Abstract:This paper pro posed the convergence theorem of Newtons method when the derivative satisfies the center Lipschitz condition with the L average, and applied it in solving the integral equation.
郭学萍. Banach空间中Newton法的收敛性[J]. 浙江大学学报(理学版), 2000, 27(5): 484-492.
GUO Xue-ping. On the convergence of Newton's method in Banach space.. Journal of ZheJIang University(Science Edition), 2000, 27(5): 484-492.