Solving equations using Newton's method under weak conditions on Banach spaces with a convergence structure

Journal of Numerical Analysis and Approximation Theory

Ioannis K. Argyros¹ 

[1] Cameron University;

关键词: Newton's method;    Banach spaces with a convergence structure;    semilocal convergence;    Fréchet-derivative;    majorant principle;    fixed point;   

DOI  :  

来源: DOAJ

【 摘 要 】

We provide new semilocal results for Newton's method on Banach spaces with a convergence structure. Using more precise majorizing sequence we show that, under weaker convergence conditions than before, we can obtain finer error bounds on the distances involved and a more precise information on the location of the solution.

【 授权许可】

Unknown