Coordinate-transformed Arnoldi algorithm for generating guaranteed stable reduced-order models of RLC circuits

L. Miguel Silveira, Mattan Kamon, Ibrahim Elfadel, Jacob White

Research output: Contribution to journalConference articlepeer-review

147 Scopus citations


Since the first papers on asymptotic waveform evaluation (AWE), Pade-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 Pade via Lanczos (PVL), but the resulting Pade 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.

Original languageBritish English
Pages (from-to)288-294
Number of pages7
JournalIEEE/ACM International Conference on Computer-Aided Design, Digest of Technical Papers
StatePublished - 1996
EventProceedings of the 1996 IEEE/ACM International Conference on Computer-Aided Design - San Jose, CA, USA
Duration: 10 Nov 199614 Nov 1996


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