Superlinear bracketing method for solving nonlinear equations

作者：Suhadolnik Alojz^*

来源：Applied Mathematics and Computation, 2013, 219(14): 7369-7376.

DOI：10.1016/j.amc.2012.12.064

• Nonlinear equations
• Muller%26apos
• s method
• Root finding

A new method based on Muller%26apos;s algorithm for solving nonlinear equations has been developed. The classic Muller%26apos;s method is based on an interpolating polynomial built on the last three points of an iterative sequence. Unfortunately, Muller%26apos;s method is not globally convergent. In order to ensure the global convergence a bracketing is introduced. The proposed method does not require the use of a derivative of the function and is more rapidly convergent than a classical regula falsi method. The method is good alternative to other bracketing methods.

• 出版日期2013-3-15