Abstract
An efficient algorithm is presented for the reliable computation of frequency response matrices of the form P(j\omegaI-A)^{-1}Q . Efficiency is achieved through an initial reduction of A to upper Hessenberg form H so that ( j\omegaI-H ) remains upper Hessenberg as ω is varied over a desired range. Linear systems with upper Hessenberg coefficient matrices can then be solved easily and accurately.
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