Timeline for Maximum column norm of random $A^{-1}B$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 5 at 11:12 | answer | added | loup blanc | timeline score: 1 | |
| May 2 at 18:07 | comment | added | ZZZZZZ | Hi loup, that median means the median of the many samples of ||A^{-1}b||_2. Since the bound is an upper bound, it actually means the smaller half. (I am curious about a similar result of max_j || 𝐴^{-1} 𝐵_j ||_2. ) | |
| May 2 at 13:58 | comment | added | loup blanc | What is the median for you ? The mean or (50% below , 50% above). | |
| Apr 12 at 18:02 | comment | added | ZZZZZZ | Still, thank you so much for providing this intuition. | |
| Apr 12 at 17:57 | comment | added | Iosif Pinelis | Unfortunately, I don't have such references or evidence. | |
| Apr 12 at 17:54 | comment | added | ZZZZZZ | I see. That is still very interesting for me. Do you know any references or evidence for this result? Or are there any suggestions on how should I prove it? Thanks so much. | |
| Apr 12 at 16:55 | comment | added | Iosif Pinelis | I think it is more likely to be $\asymp\sqrt n\,\ln n$. For $n$ not too large, numerical experiments may not detect the log factor. | |
| Apr 12 at 16:21 | history | asked | ZZZZZZ | CC BY-SA 4.0 |