New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations

• Main Authors: Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Ismail, Fudziah
• Format: Article
• Language: English
• Published: Akademi Sains Malaysia 2019
• Online Access: http://psasir.upm.edu.my/id/eprint/81469/1/New%20highly%20accurate%20iterative%20method%20of%20third%20order%20convergence%20for%20finding%20the%20multiple%20roots%20of%20nonlinear%20equations.pdf; http://psasir.upm.edu.my/id/eprint/81469/; https://www.akademisains.gov.my/asmsj/article/new-highly-accurate-iterative-method-of-third-order-convergence-for-finding-the-multiple-roots-of-non-linear-equations/
• Institution: Universiti Putra Malaysia

We present a new third order convergence iterative method for m multiple roots of nonlinear equation. The proposed method requires one evaluation of function and two evaluations of the first derivative of function. In numerical tests exhibit that the present method provides provides high accuracy n...