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Oct 1, 2016 at 20:24 history closed Suvrit
Michael Albanese
Alex Degtyarev
Wolfgang
Jan-Christoph Schlage-Puchta
Duplicate of Eigenvalues of matrix sums
Oct 1, 2016 at 18:44 review Close votes
Oct 1, 2016 at 20:24
S Oct 1, 2016 at 12:57 history suggested Rodrigo de Azevedo CC BY-SA 3.0
Minor edits
Oct 1, 2016 at 12:47 review Suggested edits
S Oct 1, 2016 at 12:57
Mar 11, 2012 at 17:15 comment added Misha People mostly know the eigenvalue problem for Hermitian matrices. However, the answer in the symmetric case is given by exactly the same inequalities (Klyachko's inequalities in non-recursive form and Horn's inequalities in the recursive form), see Fulton's survey article.
Mar 11, 2012 at 16:44 comment added Denis Serre One of the works for which Terry Tao was given a Fields medal is precisely solving this problem. More precisely, he (with collaborator Knutson), proved Alfred Horn's conjecture. Well documented in Fulton's paper mentionned above.
Mar 11, 2012 at 2:07 comment added Yemon Choi Assuming that by symmetric you mean real-symmetric, then this case would seem to be at least as hard as the case where A and B are Hermitian (since once can always conjugate A and B by a common matrix which diagonalizes B)
Mar 11, 2012 at 1:56 comment added Misha Read Fulton's survey, arxiv.org/abs/math/9908012
Mar 11, 2012 at 1:18 history asked Michele CC BY-SA 3.0