Timeline for Upper bound for sum of absolute values of eigenvalues of Hermitian matrix
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8, 2015 at 12:55 | vote | accept | user32422 | ||
| Sep 8, 2015 at 12:44 | answer | added | Andreas Thom | timeline score: 1 | |
| Sep 8, 2015 at 12:42 | comment | added | Carlo Beenakker | OK, I've edited the title to more accurately correspond to your question (changed "trace" into "sum of absolute value of eigenvalues") | |
| Sep 8, 2015 at 12:41 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
corrected the title in view of the comment of the OP of what is actually the question
|
| Sep 8, 2015 at 12:27 | comment | added | user32422 | @Carlo Beenakker I've corrected my question. I don't know the sum of their absolute values and neither does I want to know the sum of reals. I'm interested in the former. The problem is: almost everything, what I know about the matrix, comes from concepts in physics. The question is probably not suited for this site. I had not given the topic enough thought. | |
| Sep 8, 2015 at 11:59 | history | edited | user32422 | CC BY-SA 3.0 |
Comments
|
| Sep 8, 2015 at 11:29 | comment | added | Carlo Beenakker | so it's like asking what you can say about the sum of reals when you know the sum of their absolute values; the latter will be an upper bound to the former, but I can't imagine you can lower that. | |
| Sep 8, 2015 at 11:01 | history | edited | user32422 | CC BY-SA 3.0 |
Comments
|
| Sep 8, 2015 at 10:44 | history | edited | user32422 | CC BY-SA 3.0 |
Comments
|
| Sep 8, 2015 at 10:32 | comment | added | user32422 | Sorry, it's not that clear. The matrix is not given. But due to physical constraints I have an upper bound for the biggest matrix element. Also, I have a good estimate for the average absolute value of a matrix element. | |
| Sep 8, 2015 at 10:15 | comment | added | Carlo Beenakker | I'm a bit confused: if the matrix is given, you just sum the diagonal elements to get the trace, what "bound" on the trace would you want? | |
| Sep 8, 2015 at 9:54 | review | First posts | |||
| Sep 8, 2015 at 9:58 | |||||
| Sep 8, 2015 at 9:51 | history | asked | user32422 | CC BY-SA 3.0 |