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gibson:teaching:fall-2013:math445:lab5 [2013/09/27 09:42] szeto |
gibson:teaching:fall-2013:math445:lab5 [2013/10/03 05:42] (current) gibson |
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initial guess for the search. | initial guess for the search. | ||
- | **Problem 3:** Write a ''newtonsearchNd'' function that finds a zero of | + | **Bonus (10 pts):** Write a ''newtonsearchNd'' function that finds a zero of |
an N-dimensional function ''f'' starting from the initial guess ''x''. | an N-dimensional function ''f'' starting from the initial guess ''x''. | ||
Use this to find a zero of the nonlinear 3d function | Use this to find a zero of the nonlinear 3d function | ||
Line 50: | Line 50: | ||
** Bonus (10 points): ** | ** Bonus (10 points): ** | ||
Give a brief explanation for the Newton's Search. Include the answers to the following questions. | Give a brief explanation for the Newton's Search. Include the answers to the following questions. | ||
- | - Purpose: What is the Newton's method used for? | + | |
- | - Method: How does it do this? (How is it related to the Taylor Series? Can you explain the equations used in the code?) | + | ** - ** Purpose: What is the Newton's method used for? |
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+ | ** - ** Method: How does it do this? (How is it related to the Taylor Series? Can you explain the equations used in the code?) |