Answer Happy

computational engineering / numerical analysis
Root optimisation minimisation
1. We require to find the values of (x,y), which minimise the following function. f(x,y) = 1.2.2² +2.5y? – 4.52y +3.2.1 – 12y +25 (a) Describe briefly the method of gradient descent for minimising functions. [5 marks) (b) Assuming that the current estimate of the solution is In Yn, the following update equations are used to minimise f(x,y) wrt 1, y. In+1 = In-hof ac af Yn+1 = yn -he ay Calculate an optimal value for h if the current estimate is (20,40) = (0,0)