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May 4, 2018 at 19:05 comment added Todd Trimble Made Community Wiki on advice from an expert (that there is no one definitive answer, but a list of possible answers).
May 4, 2018 at 19:04 history made wiki Post Made Community Wiki by Todd Trimble
May 4, 2018 at 15:20 history reopened Carlo Beenakker
David White
Alexey Ustinov
Stefan Kohl
Yemon Choi
May 4, 2018 at 10:40 comment added lcv Plus a long list of solvable many body quantum systems.
May 4, 2018 at 10:21 comment added Suvrit @FedericoPoloni there can be really several more answers, including matrices based on sin-cos, special bidiagonal matrices, certain anti-bi-diagonal matrices, possibly some matrices reported in the journal on special matrices, etc. etc.,
May 4, 2018 at 7:26 review Reopen votes
May 4, 2018 at 15:20
May 4, 2018 at 7:10 history edited Slenderman CC BY-SA 4.0
Tried to limit my scope, to probably no avail
May 3, 2018 at 15:12 history closed Piotr Hajlasz
András Bátkai
Stefan Kohl
Chris Godsil
Michael Renardy
Needs more focus
May 3, 2018 at 11:40 comment added Federico Poloni @AndrásBátkai Are there really that many possible answers? I don't think it is so hopeless. On the top of my mind I can only come up with companion matrices (possibly in various bases), matrix algebras (including circulant matrices), identity-plus-low-rank matrices, Kronecker products.
May 3, 2018 at 9:18 comment added Federico Poloni "tridiagonal matrices have elementary expressions for its eigenvalues and eigenvectors" Uh? Every symmetric matrix is similar to a tridiagonal matrix (and the similarity can be explicitly constructed), so that sounds very strange (unless we have two very different concepts of "known analytic eigendecomposition" in mind).
May 3, 2018 at 5:48 comment added András Bátkai What you ask is a really important problem, but I am not sure in its form suitable here. There are so many possible answers... Please, ask a more focused question.
May 3, 2018 at 5:12 review Close votes
May 3, 2018 at 15:14
May 3, 2018 at 3:40 review First posts
May 3, 2018 at 4:43
May 3, 2018 at 3:40 history asked Slenderman CC BY-SA 4.0