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| linear algebra on polynomials https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1624 |
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| Author: | pasechnik [ Tue Dec 19, 2006 7:09 pm ] |
| Post subject: | linear algebra on polynomials |
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 |
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