Diffeomorphisms and newton-direction algorithms

@article{Sandberg1980DiffeomorphismsAN,
  title={Diffeomorphisms and newton-direction algorithms},
  author={Irwin W. Sandberg},
  journal={The Bell System Technical Journal},
  year={1980},
  volume={59},
  pages={1721-1733}
}
This paper shows that an iterative process, with certain desirable convergence properties, can be used to compute the solution of an important general equation when certain conditions are met. More specifically, let f be a function from U into B, where B is a Banach space and U is a nonempty open subset of B. One main result reported on is a proof of the… CONTINUE READING