Scientific way to describe “over linear growth”

I am aware that typically we use “linear” growth or “exponential” growth to describe certain trending, which seems very standard and scientific.

But on the other hand, what is a proper and scientific way to describe a trending that is “over” linear (faster than linear), but apparently not yet exponential? Can I simply say “over linear”? Thanks.

For instance:

The processing time grows over linearly w.r.t. the number of loop iterations.



(mathematics) Describing a function that eventually grows faster than any linear one

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