:orphan:

Linear Problems
===============



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

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    <div class="sphx-glr-thumbcontainer" tooltip="Here we demonstrate the basics of inverting data with SimPEG by considering a linear inverse problem. We formulate the inverse problem as a least-squares optimization problem. For this tutorial, we focus on the following:">

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  .. image:: /content/tutorials/02-linear_inversion/images/thumb/sphx_glr_plot_inv_1_inversion_lsq_thumb.png
    :alt:

  :ref:`sphx_glr_content_tutorials_02-linear_inversion_plot_inv_1_inversion_lsq.py`

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      <div class="sphx-glr-thumbnail-title">Linear Least-Squares Inversion</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Least-squares inversion produces smooth models which may not be an accurate representation of the true model. Here we demonstrate the basics of inverting for sparse and/or blocky models. Here, we used the iteratively reweighted least-squares approach. For this tutorial, we focus on the following:">

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  .. image:: /content/tutorials/02-linear_inversion/images/thumb/sphx_glr_plot_inv_2_inversion_irls_thumb.png
    :alt:

  :ref:`sphx_glr_content_tutorials_02-linear_inversion_plot_inv_2_inversion_irls.py`

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      <div class="sphx-glr-thumbnail-title">Sparse Inversion with Iteratively Re-Weighted Least-Squares</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /content/tutorials/02-linear_inversion/plot_inv_1_inversion_lsq
   /content/tutorials/02-linear_inversion/plot_inv_2_inversion_irls


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  .. container:: sphx-glr-footer sphx-glr-footer-gallery

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: 02-linear_inversion_python.zip </content/tutorials/02-linear_inversion/02-linear_inversion_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: 02-linear_inversion_jupyter.zip </content/tutorials/02-linear_inversion/02-linear_inversion_jupyter.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_