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)

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