Sciencemadness Discussion Board
Not logged in [Login ]
Go To Bottom

Printable Version  
Author: Subject: Accurate solver of quartic equations.
woelen
Super Administrator
*********




Posts: 7977
Registered: 20-8-2005
Location: Netherlands
Member Is Offline

Mood: interested

[*] posted on 21-12-2023 at 10:45
Accurate solver of quartic equations.


I developed a solver for quartic equations (general 4th degree equations with 5 coefficients). I think it is one of the best solvers available worldwide. I did not find any quartic, which made it fail, and it is very fast (the Java implementation takes appr. 400 ns for solving a quartic equation at nearly the maximum accuracy, which is available theoretically).

A description can be found here: https://woelen.homescience.net/science/math/exps/accurate_so...

The website links to software and a paper. I intend to publish the paper in an open source journal. Still looking for a suitable place.




The art of wondering makes life worth living...
Want to wonder? Look at https://woelen.homescience.net
View user's profile Visit user's homepage View All Posts By User
akmetal
Harmless
*




Posts: 42
Registered: 20-11-2023
Member Is Offline


[*] posted on 3-1-2024 at 00:57


Its not clear how Q(phi) is arrived at with the random free variable being introduced in the anti-diagonal. This feels very much like the first term of the Bessel function lol. The gamma function is really specific yet completely arbitrary ....

Quote: Originally posted by woelen  
I developed a solver for quartic equations (general 4th degree equations with 5 coefficients). I think it is one of the best solvers available worldwide. I did not find any quartic, which made it fail, and it is very fast (the Java implementation takes appr. 400 ns for solving a quartic equation at nearly the maximum accuracy, which is available theoretically).

A description can be found here: https://woelen.homescience.net/science/math/exps/accurate_so...

The website links to software and a paper. I intend to publish the paper in an open source journal. Still looking for a suitable place.


[Edited on 3-1-2024 by akmetal]
View user's profile View All Posts By User

  Go To Top