|  | @@ -27,13 +27,18 @@ solving the following optimization problem [#f1]_ .
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				|  |  |            L \le x \le U
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				|  |  |    :label: nonlinsq
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				|  |  |  
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				|  |  | -Here, the Jacobian :math:`J(x)` of :math:`F(x)` is an :math:`m\times
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				|  |  | -n` matrix, where :math:`J_{ij}(x) = \partial_j f_i(x)` and the
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				|  |  | -gradient vector :math:`g(x) = \nabla \frac{1}{2}\|F(x)\|^2 = J(x)^\top
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				|  |  | -F(x)`. Since the efficient global minimization of :eq:`nonlinsq` for
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				|  |  | +Where, :math:`L` and :math:`U` are lower and upper bounds on the
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				|  |  | +parameter vector :math:`x`.
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				|  |  | +
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				|  |  | +Since the efficient global minimization of :eq:`nonlinsq` for
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				|  |  |  general :math:`F(x)` is an intractable problem, we will have to settle
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				|  |  |  for finding a local minimum.
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				|  |  |  
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				|  |  | +In the following, the Jacobian :math:`J(x)` of :math:`F(x)` is an
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				|  |  | +:math:`m\times n` matrix, where :math:`J_{ij}(x) = \partial_j f_i(x)`
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				|  |  | +and the gradient vector is :math:`g(x) = \nabla \frac{1}{2}\|F(x)\|^2
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				|  |  | += J(x)^\top F(x)`.
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				|  |  | +
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				|  |  |  The general strategy when solving non-linear optimization problems is
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				|  |  |  to solve a sequence of approximations to the original problem
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				|  |  |  [NocedalWright]_. At each iteration, the approximation is solved to
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				|  | @@ -118,7 +123,7 @@ There are a number of different ways of solving this problem, each
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				|  |  |  giving rise to a different concrete trust-region algorithm. Currently
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				|  |  |  Ceres, implements two trust-region algorithms - Levenberg-Marquardt
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				|  |  |  and Dogleg, each of which is augmented with a line search if bounds
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				|  |  | -constrained are present [Kanzow]_. The user can choose between them by
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				|  |  | +constraints are present [Kanzow]_. The user can choose between them by
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				|  |  |  setting :member:`Solver::Options::trust_region_strategy_type`.
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				|  |  |  
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				|  |  |  .. rubric:: Footnotes
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