On a comparison between Lanczos and Householder methods

It is shown that the Householder method can be considered as a Lanczos method, with the same properties for the convergence of the eigenvalues. An application to a proton two-particle-neutron two-hole shell-model calculation in 132Te is carried out. Moreover, in the specific case of the Jpi =2+ level, the convergence properties for both methods are studied in detail.