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.

About efficient quasi-newtonian schemes for variational calculations in nuclear structure / G. Puddu. - In: THE EUROPEAN PHYSICAL JOURNAL. A, HADRONS AND NUCLEI. - ISSN 1434-6001. - 42:2(2009 Oct), pp. 281-285.

About efficient quasi-newtonian schemes for variational calculations in nuclear structure

G. Puddu
Primo
2009

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.
Shell model ; nuclear density functional theory and extensions (includes Hartree-Fock and random-phase approximation) ; variational techniques
Settore FIS/04 - Fisica Nucleare e Subnucleare
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/69825
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