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 language | English |
|---|---|
| Pages (from-to) | 407-410 |
| Number of pages | 4 |
| Journal | Transactions of the Institute of Electronics, Information and Communication Engineers, Section E ( |
| Volume | E70 |
| Issue number | 4 |
| Publication status | Published - Apr 1987 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Engineering(all)