ScaleAndFold Subroutine

public subroutine ScaleAndFold(H, ISQ, trace, K, homo, lumo, energy_value_out, solver_parameters_in)

Compute the density matrix from a Hamiltonian using the Scale and Fold method. Based on the method of \cite rubensson2011nonmonotonic . Note that for this method, you must provide the value of the homo and lumo gap. It is not necessary for these to be accurate, but give a conservative value.

Arguments

Type IntentOptional Attributes Name
type(Matrix_ps), intent(in) :: H

The matrix to compute the corresponding density from

type(Matrix_ps), intent(in) :: ISQ

The inverse square root of the overlap matrix.

real(kind=NTREAL), intent(in) :: trace

The trace of the density matrix (usually the number of electrons)

type(Matrix_ps), intent(inout) :: K

The density matrix computed by this routine.

real(kind=NTREAL), intent(in) :: homo

A conservative estimate of the highest occupied eigenvalue.

real(kind=NTREAL), intent(in) :: lumo

A conservative estimate of the lowest unoccupied eigenvalue.

real(kind=NTREAL), intent(out), optional :: energy_value_out

The energy of the system (optional).

type(SolverParameters_t), intent(in), optional :: solver_parameters_in

Parameters for the solver (optional).


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