Timeline for Roots of determinant of matrix with polynomial entries
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 16, 2020 at 14:55 | comment | added | GA316 | ok. Thanks a lot. | |
| Jul 16, 2020 at 14:36 | comment | added | Rodrigo de Azevedo | @GA316 The less structured the matrix, the more general the tool. One can always use Laplace expansion, though I avoid it like the plague. | |
| Jul 16, 2020 at 14:30 | comment | added | GA316 | hmm. ok. Thank you. Do you know any different approach? kindly share some references. Thank you. | |
| Jul 16, 2020 at 14:28 | comment | added | Rodrigo de Azevedo | @GA316 Once you destroy the "invertible matrix + rank-1 matrix" structure, you have to use another approach. | |
| Jul 16, 2020 at 14:11 | comment | added | GA316 | Consider your matrix $A(x)$. Now, I make some entries zero randomly such a way the if $a_{ij} =0$ then $a_{ji} = 0$. Remaining entries of $A(x)$ are unchanged. Thank you. | |
| Jul 16, 2020 at 13:57 | comment | added | Rodrigo de Azevedo | @GA316 The matrix determinant lemma is used for rank-$1$ updates of invertible matrices. I assume it can be generalized to non-invertible matrices. What kind of matrices do you have in mind? | |
| Jul 16, 2020 at 13:39 | comment | added | GA316 | is it possible to do this, if I assume some entries if this matrix are zero other entries are as it is? Thank you. | |
| Jul 16, 2020 at 10:55 | comment | added | GA316 | Thank you. The reference is very helpful. | |
| Jul 16, 2020 at 10:54 | vote | accept | GA316 | ||
| Jul 16, 2020 at 10:37 | history | answered | Rodrigo de Azevedo | CC BY-SA 4.0 |