from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. A set of the eigenvectors associated with a particular eigenvalue, together with the zero vector.
Changing a sign does not affect orthogonality of the eigenspace.
Would that not destroy the eigenspace of the decomposition?
Unfortunately, the (-1) - eigenspace on E8 (where the fermions must exist) has either 112 or 128 dimensions-too few to account for the known fermions.
The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra.