diff --git a/doc/source/users/user_manual/likelihood.rst b/doc/source/users/user_manual/likelihood.rst index f99aed8..6d32ee5 100755 --- a/doc/source/users/user_manual/likelihood.rst +++ b/doc/source/users/user_manual/likelihood.rst @@ -177,14 +177,9 @@ Levenberg-Marquardt algorithm ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ctools uses an iterative Levenberg-Marquardt algorithm for maximum likelihood -estimation. Since the Levenberg-Marquardt algorithm minimizes a function, we -use - -.. math:: - f(M) = -\ln L(M) - -as the function to minimize by the algorithm. The Levenberg-Marquardt algorithm -starts with an inital guess of the :ref:`model ` parameters +estimation. Since the Levenberg-Marquardt algorithm minimises a function, we +use :math:`-\ln L(M)` as the function to minimse. The Levenberg-Marquardt +algorithm starts with an inital guess of the :ref:`model ` parameters :math:`a_k` and iteratively replaces this estimate by a new estimate :math:`a_k + \Delta a_k`. The :math:`\Delta a_k` are determined by solving