New third-order Newton-like method with lower iteration number and lower TNFE

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• 作者：Pantelimon George Popescu ; Radu Poenaru ; Florin Pop
• 关键词：Nonlinear equations ; Iterative methods ; Order of convergence ; Newton method ; MAPLE
• 刊名：Soft Computing
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：21
• 期：2
• 页码：459-466
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Computational Intelligence; Artificial Intelligence (incl. Robotics); Mathematical Logic and Foundations; Control, Robotics, Mechatronics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1433-7479
• 卷排序：21

文摘

This paper presents a new iterative Newton-like method for solving nonlinear equations which is firstly compared with very recent results and we show that it reaches the solution in a lower number of iterations and with a lower total number of function evaluations, considering a variable length of the floating point arithmetic with multi-precision. Then, considering a fix length of the floating point arithmetic with multi-precision, we have compared it with other methods and we have obtained similar results.