Question: 2. Consider the optimization problem minf(x)=x12+2x22+2x1x2+2x2. (a) Solve this problem analytically. (b) Solve this problem using the gradient search method with x0=(0,0). Conduct 3 iterations

 2. Consider the optimization problem minf(x)=x12+2x22+2x1x2+2x2. (a) Solve this problem analytically.

2. Consider the optimization problem minf(x)=x12+2x22+2x1x2+2x2. (a) Solve this problem analytically. (b) Solve this problem using the gradient search method with x0=(0,0). Conduct 3 iterations by hand with the exact line search. Show all steps. Summarize your results in a table similar to the following (c) Estimate the number of iterations need to have optimal objective value within 0.01 accuracy

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