Householder's Method (Root Computation with continuous derivatives (up to d) Root Computation)

From Algorithm Wiki
Revision as of 12:18, 15 February 2023 by Admin (talk | contribs) (Created page with "== 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(?...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

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

-

Retrieved from "https://algorithm-wiki.csail.mit.edu/w/index.php?title=Householder%27s_Method_(Root_Computation_with_continuous_derivatives_(up_to_d)_Root_Computation)&oldid=45656"