#10346: Inconsistency in computing right eigenvectors of matrices over the
symbolic
ring
------------------------------+---------------------------------------------
Reporter: jvkersch | Owner: jason, was
Type: defect | Status: new
Priority: major | Milestone:
Component: linear algebra | Keywords: eigenvectors, symbolics
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
------------------------------+---------------------------------------------
When computing the left eigenvectors of a matrix over the symbolic ring,
Sage correctly uses the implementation in
sage/matrix/matrix_symbolic_dense.pyx, but as there is no overloaded
function for the right eigenvectors, it falls back to the generic
implementation in sage/matrix/matrix2.pyx, resulting in an exception:
{{{
sage: A = matrix(SR, [[1, 2], [2, 3]]); A
[1 2]
[2 3]
sage: A.eigenvectors_right()
Traceback (most recent call last):
...
TypeError: eigenvectors_left() takes no keyword arguments
sage: A.eigenvectors_left()
[(-sqrt(5) + 2, [(1, -1/2*sqrt(5) + 1/2)], 1), (sqrt(5) + 2, [(1,
1/2*sqrt(5) + 1/2)], 1)]
}}}
This is due to the fact that in the generic case, `eigenvectors_right` is
defined as
{{{
sage: A.eigenvectors_right??
...
return self.transpose().eigenvectors_left(extend=extend)
}}}
whereas `eigenvectors_left` does not take any arguments.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10346>
Sage <http://www.sagemath.org>
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