by Guest » Sat Jul 25, 2020 4:59 pm
FYI: Newton's Method may not work, but it is worth a try. We must beware of the global minimum, 0, versus many local minima in the open interval, (0, 1), oscillations, and the failure analysis associated with Newton's Method.
However, Newton's Method could be a valuable complementary tool for other tools (continued fraction factorization algorithm, general number field sieve algorithm, etc.) in regards to solving our problem.
Relevant Reference Link:
'
Failure Analysis associated with Newton's Method',
https://en.wikipedia.org/wiki/Newton%27s_method#Failure_analysis.
Dave.
FYI: Newton's Method may not work, but it is worth a try. We must beware of the global minimum, 0, versus many local minima in the open interval, (0, 1), oscillations, and the failure analysis associated with Newton's Method.
However, Newton's Method could be a valuable complementary tool for other tools (continued fraction factorization algorithm, general number field sieve algorithm, etc.) in regards to solving our problem.
Relevant Reference Link:
'[b]Failure Analysis associated with Newton's Method[/b]',
[url]https://en.wikipedia.org/wiki/Newton%27s_method#Failure_analysis[/url].
Dave.