A geometric construction of iterative formulas of order three

作者：Chun Changbum^*

来源：Applied Mathematics Letters, 2010, 23(5): 512-516.

DOI：10.1016/j.aml.2010.01.001

• Newton's method
• Iterative methods
• Iteration function
• Nonlinear equations
• Order of convergence
• Tangent line
• Auxiliary curve

In this paper, we consider a geometric construction for improving the order of convergence of iterative formulas of order two. Using this approach, new third-order modifications of Newton's method are derived. A comparison with other existing methods is given.

• 出版日期2010-5