Zukowski's theorem on a monotone convergence of Waveform Relaxation (WR) is generalized. The sequence of iterated waveforms in the WR method is proven to converge monotonically for a system where the time derivative of variables reduces to a quasi-monotone increasing function by a linear transformation of the variables. This result is applied to a class of MOS digital circuits, and a sufficient condition on the topology of the circuit and input waveforms is derived such that the sequence of iterated waveforms in the WR method applied to the circuit converges monotonically.
|ジャーナル||Transactions of the Institute of Electronics, Information and Communication Engineers, Section E (|
|出版ステータス||出版済み - 4月 1 1987|
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