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An adaptive LU factorization algorithm for parallel circuit simulation

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3 Author(s)
Xiaoming Chen ; Dept. of Electron. Eng., Tsinghua Univ., Beijing, China ; Yu Wang ; Huazhong Yang

Sparse matrix solver has become the bottleneck in SPICE simulator. It is difficult to parallelize the solver because of the high data-dependency during the numerical LU factorization. This paper proposes a parallel LU factorization (with partial pivoting) algorithm on shared-memory computers with multi-core CPUs, to accelerate circuit simulation. Since not every matrix is suitable for parallel algorithm, a predictive method is proposed to decide whether a matrix should use parallel or sequential algorithm. The experimental results on 35 circuit matrices reveal that the developed algorithm achieves speedups of 2.11×~8.38× (on geometric-average), compared with KLU, with 1~8 threads, on the matrices which are suitable for parallel algorithm. Our solver can be downloaded from

Published in:

Design Automation Conference (ASP-DAC), 2012 17th Asia and South Pacific

Date of Conference:

Jan. 30 2012-Feb. 2 2012