Global convergence of nonmonotone strategies in parallel methods for block-bordered nonlinear systems

@article{Zanghirati2000GlobalCO,
  title={Global convergence of nonmonotone strategies in parallel methods for block-bordered nonlinear systems},
  author={Gaetano Zanghirati},
  journal={Applied Mathematics and Computation},
  year={2000},
  volume={107},
  pages={137-168}
}
In this paper we present a new method for solving block-bordered nonlinear systems of equations. This method is based on the modi®ed Feng±Schnabel algorithm of G. Zanghirati (Global convergence extension of Feng±Schnabel algorithm for block bordered nonlinear systems, Technical report No. 252, Mathematics Department, University of Ferrara, 1997) for the selection of the search direction. The resulting technique is a nonmonotone strategy that we prove to be globally convergent. Furthermore, the… CONTINUE READING