Basic optimization algorithms (30 points). (a) (10 points) Please give one example of the first-order method, and one example of the accelerated first-order method, and one example of the second-order method, for solving an optimization problem. Please describe each algorithm you provided as an example. (b) (10 points) Please list three stopping criteria. When the objective function f is strongly convex with constant m, if the stopping criterion is f(x)22