What do you mean by circumvent? When diagonalizing full BSE matrix (not TD) resonant part valence-->conduction transitions and antiresonant conduction-> valence are considered and mixed. It is then correct to have positive and negative eigenvalues in the same number. For absorption spectra only positive eigenvalues are meaningful.Is there any remedy to circumvent negative eigenvalues in BS matrix, except switching back to TD approximation ?
The truncation of empty bands in the evaluation of the Self Energy in the Bruneval-Gonze (GTermKind= "BG") should be there fully working.Is the truncation of empty bands in Yambo still experimental ?
The truncation for the response function is still experimental.
About the diagonalization should be not slower in 4.1, I do not have idea on why this is happening.
Best,
Daniele