Changes between Initial Version and Version 1 of Ticket #6236, comment 2


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Timestamp:
2020-11-21T13:18:51Z (4 years ago)
Author:
Philip Hannebohm

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  • Ticket #6236, comment 2

    initial v1  
    33Problems 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.
    44
    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?
     5Since 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?