A new variant of the band symmetric Lanczos process will be present in this talk. The motivation and application of this work stem from emerging model-order reduction techniques based on Lanczos process in large scale circuit simulation. Although the new band Lanczos process requires slight more arithmetic and storages, it makes theoretically proven passive reduced-order models passive in practice.
Numerical examples demonstrate that it is far more robust and accurate than the previous ones.
This is a joint work with Roland Freund at Bell Labs, Lucent Technologies.