double[] x = new double[] { 0, 0, 0, 0, 0 };

double[] bndl = new double[5];
double[] bndu = new double[5];

//omitted: a for loop that populates bndl with zeros and bndu with maximums according to my problem -- all positive numbers

double epsg = 0.0000000001;
epsg = 0;
double epsf = 0;
double epsx = 0;
int maxits = 10;
alglib.minasastate state;
alglib.minasareport rep;

alglib.minasacreate(x, bndl, bndu, out state);
alglib.minasasetcond(state, epsg, epsf, epsx, maxits);
alglib.minasaoptimize(state, function_name, null, null);
alglib.minasaresults(state, out x, out rep);