Definition
The above derivation leads to the following method:
- Choose an initial guess
- For k = 0, 1, 2, …
- Calculate
- Calculate
- Calculate, where the sign is chosen to give the denominator with the larger absolute value, to avoid loss of significance as iteration proceeds.
- Set
- Repeat until a is small enough or if the maximum number of iterations has been reached.
Read more about this topic: Laguerre's Method
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