Real-time computation of singular vectors

摘要

This paper proposes an analog circuit approach for the singular value decomposition (SVD). The proposed analog computational model can be considered a specialized analog computer. The key features of the proposed analog computational model are asynchronous parallel processing, continuous-time dynamics and high-speed computational capability. We show analytically and by simulations that the proposed circuit can provide the desired singular vectors of a given matrix A with an arbitrarily small error during an elapsed time of only a few characteristic time constants of the circuit.