From: Michael Orlitzky <michael@orlitzky.com>
Date: Wed, 21 Aug 2019 15:09:25 +0000 (-0400)
Subject: eja: add an optimization to the TODO.
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=403848519cc35245713ffb96b2372deb1ee1c621;p=sage.d.git

eja: add an optimization to the TODO.
---

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 58cab5a..382fb6e 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -8,3 +8,10 @@
 
 5. Factor out the Jordan axiom and norm 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.)
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