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For cubics and quartics, a Fortran solver was published recently in ACM TOMS:
Flocke, N. (2015). Algorithm 954: An accurate and efficient cubic and quartic equation solver for physical applications. ACM Transactions on Mathematical Software (TOMS), 41(4), 1-24. https://doi.org/10.1145/2699468
For quartics, an even newer solver in C is available:
Orellana, A. G., & Michele, C. D. (2020). Algorithm 1010: Boosting Efficiency in Solving Quartic Equations with No Compromise in Accuracy. ACM Transactions on Mathematical Software (TOMS), 46(2), 1-28. https://doi.org/10.1145/3386241
For cubics and quartics, a Fortran solver was published recently in ACM TOMS:
For quartics, an even newer solver in C is available:
The Zip files don't contain license files, so the ACM Software License Agreement applies.
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