A Quartically Convergent Jarratt-Type Method for Nonlinear System of Equations

Algorithms

Mohammad Ghorbanzadeh¹  Fazlollah Soleymani² 

[1] Department of Mathematics, Imam Reza International University, Khorasan Razavi, Mashhad, Sanabaad, Daneshgah 91735-553, Iran; E-Mail:;Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran

关键词: iterative methods;    Fréchet;    systems of nonlinear equations;    Chandrashekar integral equations;   

DOI  :  10.3390/a8030415

来源: mdpi

【 摘 要 】

In this work, we propose a new fourth-order Jarratt-type method for solving systems of nonlinear equations. The local convergence order of the method is proven analytically. Finally, we validate our results via some numerical experiments including an application to the Chandrashekar integral equations.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.