.. _method-optpp_q_newton-merit_function-argaez_tapia:

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argaez_tapia
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The merit function by Tapia and Argaez


.. toctree::
   :hidden:
   :maxdepth: 1



**Specification**

- *Alias:* None

- *Arguments:* None


**Description**


The "argaez_tapia" merit function can be classified as a modified
augmented Lagrangian function. The augmented Lagrangian is modified by
adding to its penalty term a potential reduction function to handle
the perturbed complementarity condition. The cost per linesearch
iteration is one function evaluation. For more information, see
:cite:p:`Tapia1`.

If the function evaluation is expensive or noisy, set the
``merit_function`` to "argaez_tapia" or "van_shanno".