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newton's method
[newton's method|newton's method] [newton's method] continues by iteratively refining approximations, using the formula to find successive values that converge toward the root.
Mechanism
newton's method [newton's method] continues by iteratively refining approximations, using the formula to find successive values that converge toward the root.
Effects
newton's method [newton's method] produces a sequence of numbers that converges to a finite value, as demonstrated in Example 4.49 where a function F and an initial guess xq generate such a resulting list.
Examples
newton's method In cases such as these, Newton's method is used to approximate roots.