Timeline for Positive solutions of linear Diophantine equations
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 9, 2010 at 16:15 | vote | accept | SIB | ||
| May 9, 2010 at 16:16 | |||||
| May 9, 2010 at 9:49 | comment | added | Wadim Zudilin | @Sergei: +1. Nevertheless the question "Are there conditions on $b$ that would guarantee the existence of a non-negative integer solution of $Ax=b$?" remains. | |
| May 9, 2010 at 9:25 | comment | added | Pete L. Clark | Agreed. My intuition about what was happening over the real numbers was flawed. It should still be true that for a fixed coefficient matrix, there exists a constant $C$ such that if the $n-k$-dimensional volume of the real solution space intersected with the positive orthant is greater than $C$, there exists a positive integer solution. | |
| May 9, 2010 at 9:03 | history | answered | Sergei Ivanov | CC BY-SA 2.5 |