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"repeated iteratively" is correct and usable in written English.
You can use it to describe something that is done repeatedly in a step-by-step or cycle-like fashion. For example, "This set of calculations must be repeated iteratively until the desired outcome is achieved."
Exact(60)
This process is repeated iteratively until convergence.
The procedure may be repeated iteratively.
This procedure is repeated iteratively until the required number of sampled landmarks is reached and their positions are optimized.
The enlarging process is repeated iteratively until the desired accuracy is achieved.
The steps above are repeated iteratively until convergence, i.e., the Hausdorff distance between two sequential denoised meshes is less than a pre-defined threshold.
This coupling is then repeated iteratively until a termination criterion (such as a prescribed error threshold or a fixed number of iterations) is attained.
The process is repeated iteratively.
The entire process is repeated iteratively.
It is repeated iteratively into the residual signal obtained.
This is repeated iteratively, until the algorithm converges.
This process is repeated iteratively until a specified termination criterion is met.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com