Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations

@article{Chen2000SmoothingMA,
  title={Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations},
  author={Xiaojun Chen and Zuhair Nashed and Liqun Qi},
  journal={SIAM J. Numerical Analysis},
  year={2000},
  volume={38},
  pages={1200-1216}
}
We consider superlinearly convergent analogues of Newton methods for nondifferentiable operator equations in function spaces. The superlinear convergence analysis of semismooth methods for nondifferentiable equations described by a locally Lipschitzian operator in Rn is based on Rademacher’s theorem which does not hold in function spaces. We introduce a… CONTINUE READING