A numerical study of limited memory BFGS methods

@article{Morales2002ANS,
  title={A numerical study of limited memory BFGS methods},
  author={Jos{\'e} Luis Morales},
  journal={Appl. Math. Lett.},
  year={2002},
  volume={15},
  pages={481-487}
}
The application of quasi-Newton methods is widespread in numerical optimization. Independently of the application, the techniques used to update the BFGS matrices seem to play an important role in the performance of the overall method. In this paper we address precisely this issue. We compare two implementations of the limited memory BFGS method for large-scale unconstrained problems. They diier in the updating technique and the choice of initial matrix. L-BFGS performs continuous updating… CONTINUE READING

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