arXiv:0805.4446·v1·Nuclear Theory
Broyden's Method in Nuclear Structure Calculations
Andrzej Baran🇺🇸 · Aurel Bulgac🇺🇸 · Michael McNeil Forbes🇺🇸 · Gaute Hagen🇺🇸 · Witold Nazarewicz🇺🇸 · Nicolas Schunck🇺🇸 · Mario V. Stoitsov🇺🇸
Abstract
Broyden's method, widely used in quantum chemistry electronic-structure calculations for the numerical solution of nonlinear equations in many variables, is applied in the context of the nuclear many-body problem. Examples include the unitary gas problem, the nuclear density functional theory with Skyrme functionals, and the nuclear coupled-cluster theory. The stability of the method, its ease of use, and its rapid convergence rates make Broyden's method a tool of choice for large-scale nuclear structure calculations.
Comments: 11 pages, submitted to Phys. Rev. C