This study introduces a novel discrete-time denoising complex neurodynamics model (referred to as the DTDCN model), which focuses on analyzing and discussing the computation of online dynamic complex generalized inverse matrices under various noisy environments. The proposed DTDCN method has inherent denoising capabilities and high accuracy in online computation. Theoretical analysis has established that the DTDCN model possesses the characteristics of 0-stability, consistency, and convergence. Additionally, experimental results have further reinforced the DTDCN model's efficacy and superiorit...