Q2) Solve the following problem by writing a MATLAB program to implement the BFGS method using...

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Q2) Solve the following problem by writing a MATLAB program to implement the BFGS method using the interval halving method of one-dimensional minimization. Use a finite-difference scheme to evaluate the gradient of the objective function. min f(x) where f(x) = [10(x₂ - x²)]² + (1 − x₁)² +90(x4 − x²)² + (1 − x3)² + 10(x₂ + x4 −2)² + 0.1(x₂ X = x2 X3 LX4. X4) Q2) Solve the following problem by writing a MATLAB program to implement the BFGS method using the interval halving method of one-dimensional minimization. Use a finite-difference scheme to evaluate the gradient of the objective function. min f(x) where f(x) = [10(x₂ - x²)]² + (1 − x₁)² +90(x4 − x²)² + (1 − x3)² + 10(x₂ + x4 −2)² + 0.1(x₂ X = x2 X3 LX4. X4)