New Word 2007 Document (17)

New Word 2007 Document (17) - than stopping when is...

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Now think about the iteration. Atkinson's algorithm employs the return to Step 1 device to indicate uncounted repetition of Steps 1-4. Matlab provides a more elegant construct for uncounted repetition: the while loop. In Atkinson's Step 2, the algorithm is terminated. Matlab while loops usually terminate at their end, so we continue iterating for as long as is larger than epsilon, rather
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Unformatted text preview: than stopping when is smaller. This reversal of the test is sometimes confusing, but it is how it is done. Here is a Matlab function that carries out the bisection algorithm for our cosmx function. The endpoints of the initial interval are variables that you specify when you invoke the function. The Matlab variables xa , xb and xc represent the mathematical quantities , and ....
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