A new deconvolution strategy for aeroacoustic beamforming based on linear programming (LP) is introduced. Results of an aeroacoustic test show that it produces virtually the same results as DAMAS in much less time. DAMAS, DAMAS2 and LP display superresolution, which is expressed in terms of the Sparrow resolution limit from optics. CLEAN-SC and TIDY did not achieve superresolution in the test, but did produce higher dynamic range than DAMAS and LP at high frequency.