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Asia and South Pacific Design Automation Conference 1999 (ASP-DAC'99)   p. 89
Enhancing the Efficiency of Reduction of Large RC networks By Pole Analysis via Congruence Transformations

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ASPDAC.1999.759718
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Abstract
Among the RC reduction algorithms, the algorithm of PACT (Pole Analysis via Congruence Transformations) [41 has been proved to have several advantages. However, the original implementation of the algorithm destroys the sparsity of the internal capacitance matrix. Consequently, the LASO process [4], used in the computation of the dominant eigenvalues and eigenvectors, becomes very time-consuming. Therefore, the efficiency of the algorithm needs to be improved.
In this paper, a new method to implement the PACT algorithm is presented. In order to maintain the sparsity of the matrices, we use a special Lanczos algorithm to directly compute the eigenvalues and eigenvectors by solving a large sparse symmetric generalized eigenvalue problem. At the same time, this approach can avoid some matrix multiplication to speed up the reduction process. We have constructed a RC reduction tool with the new implementation method. The application of the tools to several RC networks has shown that this tool greatly outperforms the original implementation.
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Citation:  Zheng Hui, Zhang Wenjun, Tian Lilin, Yang Zhilian, "Enhancing the Efficiency of Reduction of Large RC networks By Pole Analysis via Congruence Transformations," asp-dac, p. 89,  Asia and South Pacific Design Automation Conference 1999 (ASP-DAC'99),  1999

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