#15827: Fast check for linear dependence
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: linear algebra | Keywords: linear dependence check
Merged in: | Authors: Travis Scrimshaw
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently I can check for linear dependence by
{{{
sage: V = QQ^4
sage: ld = lambda vecs: len(V.linear_dependence(ves) > 0
}}}
However this is relatively slow since it determines a basis of all such
linear dependencies. Also it only works for vector spaces. A faster way to
do a simple check is to construct a matrix of the vectors, echelonize the
matrix, and see if any of the resulting rows are 0.
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Ticket URL: <http://trac.sagemath.org/ticket/15827>
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