Matthias Kaiserswerth
IEEE/ACM Transactions on Networking
Since the first papers on asymptotic waveform evaluation (AWE), Padé-based reduced order models have become standard for improving coupled circuit-interconnect simulation efficiency. Such models can be accurately computed using bi-orthogonalization algorithms like Padé via Lanczos (PVL), but the resulting Padé approximates can still be unstable even when generated from stable RLC circuits. For certain classes of RC circuits it has been shown that congruence transforms, like the Arnoldi algorithm, can generate guaranteed stable and passive reduced-order models. In this paper we present a computationally efficient model-order reduction technique, the coordinate-transformed Arnoldi algorithm, and show that this method generates arbitrarily accurate and guaranteed stable reduced-order models for RLC circuits. Examples are presented which demonstrates the enhanced stability and efficiency of the new method. © 1999 Published by Elsevier Science S.A. All rights reserved.
Matthias Kaiserswerth
IEEE/ACM Transactions on Networking
Robert C. Durbeck
IEEE TACON
Anupam Gupta, Viswanath Nagarajan, et al.
Operations Research
Minkyong Kim, Zhen Liu, et al.
INFOCOM 2008