.. _sphx_glr_api_gallery_optimization_least_squares:

Nonlinear least squares
-----------------------

Curve fitting with the Levenberg-Marquardt method.


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    <div class="sphx-glr-thumbcontainer" tooltip="Fits a four-parameter damped cosine to noisy data. The residuals depend nonlinearly on the decay rate and frequency, so the fit needs an iterative method; Levenberg-Marquardt blends gradient descent (far from the solution) with Gauss-Newton (close to it).">

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  .. image:: /api/gallery/optimization/least_squares/images/thumb/sphx_glr_plot_01_levenberg_marquardt_thumb.png
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  :doc:`/api/gallery/optimization/least_squares/plot_01_levenberg_marquardt`

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      <div class="sphx-glr-thumbnail-title">Levenberg-Marquardt: fitting a damped oscillation</div>
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.. toctree::
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   /api/gallery/optimization/least_squares/plot_01_levenberg_marquardt