Developing a new family of Newton–Secant method with memory based on a weight function

• Main Authors: Nik Long, Nik Mohd Asri, Salimi, Mehdi, Sharifi, Somayeh, Ferrara, Massimiliano
• Format: Article
• Language: English
• Published: Springer 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/61438/1/Developing%20a%20new%20family%20of%20Newton%E2%80%93Secant%20method%20with%20memory%20based%20on%20a%20weight%20function.pdf; http://psasir.upm.edu.my/id/eprint/61438/; https://link.springer.com/article/10.1007/s40324-016-0097-6
• Institution: Universiti Putra Malaysia

In this paper, we construct an iterative method with memory based on the Newton–Secants method to solve nonlinear equations. This proposed method has fourth order convergence and costs only three functions evaluation per iteration and without any evaluation of the derivative function. Acceleration o...