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Chris Godsil
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(1) Look up Gauss-Bareiss and Dodgson contractioncondensation - the determinant can be computed fraction-free over a PID.   

(2) Try interpolation. I've used this in anger for the two-variable case, it does look less pleasant with three variables.

(1) Look up Gauss-Bareiss and Dodgson contraction - the determinant can be computed fraction-free over a PID.  (2) Try interpolation. I've used this in anger for the two-variable case, it does look less pleasant with three variables.

(1) Look up Gauss-Bareiss and Dodgson condensation - the determinant can be computed fraction-free over a PID. 

(2) Try interpolation. I've used this in anger for the two-variable case, it does look less pleasant with three variables.

Source Link
Chris Godsil
  • 12.1k
  • 5
  • 37
  • 61

(1) Look up Gauss-Bareiss and Dodgson contraction - the determinant can be computed fraction-free over a PID. (2) Try interpolation. I've used this in anger for the two-variable case, it does look less pleasant with three variables.