X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=b2495b59f3264e5d638a59f6630daa77214cdb50;hb=5ce914aa8f29ad8d9d80b85b8ea33dd0cd735d4f;hp=67f390ba24f06e6d0f419609ddb8654afd0a65bf;hpb=33e3a4deff70731138dafc2857ba811b3c66f5b3;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 67f390b..b2495b5 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -9,9 +9,11 @@
 5. Factor out the unit-norm basis (and operator symmetry) tests once
    all of the algebras pass.
 
-6. Create Element subclasses for the matrix EJAs, and then override
-   their characteristic_polynomial() method to create a new algebra
-   over the rationals (with a non-normalized basis). We can then
-   compute the charpoly quickly by passing the natural representation
-   of the given element into the new algebra and computing its charpoly
-   there. (Relies on the theory to ensure that the charpolys are equal.)
\ No newline at end of file
+6. Implement spectral projector decomposition for EJA operators
+   using jordan_form() or eigenmatrix_right(). I suppose we can
+   ignore the problem of base rings for now and just let it crash
+   if we're not using AA as our base field.
+
+7. Do we really need to orthonormalize the basis in a subalgebra?
+   So long as we can decompose the operator (which is invariant
+   under changes of basis), who cares?