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We formulate the state equations for tme- and frequency-domain aalysis of switched-capacitor networks (SCN's) using charges associated with topologically identifiable structures in a network as network variables. The method effectively combines variable elimination to reduce matrix sizes with redundancy elimination to reduce memory requirements for many-phases SCN's. The frequency-domain analysis equations are formulated in such a way that computation can be done in a simple iterative manner akin to time-domain analysis but without using discrete Fourier transform. Two speed-up algorithms based on the proposed formulation for input and output sampling are presented.