Consider the problem minimize 5x2+5y2−xy−11x+11y+11  (a) Find a point satisfying the first-order necessary conditions for a solution. b) Show that this point is a global minimum

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Consider the problem minimize 5x2+5y2−xy−11x+11y+11  (a) Find a point satisfying the first-order necessary conditions for a solution. b) Show that this point is a global minimum. c) What would be the rate of convergence of steepest descent for this problem? d) Starting at x=y=0, how many steepest descent iterations would it take (at most) to reduce the function value to 10−11?

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