Changes between Initial Version and Version 1 of Ticket #6236, comment 2
- Timestamp:
- 2020-11-21T13:18:51Z (4 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
Ticket #6236, comment 2
initial v1 3 3 Problems arise however as soon as we have non-literal values as coefficients, because we can no longer guarantee a good choice for the pivot in each step of the elimination. Even in your small example, we would need to know that (in the second step) `4*g` is not zero. In that example `g = 0` makes the system singular anyways, but a 3x3 system could be solvable and we just pick the wrong pivot and never know, until simulation. 4 4 5 Since scaling is not an issue here, I suggest we resort to [https://en.wikipedia.org/wiki/Invertible_matrix#Analytic_solution Cramer's rule] instead, since it is a deterministic way of solving these small systems. And then let's hope simplify can tidy up. What do you think?5 Since scaling is not an issue here, I suggest we resort to [https://en.wikipedia.org/wiki/Invertible_matrix#Analytic_solution Cramer's rule] instead, since it is a deterministic (no pun intended) way of solving these small systems. And then let's hope simplify can tidy up. What do you think?