We present the first Doppler images of two M dwarfs in the solar neighbourh
ood. Late-type dwarfs are generally too faint to enable spectra with suffic
ient signal-to-noise (SIN) ratios for Doppler imaging to be obtained in sho
rt enough exposure times. Using the large number of photospheric absorption
lines in each spectrum, we apply least-squares deconvolution to derive com
posite line profiles with S/N ratios of 100-500. The surface images of HK A
qr reveal a moderately spotted surface, with the majority of starspots appe
aring at low latitudes, whereas RE 1816 +541 exhibits spots at all latitude
s. Neither star shows significant evidence for the oft-observed polar spot.
Despite the boost in S/N ratio achieved with the least-squares deconvoluti
on technique, the images are not consistent enough to determine reliably th
e magnitude of differential rotation. Nevertheless, the images are consiste
nt enough to place upper limits on the rate of surface shear.