Least change update methods for nonlinear systems with nondifferentiable terms

Abstract
We extend the local convergence theory of least change secant update methods given by Marténez (Mathematics of Computation 55, 143-167, 1990) to nonlinear systems with nondifferentiable terms as studied by Zabrejko and Nguen (Numerical Functional Analysis and Optimization 9, 671-684, 1987), Chen and Yama-moto in a sequence of recent papers.