https://doi.org/10.1140/epja/i2009-10866-6
Regular Article - Theoretical Physics
About efficient quasi-Newtonian schemes for variational calculations in nuclear structure
Dipartimento di Fisica, dell’Università di Milano, Via Celoria 16, I-20133, Milano, Italy
* e-mail: giovanni.puddu@mi.infn.it
Received:
10
June
2009
Revised:
27
July
2009
Accepted:
29
August
2009
Published online:
2
October
2009
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 
-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 -family of algorithms to a two-parameter family of rank-three updates which has even better performances.
PACS: 21.60.Cs Shell model – / 21.60.Jz Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations) – / 31.15.xt Variational techniques –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
