## Question

###### 3. Let f(z.y) = IOO(y 2)2+(1-1)2 This is the famed banana funetion (see wikipedia) . The minimum of f is (1,1) (why?) Starting at the point (4,4) use a fixed step size to locate the minimum Here; since we are minimizing; YOur direction should be d) CV f(6)) How many iterations before YOu find the minimm? Starting at the point (4, 4) use steepest descent with back- tracking to find" the minimum;_ How many iterations be- fore YOu find the mininum? Use the R function nlm to find the minimm sta

3. Let f(z.y) = IOO(y 2)2+(1-1)2 This is the famed banana funetion (see wikipedia) . The minimum of f is (1,1) (why?) Starting at the point (4,4) use a fixed step size to locate the minimum Here; since we are minimizing; YOur direction should be d) CV f(6)) How many iterations before YOu find the minimm? Starting at the point (4, 4) use steepest descent with back- tracking to find" the minimum;_ How many iterations be- fore YOu find the mininum? Use the R function nlm to find the minimm starting at (4,4). How many iterations? Compare t0 (a) and (6).

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