Equations for obtaining the Brueckner orbitals are proposed; it is sho
wn that they can be reduced to the eigenvalue problem of some effectiv
e one-electron operator. The possible ways of solving the suggested eq
uations and the different initial approximations in the iterative proc
edure are discussed. It is established, that the problem of obtaining
the Brueckner orbitals may be reduced to the symmetrization of the tra
nsition density matrix between the initial CI wavefunction and the ref
erence determinant.