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Aissan,

Whatever you define through solver_parameter only forwards the parameter to the lp solver. If you want a precise definition of what exactly they do, you should refer to the documentation of those solvers. I don't know more than you do on this point.

For GLPK, we copy/pasted the documentation from their manual in the doc of this function: http://doc.sagemath.org/html/en/reference/numerical/sage/numerical/backends/glpk_backend.html#sage.numerical.backends.glpk_backend.GLPKBackend.solver_parameter

You can go check out their official doc to see if more precisions were given.

Nathann