A simple and efficient method to include non-spherical (NS) potential
corrections in the linear muffin tin orbital (LMTO) method is presente
d. The method is a natural generalization of the standard LMTO method.
Special care has been taken to introduce only the most important NS c
orrections to make the present method only 10% slower than the standar
d LMTO-ASA. The method is described and tested for the calculation of
shear moduli in BCC and FCC transition metals. Results are in good agr
eement with so-called full potential calculations.