What is the magnitude of the differences you are observing in the resulting coefficients and SSE? Gaussian curve fitting uses the NonlinearLeastSquares method which involves iterative floating point computations. Any change, however small, in the underlying mathematical libraries could lead to differences in the computed fit. Within the range of the stability/usefulness/suitableness of this gaussian functional form to fit your data, the high-level expectation is that the resulting fit from both computers should be similarly acceptable and useful for the intended purpose. In other words, the differences between the fits are expected to be relatively small.
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