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gibson:teaching:fall-2013:math445:lab5

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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
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 Use the initial guess $[x,y,z] = [10, 10, 25]$.  Verify your answer by applying it to the 3d function. What do you expect to get? Use the initial guess $[x,y,z] = [10, 10, 25]$.  Verify your answer by applying it to the 3d function. What do you expect to get?
  
-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? 
 + 
 +** ** Method: How does it do this? (How is it related to the Taylor Series? Can you explain the equations used in the code?)
gibson/teaching/fall-2013/math445/lab5.1380300137.txt.gz · Last modified: 2013/09/27 09:42 by szeto