Solution Formulas for Cubic Equations Without or With Constraints

Ting Zhao (1, 2) , Dongming Wang (1) , Hoon Hong (3)

1 SALSA - Solvers for Algebraic Systems and Applications
2 School of Mathematics and Systems Science
3 NCSU - Department of Mathematics [Raleigh]

We present a convention (for square/cubic root) which provides correct interpretations of Lagrange's formula for all cubic polynomial equations with real coefficients. Using this convention, we also present a real solution formulas for the general cubic equation with real coefficients under equality and inequality constraints.

Mots clés: cubic polynomial; solution formula; root convention; constraint

Domaines: Calcul formel [cs.SC]

Ting Zhao, Dongming Wang, Hoon Hong. Solution Formulas for Cubic Equations Without or With Constraints. Journal of Symbolic Computation, 2011, 46 (8), pp.904-918. ⟨10.1016/j.jsc.2011.02.001⟩. ⟨hal-00627327⟩