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Stable and Compact Inductance Modeling of 3-D Interconnect Structures

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3 Author(s)
Hong Li ; Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN ; Balakrishnan, V. ; Cheng-Kok Koh

Recent successful techniques for the efficient simulation of large-scale interconnect models rely on the sparsification of the inverse of the inductance matrix L. While there are several techniques for sparsifying L-1, the stability of these approximations for general interconnect structures has not been established, i.e., the sparsified reluctance and inductance matrices are not guaranteed to be positive-definite. In this paper, we present a novel technique for reluctance sparsification for general interconnect structures that enjoys several advantages: first, the resulting sparse approximation is guaranteed to be positive definite; second, the approximation is optimal, in a certain well-defined sense; third, owing to its computational efficiency and numerical stability, the algorithm is applicable for very large problem sizes; and finally our approach yields a compact representation of both inductance and reluctance matrices for general cases

Published in:

Computer-Aided Design, 2006. ICCAD '06. IEEE/ACM International Conference on

Date of Conference:

5-9 Nov. 2006

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