Timeline for Bounds for the infinity norm of the inverse for certain diagonaly dominant matrices
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 23, 2014 at 20:50 | comment | added | fedja | I actually referred to "(or a small perturbation of)" :-) Sorry for the ambiguity. | |
| May 23, 2014 at 19:09 | history | edited | Joshuald1986 | CC BY-SA 3.0 |
added 85 characters in body
|
| May 23, 2014 at 13:35 | comment | added | Joshuald1986 | yes, that's what i want i mean. one can get some bounds in terms of matrix entries, but that makes sense only if you have large sizes and want to compute your bound way quicker than to just invert the matrix and look at the result | |
| May 23, 2014 at 1:41 | comment | added | fedja | --- I m pretty sure also that the matrix A is a non-singular matrix.In your exemple, it's not the case. --- ??? Have you read the text in parentheses in my comment?. | |
| May 22, 2014 at 18:37 | comment | added | Joshuald1986 | I m pretty sure also that the matrix $A$ is a non-singular matrix.In your exemple, it's not the case. | |
| May 22, 2014 at 18:30 | comment | added | Joshuald1986 | Yes fedja, I want the bound in terms of $n$, the size of $A$ (something like $||A^{-1}||_{\infty} \leq 3n$ because i can have large matrix and calcute the inverse cost much. | |
| May 22, 2014 at 18:15 | comment | added | fedja | So far your conditions do not prevent $A$ from being degenerate or as close to it as it wants: take (a small perturbation of) $\begin{bmatrix}1&-1&0\\-1&1&0\\0&0&1\end{bmatrix}$. So, can you state exactly what you are looking for? (I mean, one can get some bounds in terms of matrix entries, but that makes sense only if you have large sizes and want to compute your bound way quicker than to just invert the matrix and look at the result). | |
| May 22, 2014 at 16:30 | review | First posts | |||
| May 22, 2014 at 16:30 | |||||
| S May 22, 2014 at 16:28 | history | suggested | Jeremy Rouse |
Removed the "number theory" tag, which is not relevant.
|
|
| May 22, 2014 at 16:19 | review | Suggested edits | |||
| S May 22, 2014 at 16:28 | |||||
| May 22, 2014 at 16:11 | history | asked | Joshuald1986 | CC BY-SA 3.0 |