Abstract
The Broyden-Fletcher-Goldhaber-Shanno (BFGS) quasi-Newtonian scheme is known as the most efficient scheme for variational calculations of energies. This scheme is actually a member of a one-parameter family of variational methods, known as the Broyden \( \beta\) -family. In some applications to light nuclei using microscopically derived effective Hamiltonians starting from accurate nucleon-nucleon potentials, we actually found other members of the same family which have better performance than the BFGS method. We also extend the Broyden \( \beta\) -family of algorithms to a two-parameter family of rank-three updates which has even better performances.
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Puddu, G. About efficient quasi-Newtonian schemes for variational calculations in nuclear structure. Eur. Phys. J. A 42, 281 (2009). https://doi.org/10.1140/epja/i2009-10866-6
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DOI: https://doi.org/10.1140/epja/i2009-10866-6