Timeline for Is an almost-solvable linear equation with integer coefficients solvable?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 4, 2023 at 21:57 | comment | added | Gerry Myerson | "here $M$ and $b$ are not fixed...." But the very first phrase in the question is, "Let $M$ be a fixed $m\times n$ rectangular matrix...." | |
| Jul 5, 2023 at 16:37 | comment | added | Leon Staresinic | In these terms my question can be rephrased as: If $\| Pb \|$ is non-zero, is it uniformly bounded? Note again that $b$ has non-negative integers for coefficients. | |
| Jul 5, 2023 at 16:02 | history | edited | Robert Israel | CC BY-SA 4.0 |
added 255 characters in body
|
| Jul 5, 2023 at 15:40 | comment | added | Leon Staresinic | I was perhaps unclear, here $M$ and $b$ are not fixed, the only thing known is that $b$ has much bigger coefficients and that there is this $x'$ which is almost a solution. For example, it the case when $n = 1$, it can be easily seen that the statement is true if $b$ is big enough and the $x'$ very close to a solution. It is also true for several small combinations of $n$ and $m$. | |
| Jul 5, 2023 at 15:26 | history | answered | Robert Israel | CC BY-SA 4.0 |