After what seems like forever, I finally got mathTeX up and running. Major props to Vexxhost, my hosting provider, for having exceptional customer service and providing LaTeX on shared hosting.
We settled on the topic of solving the nonlinear resource allocation problem which can be formally stated as
$$!\begin{array}{cll}
\min &{\displaystyle \sum_{i=1}^n f_i(\xi_{i})} &\\[0.5em]
{\rm s.t.} &{\displaystyle \sum_{i=1}^n g_i(\xi_i) \leq c}, & c \in \mathbb{R} \\[0.5em]
& \ell_{i} \leq \xi_{i} \leq u_{i}, & i = 1,2 ,\ldots, n
\end{array}$$
We will be applying several methods to solve this problem efficiently including interior point methods and a pegging algorithm.