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Unformatted text preview: 3 . How many iterations were needed? (provide the MATLAB code) 8. Use the theoretical result given in class (  pp n  k n ( ba )) to estimate the number of iterations required to achieve 103 accuracy. Why is this number dierent than the one obtained in 7. ? Let f ( x ) = ex 1. Sketch the graph of f ( x ). 2. Find f ([ 1 3 , 1]) 3. Is it true that f ([ 1 3 , 1]) [ 1 3 , 1]? What can you conclude about the existence of a xed point? 4. Find max x [ 1 3 , 1]  f ( x )  . 5. Find a number k (0 , 1) such that  f ( x )  k for all x 1 3 , 1 6. What can you conclude about using a xed point iteration. 7. Find the xed point with accuracy 103 . How many iterations were needed? (provide the MATLAB code) 8. Use the theoretical result given in class (  pp n  k n ( ba )) to estimate the number of iterations required to achieve 103 accuracy. 1...
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This note was uploaded on 10/28/2010 for the course MATH 135A taught by Professor Thomas during the Spring '10 term at UC Riverside.
 Spring '10
 THOMAS

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