Solution Formulas for Cubic Equations Without or With Constraints

Ting Zhao 1, 2, * Dongming Wang 1 Hoon Hong 3
* Corresponding author
1 SALSA - Solvers for Algebraic Systems and Applications
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-00627327
Contributor : Ting Zhao <>
Submitted on : Wednesday, September 28, 2011 - 3:05:10 PM
Last modification on : Friday, May 24, 2019 - 5:30:28 PM
Long-term archiving on : Thursday, December 29, 2011 - 2:25:59 AM

File

SFCEC.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

408

Files downloads

1918