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Increased levels of integration and increase in operating frequencies have highlighted interconnect effects previously neglected during circuit simulation. Accurate prediction of these effect involve solution of large system of equations, direct simulation of which, is prohibitively expensive. In this paper, we propose an efficient algorithm to form closed-form expressions for the response of interconnect networks as a function of any design parameter in the network. This is achieved by the use of parameterized model reduction techniques in conjunction with a popular rational approximation algorithm, vector-fit. The proposed algorithm was applied to transmission line networks and a significant speed-up was achieved.