2013/07/30 by J. P. Jaiswal, Jaiswal, J. P.
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1307.7915
openalex publication_date 2013/07/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The object of the present work is to present the new classes of third-order and fourth-order iterative methods for solving nonlinear equations. Our third-order method includes methods of Weerakoon \citeWeerakoon, Homeier \citeHomeier2, Chun \citeChun e.t.c. as particular cases. After that we make this third-order method to fourth-order (optimal) by using a single weight function rather than using two different weight functions in \citeSoleymani. Finally some examples are given to illustrate the performance of the our method by comparing with new existing third and fourth-order methods.