2. Write an algorithm which uses projected quasi-Newton directions to mini- mize F(x) subject to lincar constraints Ax+h=0.
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A: Explanation of the answer is as follows
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A: Explanation of the answer is as follows
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- Suppose we seek to minimizef(x)= 1/2 (x^T)Hx+ (c^T)x + 13 where H = 10 −9 −9 10 and c = 4 −15 Implement the steepest descent algorithm on this problem, using the starting point x0 = (11,0 )^T.Could you derive the equation from this for βi that is used by the Newton algorithm?Find the minimum of the following function using the Nelder-Mead method with initial working simplex of (-2,-2), (0,0) and (0.2,0.2). Perform three (3) iterations only. Round off to four (4) decimal places.