Cross-spectral matrix denoising for beamforming based on Schatten-p norm

•Non-convex RPCA CSM denoising based on the Schatten-p norm is proposed.•The Schatten-p norm is more insensitive to regularization than the nuclear norm.•The non-convex APGL is proposed to solve CSM denoising based on the Schatten-p norm.•The Schatten-p norm has a more accurate restoring ability than the nuclear norm.