SUFFICIENT CONDITIONS FOR A GENERALIZED WAVEFORM RELAXATION TO CONVERGE LOCALLY.

Kiichi Urahama

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This paper investigates convergence properties of a circuit simulation technique called Waveform Relaxation (WR). A general formulation of a family of WR algorithms called a generalized WR is introduced. This formulation reduces to some introduced WR algorithms in particular cases. The following two sufficient conditions for the generalized WR method to converge locally are given: i) the capacitance matrix of the circuit is block strictly diagonally dominant and a time-steplength is sufficiently small; ii) the conductance matrix of the circuit has the same property and a time-steplength is sufficiently large.

    Original languageEnglish
    Pages (from-to)106-109
    Number of pages4
    JournalTransactions of the Institute of Electronics, Information and Communication Engineers, Section E (
    VolumeE70
    Issue number2
    Publication statusPublished - Feb 1 1987

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Fingerprint

    Dive into the research topics of 'SUFFICIENT CONDITIONS FOR A GENERALIZED WAVEFORM RELAXATION TO CONVERGE LOCALLY.'. Together they form a unique fingerprint.

    Cite this