gibson:teaching:spring-2018:math445:lab7
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gibson:teaching:spring-2018:math445:lab7 [2018/03/19 14:49] gibson |
gibson:teaching:spring-2018:math445:lab7 [2018/03/29 06:55] (current) gibson |
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| 1. Use a ''for'' loop to perform the Newton-search iteration $x_{n+1} = x_n + \Delta x$. Take up to ten Newton-search iterations. | 1. Use a ''for'' loop to perform the Newton-search iteration $x_{n+1} = x_n + \Delta x$. Take up to ten Newton-search iterations. | ||
| - | 2. Use an ''if'' statement inside the ''for'' loop to test if either $|f(x)| < \epsilon$ or $|\Delta x| < \epsilon$ for some specified tolerance $\epsilon$. | + | 2. Use an ''if'' statement inside the ''for'' loop to test if either $|f(x)| < tol$ or $|\Delta x| < tol$ for some specified tolerance $tol$. |
| - | 3. If either of those conditions is true, use a ''break'' statement to terminate the iteration and return from the function. For our purposes $\epsilon = 10^{-7}$ is a decent choice. | + | 3. If either of those conditions is true, use a ''break'' statement to terminate the iteration and return from the function. For our purposes $tol = 10^{-13}$ is a decent choice. |
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gibson/teaching/spring-2018/math445/lab7.1521496153.txt.gz · Last modified: 2018/03/19 14:49 by gibson
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