#19496: Improve FiniteStateMachine.number_of_words
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Reporter: cheuberg | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.10
Component: finite state machines | Keywords:
Merged in: | Authors: Clemens Heuberger
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Improve `FiniteStateMachine.number_of_words`:
- provide a parameter `base_ring` (currently, `QQbar` is always used)
- remove `assert` statements (may produce `DivisionByZero` due to
evaluation for small `n`)
- add doctest for eigenvalue zero
- compute in `base_ring` as long as possible and move to symbolic ring as
late as possible
- do not compute inverses, but solve linear systems of equations
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Ticket URL: <http://trac.sagemath.org/ticket/19496>
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