Timeline for Diagonalize the simultaneous matrices and its background [closed]
Current License: CC BY-SA 3.0
15 events
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Mar 30, 2017 at 18:50 | comment | added | Henry.L | To all those voted to hold this topic: I have no idea what is the meaning/beneficial of putting such an old post on hold. And it is actually one of the first posts that attracts me here. | |
Mar 29, 2017 at 19:12 | history | closed |
Denis Serre Sebastian Goette Jan-Christoph Schlage-Puchta Neil Strickland Chris Godsil |
Not suitable for this site | |
Mar 29, 2017 at 13:12 | review | Close votes | |||
Mar 29, 2017 at 19:12 | |||||
May 5, 2013 at 5:27 | comment | added | Henry.L | It's not so obvious as it seems, Gatnmacher provided a proof using row operations in Theory of matrices and A.Horn proceed as a special example of nonnegative matrices. Yes, I shall have done more before asking que1 and que2. But as far as I concerned I did not see why this is related to lie-algebra. Thank all your kind suggestions! It really helps. | |
May 5, 2013 at 5:24 | vote | accept | Henry.L | ||
May 4, 2013 at 15:38 | comment | added | Benoît Kloeckner | As far as I understand your question (which make little sense even after corrections: e.g. what is $F$ now?), it is basic material which you will find in any book treating these questions. Voting to close. | |
May 4, 2013 at 14:42 | answer | added | Name | timeline score: 4 | |
May 4, 2013 at 5:02 | comment | added | S. Carnahan♦ | Have you read en.wikipedia.org/wiki/… ? | |
May 4, 2013 at 3:47 | comment | added | Henry.L | Update and made corrections about the conditions, real field will be just fine. My ignorance, sorry. | |
May 4, 2013 at 3:44 | history | edited | Henry.L | CC BY-SA 3.0 |
Major corrections; deleted 1 characters in body; added 1 characters in body; edited body
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May 3, 2013 at 13:26 | comment | added | Misha | What do you mean by "non-negative definite" matrix over a general field? What does "Hermitian" mean over a general field? What "special property" do you have in mind. (See if you can identify such property in the case when $F={\mathbb R}$.) | |
May 3, 2013 at 13:22 | comment | added | Henry Cohn | This question doesn't make sense as stated, since "nonnegative definite" and "Hermitian" aren't defined for a general field. (Even if your field is the complex numbers, do you want to assume $A$ and $B$ commute, so you can take $P$ to be unitary?) See mathoverflow.net/questions/118680 for information about which fields have the property that every symmetric matrix is diagonalizable. | |
May 3, 2013 at 11:09 | history | edited | Henry.L | CC BY-SA 3.0 |
small modification; deleted 66 characters in body
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May 3, 2013 at 11:03 | comment | added | Henry.L | I'm very curious, how such a question was raised and left unanswered during a Lie-algebra course... | |
May 3, 2013 at 10:48 | history | asked | Henry.L | CC BY-SA 3.0 |