woelen
Super Administrator
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Posts: 7990
Registered: 20-8-2005
Location: Netherlands
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Mood: interested
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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.
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akmetal
Harmless
Posts: 42
Registered: 20-11-2023
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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 ![](images/xpblue/lastpost.gif) | 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.
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[Edited on 3-1-2024 by akmetal]
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