Logo by stardust4ever - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Did you know ? you can use LaTex inside Postings on fractalforums.com!
 
*
Welcome, Guest. Please login or register. March 28, 2024, 08:05:35 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Cubic/Quartic Irrational Halley Formula  (Read 1749 times)
0 Members and 1 Guest are viewing this topic.
Timeroot
Fractal Fertilizer
*****
Posts: 362


The pwnge.


WWW
« on: January 09, 2010, 09:29:12 AM »

Hi, I was just thinking about using a parabola-type version of the Newton iteration when I read about the Irrational Halley formula. Does anyone know some code for it? I can't seem to find any or right any functional code myself...  cry

Anyway, I was thinking about doing something even further with a cubic or quartic polynomial (quintic don't have a closed form solution) fit to the given function. That is, to solve for example Y=i*X^7-(2+i)*X^3-6*X^2-i , we'd fit a quartic polynomial to any point z, with the height and the first four derivatives equal, and then use the "quartic" formula to find the roots of this polynomial. I'm hopeful this could produce some interesting results - probably somewhat like the Newton fractal. Help is appreciated!
Logged

Someday, man will understand primary theory; how every aspect of our universe has come about. Then we will describe all of physics, build a complete understanding of genetic engineering, catalog all planets, and find intelligent life. And then we'll just puzzle over fractals for eternity.
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Voodoo Hex - Cubic Buffalo Fractal HD Movies Showcase (Rate My Movie) stardust4ever 4 1834 Last post March 20, 2012, 03:05:25 AM
by stardust4ever
The cubic mausoleum. Images Showcase (Rate My Fractal) domidup 0 819 Last post May 19, 2012, 01:51:48 PM
by domidup
two more irrational fractal number lines Images Showcase (Rate My Fractal) Eric B 0 1068 Last post October 21, 2012, 03:43:44 PM
by Eric B
irrational numbers as game dungeons Mathematics hgjf2 7 5820 Last post February 14, 2013, 08:35:18 PM
by hgjf2
Quartic Byways No. 6 Images Showcase (Rate My Fractal) element90 1 457 Last post April 15, 2014, 06:56:55 PM
by youhn

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.194 seconds with 24 queries. (Pretty URLs adds 0.015s, 2q)