Timeline for Problem with the plots of eigenvalues of the Matrix
Current License: CC BY-SA 4.0
17 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 9, 2021 at 23:05 | vote | accept | sslucifer | ||
| Sep 9, 2021 at 2:45 | history | edited | sslucifer | CC BY-SA 4.0 |
added 409 characters in body; added 2 characters in body
|
| Sep 9, 2021 at 0:09 | answer | added | Bob Hanlon | timeline score: 2 | |
| Sep 8, 2021 at 23:32 | comment | added | sslucifer | @BobHanlon Can you redo the calculation in v12.3.1 for the matrix above with the floating numbers are in machine precision. If you don't get these crossing, I believe its the bug then. | |
| Sep 8, 2021 at 23:28 | comment | added | sslucifer | @march it does, I have tried it. However, if I used SetPrecision to 10, then it doesn't happen. However, if I change arguments [0,0,z] to [x,0,0], the problem remains. | |
| Sep 8, 2021 at 23:22 | comment | added | march |
Does it still occur if don't FullSimplify or if you Rationalize either hamil or the eigenvalue functions?
|
|
| Sep 8, 2021 at 23:21 | comment | added | sslucifer | @march you are right, in the previous post it was a feature, but in this case I think there is some problem of precision of floating numbers, but I am not sure. | |
| Sep 8, 2021 at 22:34 | comment | added | march | @BobHanlon. I'm not sure that it's equivalent, because in the previous post, the eigenvalues cross, and switch where they cross, whereas here, they're switching at some arbitrary position. | |
| Sep 8, 2021 at 22:06 | comment | added | Bob Hanlon |
With v12.3.1 the crossovers don't occur. However, with versions that do, this is equivalent to the question that you asked here
|
|
| Sep 8, 2021 at 22:05 | history | edited | sslucifer | CC BY-SA 4.0 |
added 406 characters in body
|
| Sep 8, 2021 at 22:01 | comment | added | march |
That's strange! To my understanding, Root objects automatically sort the eigenvalues (although all I could find in the documentation was "The ordering used by Root[f,k] takes real roots to come before complex ones"), so I'm surprised it's doing this.
|
|
| Sep 8, 2021 at 21:58 | comment | added | sslucifer | I am running in Ver 12.1.1 on OSX 11.5.2 | |
| Sep 8, 2021 at 21:51 | comment | added | march | I still can't reproduce the error (directly copying and running your code)! What version are you using? | |
| Sep 8, 2021 at 21:49 | comment | added | sslucifer | @march I missed _ in front of kz in hamil function. Please check that one. I made the edits. | |
| Sep 8, 2021 at 21:48 | history | edited | sslucifer | CC BY-SA 4.0 |
added 1 character in body
|
| Sep 8, 2021 at 21:48 | comment | added | march | I cannot reproduce this (Ver 12.0.0 on OSX 10.15.7). | |
| Sep 8, 2021 at 21:38 | history | asked | sslucifer | CC BY-SA 4.0 |