Out of curiosity a test program is created to iterate the initial parameters for the Nelder-Mead program in TI Nspire to see if there is any effects or patterns to the outcome of the algorithm. The Nelder-Mead program is to solve the following inequalities:
The test case will iterate test variables x and y from 1 to 10, resulting in 100 tests. Absolute error value of the Nelder-Mead program result to the known optimal value (33) is plotted in the below chart.
gmgolem 