.. _sphx_glr_auto_examples_fixed_point:

.. _fixed_point_examples:

Fixed point resolution
----------------------




.. raw:: html

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


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    <div class="sphx-glr-thumbcontainer" tooltip="Thanks to the `Picard–Lindelöf theorem, &lt;https://en.wikipedia.org/wiki/Picard%E2%80%93Lindel%C3...">

.. only:: html

  .. image:: /auto_examples/fixed_point/images/thumb/sphx_glr_plot_picard_ode_thumb.png
    :alt: Anderson acceleration in application to Picard–Lindelöf theorem.

  :ref:`sphx_glr_auto_examples_fixed_point_plot_picard_ode.py`

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      <div class="sphx-glr-thumbnail-title">Anderson acceleration in application to Picard–Lindelöf theorem.</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Block coordinate descent converges to a fixed point. It can therefore be accelerated with Ander...">

.. only:: html

  .. image:: /auto_examples/fixed_point/images/thumb/sphx_glr_plot_anderson_wrapper_cd_thumb.png
    :alt: Anderson acceleration of block coordinate descent.

  :ref:`sphx_glr_auto_examples_fixed_point_plot_anderson_wrapper_cd.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Anderson acceleration of block coordinate descent.</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="For a strictly convex function f, \nabla f(x)=0 implies that x is the global optimum f.">

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  .. image:: /auto_examples/fixed_point/images/thumb/sphx_glr_plot_anderson_accelerate_gd_thumb.png
    :alt: Anderson acceleration of gradient descent.

  :ref:`sphx_glr_auto_examples_fixed_point_plot_anderson_accelerate_gd.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Anderson acceleration of gradient descent.</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This implementation is strongly inspired by the Pytorch code snippets in [3].">

.. only:: html

  .. image:: /auto_examples/fixed_point/images/thumb/sphx_glr_deep_equilibrium_model_thumb.png
    :alt: Deep Equilibrium (DEQ) model in Flax with Anderson acceleration.

  :ref:`sphx_glr_auto_examples_fixed_point_deep_equilibrium_model.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Deep Equilibrium (DEQ) model in Flax with Anderson acceleration.</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /auto_examples/fixed_point/plot_picard_ode
   /auto_examples/fixed_point/plot_anderson_wrapper_cd
   /auto_examples/fixed_point/plot_anderson_accelerate_gd
   /auto_examples/fixed_point/deep_equilibrium_model