GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Proceedings of the conference on Design, Automation and Test in Europe - Volume 2
SIAM Journal on Matrix Analysis and Applications
Understanding voltage variations in chip multiprocessors using a distributed power-delivery network
Proceedings of the conference on Design, automation and test in Europe
Solving Elliptic Finite Element Systems in Near-Linear Time with Support Preconditioners
SIAM Journal on Numerical Analysis
Parallel transistor level circuit simulation using domain decomposition methods
Proceedings of the 2009 Asia and South Pacific Design Automation Conference
A parallel preconditioning strategy for efficient transistor-level circuit simulation
Proceedings of the 2009 International Conference on Computer-Aided Design
Algorithm 907: KLU, A Direct Sparse Solver for Circuit Simulation Problems
ACM Transactions on Mathematical Software (TOMS)
Proceedings of the 47th Design Automation Conference
Tradeoff analysis and optimization of power delivery networks with on-chip voltage regulation
Proceedings of the 47th Design Automation Conference
Power grid analysis with hierarchical support graphs
Proceedings of the International Conference on Computer-Aided Design
Proceedings of the International Conference on Computer-Aided Design
Proceedings of the International Conference on Computer-Aided Design
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SPICE-accurate simulation of present-day large-scale nonlinear integrated circuit (IC) systems with millions of linear/nonlinear components can be prohibitively expensive, and thus extremely challenging. In this paper, we present a novel support-circuit preconditioning (SCP) technique for tackling large-scale nonlinear circuit simulations by exploiting sparsified graphs of a given circuit network. By extracting support graphs (SGs) from the original linear circuit networks, and combining them with nonlinear devices, support-circuit preconditioner can be efficiently computed using existing matrix solvers, allowing for on-the-fly updates during transient simulations when adopted in Krylov-subspace iterative solvers. Experimental results for a variety of large-scale circuit designs show that the proposed method achieves up to 22X speedups in solving the matrices involved in DC and transient (TR) simulations, and up to 8X reduction in memory usage, when compared with the simulator powered by the state-of-the-art direct solver KLU.