Structural optimization is performed for LaMnO3 with the first-princip
les pseudopotential method based on the local density approximation (L
DA), the generalized gradient approximation, and the LDA+U approximati
on. The Jahn-Teller distortion is reproduced even by LDA but the magni
tude of the distortion for all three approximations is not quite large
enough compared with the experimental value. The same analysis is per
formed also for the hypothetical ferromagnetic state. The Jahn-Teller
distortion still exists but the magnitude is much reduced. The unit-ce
ll shape becomes nearly cubic. These features are qualitatively consis
tent with the related experimental observations. If the crystal struct
ure is optimized for each magnetic state, the present band calculation
predicts the ferromagnetic state to be lower in energy than the A-typ
e antiferromagnetic state, which is inconsistent with the experimental
observation. The origin of the failure in the prediction of the groun
d state is discussed.