Unformatted text preview: minimum. 3. Consider the following function: f ( x,y,z ) = ln( x 2 + 3 xy + 2 y 2 + 4 z 2 ) Note: ‘ ln ’ is the natural logarithm and the derivative is computed by d dx (ln f ( x )) = d dx ( f ( x )) f ( x ) . (a) [0.5pt]Find the gradient vector. (b) [2pt]Perform one iteration of the gradient method with the initial point ~x = ( x ,y ,z ) T = (1 , 1 , 1) T ; check the function values and the gradient vector at ~x and ~x 1 and discuss the results. 1...
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 Spring '11
 LEE
 Derivative, Optimization, 1pt, following function, 0.5pt, gradient vector

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