gfanMarkPolynomialSet -- mark the initial terms of a list of polynomials with respect to a weight vector

Synopsis

Usage:

M = gfanMarkPolynomialSet(L,W)
Inputs:
- L, a list, of polynomials
- W, a list, a weight vector
Outputs:
- M, a marked polynomial list, the polynomials in L marked with respect to W

Description

This method marks the leading terms a given polynomial list. The leading term of a polynomial is the term whose exponent vector has the largest dot product with W.

i1 : QQ[x,y,z];

i2 : gfanMarkPolynomialSet({x + y + z, x^10 + y^4 + z^2, x^2*z + y^2}, {1, 3, 5})

                     4     10    2    2      2
o2 = {(z) + x + y, (y ) + x   + z , (x z) + y }

o2 : MarkedPolynomialList

gfan Documentation

This program marks a set of polynomials with respect to the vector given at the end of the input, meaning that the largest terms are moved to the front. In case of a tie the lexicographic term order with $a>b>c...$ is used to break it.
Options:

Ways to use gfanMarkPolynomialSet :

gfanMarkPolynomialSet(List,List)

For the programmer

The object gfanMarkPolynomialSet is a method function with options.