A variant of Newton's method based on Simpson's three-eighths rule for nonlinear equations

作者：Chen Jen Yuan^*; Kincaid David R; Lin Bei Ru

来源：Applied Mathematics Letters, 2018, 79: 1-5.

DOI：10.1016/j.aml.2017.11.014

• Nonlinear equation
• Newton's method

We propose a new variant of Newton's method based on Simpson's three-eighth rule. It can be shown that the new method is cubically convergent.

• 出版日期2018-5