Using Newton’s Method, what is the solution of x^2 - 7 = 0 after three iterations, starting with x = 3?
回答 (1)
2015-10-21 1:10 pm
✔ 最佳答案
f(x) = x^2-7f'(x) = 2x
x0 = 3
x1 = x0 - f(x0) / f'(x0) = 3 - (2) / (6) = 2.666666667
x2 = x1 - f(x1) / f'(x1) = 2.66666667 - (0.11111111) / (5.33333333) = 2.645833333
x3 = x2 - f(x2) / f'(x2) = 2.64583333 - (0.00043403) / (5.29166667) = 2.645751312
x = 2.645751312
收錄日期: 2021-05-01 15:24:32
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20151021050651AACdLdd