title: Algorithm for multidimensional optimization / root-finding / something
body: <p>I have five values, A, B, C, D and E. </p>
  
  <p>Given the constraint A + B + C + D + E = 1, and five functions F(A), F(B), F(C), F(D), F(E), I need to solve for A through E such that F(A) = F(B) = F(C) = F(D) = F(E).</p>
  
  <p>What's the best algorithm/approach to use for this? I don't care if I have to write it myself, I would just like to know where to look.</p>
  
  <p>EDIT: These are nonlinear functions. Beyond that, they can't be characterized. Some of them may eventually be interpolated from a table of data.</p>