The convergence theorem for fourth-order super-Halley method in weaker conditions

Journal of inequalities and applications

Lin Zheng¹ 

关键词: nonlinear equations in Banach spaces;    super-Halley method;    semilocal convergence;    Newton-Kantorovich theorem;    weaker conditions;    65J15;    65H10;    65G99;    47J25;    49M15;   

DOI  :  10.1186/s13660-016-1227-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations. Finally, some examples are provided to show the application of our theorem.

【 授权许可】

CC BY