HW6 - (c) [1pt] Determine whether the optimum found in (b)...

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EMAE 250.100: Homework 6 February 17, 2011 1. Consider the following function: f ( x,y ) = - ( x - 1) 2 - ( y - 2) 2 + xy (a) [2pt] Find the gradient vector and the Hessian matrix. (b) [2pt] Perform one iteration of the Newton’s method with the initial point ~x 0 = ( x 0 ,y 0 ) T = (0 , 0) T ;check the function values and the gradient vector at ~x 0 and ~x 1 and discuss the results.
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Unformatted text preview: (c) [1pt] Determine whether the optimum found in (b) is the maximum or the minimum. 2. [5pts] Fit the data set given in Table 1 to the following function, f ( x,y ) = a + a 1 x 2 + a 2 sin( y ). Find a and a 1 . Table 1: x y f ( x,y ) 1.8 1 0.5 2.3 2 1 0.5 3 1.5-4 4 2-11 1...
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