inexact/perturbed iterations

Abstract The inexact secant method $[x_{k-1},x_{k};F]s_{k}=-F(x_k) +r_k$, $x_{k+1}=x_k+s_k$, $k=1,2,\ldots$, $x_0,x_1 \in {\mathbb R}^n$ is considered for solving the nonlinear…