Question: For the function f = x 1 2 + 1 0 x 2 2 , do one iteration of the steepest descent method, starting with

For the function

f = x_{1}^{2} + 10 x_{2}^{2},

do one iteration of the steepest descent method, starting with initial guess

(1, 1) .

Do the same thing for Newton's method

(

applied to the gradient of

f) .

Which method decreased the function more? Show your work. It is OK to do this with Matlab, and include the code and results. Alternatively, you can do it by hand.

For the function f=x12+10x22, do one iteration of the steepest descent

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