Householder's Method (Root Computation with continuous derivatives (up to d) Root Computation)
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Time Complexity
$O(d*n_max)$?
Space Complexity
$O(d)$ words
(Store current estimate x_i and the derivatives f' through f^{(d)} (assuming these take O(1) space each); iterations take O(1) time and thus O(1) space, and space can be re-used across iterations)
Description
Approximate?
Approximate
Approximation Factor: epsilon, additive
Randomized?
No, deterministic
Model of Computation
Word/Real RAM
Year
1940(?)
Reference
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