A new semilocal convergence theorem of Muller's method

作者：Bi Weihong^*; Ren Hongmin; Wu Qingbiao

来源：Applied Mathematics and Computation, 2008, 199(1): 375-384.

DOI：10.1016/j.amc.2007.09.057

• Muller's method
• nonlinear equation
• semilocal convergence
• gamma-condition
• error estimation

A semilocal convergence theorem of Muller's method is established under the gamma-condition. An error estimation is given which matches the convergence order of the method. Numerical examples are provided to show that our results apply, where earlier ones fail.

• 出版日期2008-5-15
• 单位浙江大学