I have a hard time understanding that when and under what conditions we can use Gauss elimination with complete pivoting, and when with partial pivoting, and when with no pivoting? (I mean what is the exact feature of a matrix that will tell us which one to choose?)
2026-02-23 14:51:47.1771858307
Complete Pivoting VS Partial Pivoting in Gauss Elimination
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Gaussian Elimination can be used as long as you are not using decimal rounding.
If you are using rounding Gaussian Elimination can be very inaccurate and you should use partial pivoting in this case.
I don't know without a Google when complete pivoting is necessary.