GroebnerLex Command

CAS Syntax

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 {\mathrm{\mathsf{ 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 {\mathrm{\mathsf{ -x^{3} - x^{2} + 1, -y - x^{2} - 1 }}}.