Question: Problem 6: Use the steepest decent method to solve the following problem. a. Carry out two iterations with a handheld calculator (optional, 0 point) b.

Problem 6: Use the steepest decent method toProblem 6: Use the steepest decent method to
Problem 6: Use the steepest decent method to solve the following problem. a. Carry out two iterations with a handheld calculator (optional, 0 point) b. Have more iterations until the process converges with a handheld calculator or MATLAB (optional, 0 point) f(x)=x7+4x2-4x1 -4x2+6 X1 I = Follow these steps Step 1: Set iteration number * = 1, and make an initial guess x )= 1,1, and a tolerance = = 0.0001 Step 2: Calculate the search direction d = -Vf(x) at x"-)) from the previous iteration or initial guess Step 3: Calculate a new x value x )=x) + Ad Step 4: Calculate f(x()) = f(x(*->) + Ad) = p(1) Step 5: Find the extremum of @(1) using 1-D derivative method, or using Line Search to find / Step 6: Calculate x() = 14-0) + Ad, f(x() ) and Vf(x() ) Step 7: Check the solution status : if Vf(x()

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