hw5_solS09 - EE 103 Spring'09 Prof SEJ HW 5 Sol Applied...

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EE 103, Spring ’09, Prof SEJ: HW 5 Sol. Page 1 of 9 Applied Numerical Computing Instructor: Prof. S. E. Jacobsen HW 5 Solution Students: Distributed HW solutions are a component of the course and should be fully understood. Prob 1: (a) 1 2 ( ) (2 ,4 ) f x x x . Therefore, at 0 0 (0.5,0.5) , ( 1, 2) T T x d   (there is no need to normalize, since that merely changes the value of , the stepsize. The line-search problem is 2 2 min ( ) min(0.5 ) 2(0.5 2 ) g We then have 1 5 18 1 '( ) 2(0.5 ) 8(0.5 2 ) 0 5 /18 0.5 1 0.22222 0.5 2 0.05555 ( ) 0.05555 g x f x   The First Two Directions, Using Steepest Descent
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