Timeline for Eigenvalues of the sum of two matrices [duplicate]
Current License: CC BY-SA 3.0
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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 |
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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 |