MONOTONE CONVERGENCE OF THE SEQUENCE OF ITERATED WAVEFORMS IN THE WAVEFORM RELAXATION METHOD.

Kiichi Urahama

    Research output: Contribution to journalArticlepeer-review

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)407-410
    Number of pages4
    JournalTransactions of the Institute of Electronics, Information and Communication Engineers, Section E (
    VolumeE70
    Issue number4
    Publication statusPublished - Apr 1 1987

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

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