plex or pure lexical ordering).

Example:

GroebnerLex[{x^3-y-2,x^2+y+1}] yields { y^{3} + 4 y^{2} + 7 y + 5, x - y^{2} - 3 y - 3 }.

GroebnerLex[ <List of Polynomials>, <List of Variables> ]

Computes the Gröbner basis of the list of the polynomials with respect to lexicographical ordering of the given variables (also known as lex, plex or pure lexical ordering).

Example:

GroebnerLex[{x^3-y-2,x^2+y+1},{y,x}] yields { -x^{3} - x^{2} + 1, -y - x^{2} - 1 }.

Note: See also GroebnerDegRevLex, GroebnerLexDeg commands.