(Solved) : Numerically Find Minimum Optimal Feasible Design Vector X Following Problems Using Gradien Q27740302 . . . .

Numerically find the minimum optimal feasible design (vector x)for each of the following problems using any gradient based searchtechnique. for each run record the starting point and iterationhistory (plot a graph with objective function on y axis anditeration number on x axis), record also the final point at whichthe iteration terminated and whether or not the final solution isfeasible. Do ten runs for each problem. Discuss your result.

1)The banana function: In this problem there are two designvariables with lower and upper limits of [-5,5] the function has aglobal minimum at [1,1] with an optimal function value of zero.

Minimize f(x) =100(x2-x1^2)^2