Sciencemadness Discussion Board

Accurate solver of quartic equations.

woelen - 21-12-2023 at 10:45

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.

akmetal - 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]