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The minimal objective function values of problems (P) and (P1) are equal, i.e., (f(x^{ast})=G y^{ast})).
If the result meets termination criterion (value of minimal objective function or maximum iteration number), the algorithm stops, otherwise, go to step 2. .
We next enumerate each possible T c (t) and take out the optimal T c (t) associated with the minimal objective function value.
We next enumerate T c (t) and take out the optimal T c (t) associated with the minimal objective function value.
If the result meets termination criterion (value of minimal objective function or maximum iteration number), the algorithm stops, otherwise, go to step 2. Neuro-fuzzy network is composed of artificial neural network and fuzzy inference system.
Step 4 (Stopping the test) When the minimal objective function Z cannot be further reduced in the above steps, the matrix Y ij can be considered one of the optimal solutions.
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By using the recurrence relation the minimal value of the objective function in (15) can be found at the last step of optimization.
The superiorization methodology (SM) strives not to solve (4.1) but rather the task is to find a point in Ψ which is superior, i.e., has a lower, but not necessarily minimal, value of the objective function ϕ.
The superiorization methodology strives not to solve (5), but rather the task is to find a point in (Psi_{P}) which is superior, i.e., has a lower, but not necessarily minimal, value of the objective function ϕ.
Another recent research proposes an algorithm (PSEUDO) to find suboptimal clouds of flux distributions in metabolic networks with a minimal rearrangement of the objective function.
Two other parameters, e, the minimal change in the objective function for terminating the clustering process and T max, the maximal number of iterations, are also specified.
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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