Convergence problems in coupled-cluster iterations are discussed, and a new
iteration scheme is proposed. Whereas the Jacobi method inverts only the d
iagonal part of the large matrix of equation coefficients, we invert a matr
ix which also includes a relatively small number of off-diagonal coefficien
ts, selected according to the excitation amplitudes undergoing the largest
change in the coupled-cluster iteration. A test case shows that the new inv
ersion of partial matrix (IPM) method gives much better convergence than th
e straightforward Jacobi-type scheme or such well known convergence aids as
the reduced linear equations or direct inversion in iterative subspace met
hods.