.. _sphx_glr_api_gallery_optimization_test_functions:

Benchmark functions
-------------------

Rosenbrock's banana function, the standard stress test for optimizers.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="f(x, y) = 100(y-x^2)^2 + (1-x)^2 has its minimum f=0 at (1, 1), at the end of a banana-shaped valley along the parabola y = x^2. The walls are steep, but the floor is almost flat, so a method without curvature information finds the valley quickly and then crawls along it.">

.. only:: html

  .. image:: /api/gallery/optimization/test_functions/images/thumb/sphx_glr_plot_01_rosenbrock_banana_thumb.png
    :alt:

  :doc:`/api/gallery/optimization/test_functions/plot_01_rosenbrock_banana`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Rosenbrock's banana function: a narrow curved valley</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/optimization/test_functions/plot_01_rosenbrock_banana