A Matlab Algorithm for the Resolution of Fourth Degree Equations

  • Alessia Donato Department of Economics, University of Messina

Abstract

In this article,  we propose  an algorithm for the resolution of fourth degree equations,  explicitly showing the solution method used, and we compare the results ob- tained with the Matlab “root” command.

References

Quartic function. From Wikipedia at https://en.wikipedia.org/wiki/Quartic_function

Agreste, S., D. Carfì, and A. Ricciardello (2012). An algorithm for payoff space in C1 parametric games. Applied Sciences 14, 1-14. http://www.mathem.pub.ro/apps/v14/A14-ag.pdf

Carfì, D., A. Donato, and G. Gambarelli (2017). Kalai-Smorodinsky Balance for N-tuples of Interfering Elements. In Nguyen (Ed.), Transactionson Computational Collective Intelligence XXVII, Volume 10480 of Lecture Notes on Computational Science, pp.1-27. Springer International Publishing AG. https://doi.org/10.1007/978-3-319-70647-4_1

Carfì, D. and F. Musolino (2012). Game theory and speculation on government bonds. Economic Modelling 29 (6), 2417-2426. https://dx.doi.org/10.1016/j.econmod.2012.06.037

Carfì, D. and F. Musolino (2014). Speculative and hedging interaction model in oil and U.S. dollar markets with financial transaction taxes. Economic Modelling 37 (0), 306-319. https://dx.doi.org/10.1016/j.econmod.2013.11.003


Carfì, D. and E. Perrone (2011). Game Complete Analysis of Bertrand Duopoly. Theoretical and Practical Research in Economic Fields 2 (1(3)), 5-22. http://www.asers.eu/journals/tpref/tpref-past-issues.html

Carfì, D. and E. Perrone (2013). Asymmetric Cournot Duopoly: A Game Complete Analysis. Journal of Reviews on Global Economics 2, 194-202. https://dx.doi.org/10.6000/1929-7092.2013.02.16

Carfì, D. and A. Ricciardello (2010). An algorithm for payoff space in C1- Games. AAPP |Physical, Mathematical, and Natural Sciences 88 (1), 1-19. https://dx.doi.org/10.1478/C1A1001003

Carfì, D. and A. Ricciardello (2012). Algorithms for Payoff Trajectories in C1 Parametric Games. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R.R. Yager (Eds.), Advances in Computational Intelligence (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp.642-654. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_67

Carfì, D. and A. Ricciardello (2013). An Algorithm for Dynamical Games with Fractal-Like Trajectories. In D. Carfì, M. Lapidus, E. Pearse, and M. Van Frankenhuijsen (Eds.), Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics. (PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, Messina, Italy, November 8-12, 2011- AMS Special Session on Fractal Geometry in Pure and Applied Mathematics.Volume 601of Contemporary Mathematics, pp.95-112. American Mathematical Society. https://dx.doi.org/10.1090/conm/601/11961

Carfì, D. and D. Schilirò (2012). A coopetitive model for the green economy. Economic Modelling 29 (4), 1215-1219. https://dx.doi.org/10.1016/j.econmod.2012.04.005


Donato, A. (2017). A multilinear interaction model: algorithms for Kalai-Smorodinsky solution. Journal of Mathematical Economics and Finance 3 (1(4)), 47-74. http://journals.aserspublishing.eu/jmef/article/view/1355

Franci, R. and L. Toti Rigatelli (1979). Storia della teoria delle equazioni algebriche. Mursia editore.

Marini, A., N. Barcellona, and M. Tinelli (1987). Scienza e Tecnologia. Dizionario enciclopedico di Matematica. Gruppo editoriale Jackson.

Weisstein, E. W. Quartic equation. From MathWorld - A Wolfram Web Resource http://mathworld.wolfram.com/QuarticEquation.html
Published
2018-02-06
How to Cite
DONATO, Alessia. A Matlab Algorithm for the Resolution of Fourth Degree Equations. Journal of Mathematical Economics and Finance, [S.l.], v. 3, n. 2(5), p. 7-18, feb. 2018. ISSN 2458-0813. Available at: <https://journals.aserspublishing.eu/jmef/article/view/1725>. Date accessed: 30 oct. 2024. doi: https://doi.org/10.14505/jmef.v3.2(5).01.