#13854: Fix of _matrix_times_vector_
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Reporter: tfeulner | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone: sage-5.6
Component: algebra | Keywords: non-commutative ring, matrix
vector product
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Thomas Feulner
Merged in: | Dependencies:
Stopgaps: |
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For non-commutative rings the method
{{{Matrix_sparse._matrix_times_vector_}}} does not take care of the right
multiplication order in the ring, for example:
{{{
sage: A.<x,y> = FreeAlgebra(QQ, 2)
sage: P.<x,y> = A.g_algebra(relations={y*x:-x*y}, order = 'lex')
sage: M = Matrix([[x]])
sage: v = vector([y])
sage: M*v
(x*y)
sage: M.sparse_matrix()*v
(-x*y)
}}}
This patch fixes this bug.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13854>
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