deletions | additions       diff --git a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  index 079ec73..ed69ee1 100644  --- a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  +++ b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex 
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defined by $h(m) = g(f(m))$, with $g(x) = \|x\|_{\ell_1} : \complex^{\nk} \to \reals$   and $f(m) = \Fu m - y : \complex^{\nv} \to \complex^\nk$.  The derivative of $g$ at $x$ is a $1 \times n$ matrix, given by  \begin{equation} \begin{eqnarray}  Dg(x) &=& \left[ \frac{\partial g}{\partial x_1}(x), \dots, \frac{\partial g}{\partial x_{\nk}}(x) \right] \nonumber\\  \end{equation} \end{eqnarray}  It follows that