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Iterate until convergence occurs Choose the next parameter index j according to the cyclic rule Compute β j (J ) using (14) and (15) If ‖ β(J )‖2 < ε and Q J )(β(J ) + λΦ(J )(β(J ))) ≥ 0 then Compute the descent direction Δ J ) of (12) at zero by (16) Use line search to find t, such that Q(J )(tΔ(J )) + λΦ(J )(tΔ(J )) < 0 Let β(J ) = tΔ(J ).
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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