#20788: Compute dimensions of individual generalized eigenspaces
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Reporter: kedlaya | Owner:
Type: | Status: new
enhancement | Milestone: sage-7.3
Priority: minor | Keywords: matrices, eigenspaces,
Component: linear | dimension
algebra | Authors:
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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Given a square matrix `M` over a field and an element `t` of the field, it
is easy to compute the dimension of the left eigenspace of `M` with
eigenvalue `t`, by computing the rank of `M-t` and subtracting it from the
dimension of `M`. There should be a method for this.
Computing the multiplicity of the generalized eigenspace is slightly more
involved, but also not difficult. There should be a method for this too; I
already have it written and will get it onto this ticket soon.
It would also be useful to have methods returning eigenspaces and
generalized eigenspaces for individual eigenvalues, without computing all
of them.
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Ticket URL: <http://trac.sagemath.org/ticket/20788>
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