Question: Develop an M-file to implement parabolic interpolation to locate a minimum. the function should have the following features: Base it on two initial guesses, and

 Develop an M-file to implement parabolic interpolation to locate a minimum.

Develop an M-file to implement parabolic interpolation to locate a minimum. the function should have the following features: Base it on two initial guesses, and have the program generate the third initial value at the midpoint of the interval. Check whether the guesses bracket a maximum. If not, the function should not implement the algorithm, but should return an error message. Iterate until the relative error falls below a stopping criterion or exceeds a maximum number of iterations. Return both the optimal x and f(x)

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