#4735: Make e^A for A a generic matrix work
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Reporter: jason | Owner: burcin
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.0
Component: calculus | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by kcrisman):
I'm changing the title to address the actual problem reported.
Can you think of a solution to the problem that this doesn't work, though?
{{{
sage: A = matrix(SR, [[1,2],[3,4]])
sage: exp(A)
[-1/22*((sqrt(33) - 11)*e^sqrt(33) - sqrt(33) - 11)*e^(-1/2*sqrt(33) +
5/2) 2/33*(sqrt(33)*e^sqrt(33) - sqrt(33))*e^(-1/2*sqrt(33) +
5/2)]
[ 1/11*(sqrt(33)*e^sqrt(33) - sqrt(33))*e^(-1/2*sqrt(33) +
5/2) 1/22*((sqrt(33) + 11)*e^sqrt(33) - sqrt(33) + 11)*e^(-1/2*sqrt(33) +
5/2)]
sage: A.exp()
[-1/22*((sqrt(33) - 11)*e^sqrt(33) - sqrt(33) - 11)*e^(-1/2*sqrt(33) +
5/2) 2/33*(sqrt(33)*e^sqrt(33) - sqrt(33))*e^(-1/2*sqrt(33) +
5/2)]
[ 1/11*(sqrt(33)*e^sqrt(33) - sqrt(33))*e^(-1/2*sqrt(33) +
5/2) 1/22*((sqrt(33) + 11)*e^sqrt(33) - sqrt(33) + 11)*e^(-1/2*sqrt(33) +
5/2)]
sage: e^A
---------------------------------------------------------------------------
TypeError: mutable matrices are unhashable
}}}
I get the same problem with entries in `RR`, and the original post noted
`RDF` is also a problem.
I wonder if this is more calculus or more linear algebra... maybe a
different component?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4735#comment:6>
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