Post new topic Reply to topic  [ 1 post ] 
Author Message
 Post subject: linear algebra on polynomials
PostPosted: Tue Dec 19, 2006 7:09 pm 

Joined: Tue Dec 19, 2006 6:35 pm
Posts: 1
Location: Singapore
is there an obvious way to solve the following (easy) problem in Singular:
given a finite-dimensional subspace S of homogeneous polynomials over a field F, determine whether a given polynomial g is contained in S, and, if yes, to provide an expression in generators of S. (S is given by a list f_1,..,f_k of polynomials that generate it.)

Obviously, Singular can compute whether g is contained in the ideal (f_1,...f_k), but
here the problem is easier, and can be solved by building and solving a system of linear
equations.
So my question is how to avoid coding this myself (something that requires bookeeping of monomials present in f_i's, etc etc).

Thanks,
Dmitrii


Report this post
Top
 Profile  
Reply with quote  
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 1 post ] 

You can post new topics in this forum
You can reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

It is currently Sat Sep 22, 2018 9:14 pm
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group