Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
SIAM Journal on Scientific Computing
Matrix computations (3rd ed.)
Parallel Preconditioning with Sparse Approximate Inverses
SIAM Journal on Scientific Computing
A comparative study of sparse approximate inverse preconditioners
IMACS'97 Proceedings on the on Iterative methods and preconditioners
A static pattern-independent technique for power grid voltage integrity verification
Proceedings of the 40th annual Design Automation Conference
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Computational Study of Cost Reoptimization for Min-Cost Flow Problems
INFORMS Journal on Computing
Power Distribution Networks with On-Chip Decoupling Capacitors
Power Distribution Networks with On-Chip Decoupling Capacitors
Fast vectorless power grid verification using an approximate inverse technique
Proceedings of the 46th Annual Design Automation Conference
A multigrid-like technique for power grid analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Fast Vectorless Power Grid Verification Under an RLC Model
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Vectorless verification of RLC power grids with transient current constraints
Proceedings of the International Conference on Computer-Aided Design
Overview of vectorless/early power grid verification
Proceedings of the International Conference on Computer-Aided Design
Scalable vectorless power grid current integrity verification
Proceedings of the 50th Annual Design Automation Conference
Constraint abstraction for vectorless power grid verification
Proceedings of the 50th Annual Design Automation Conference
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As part of power delivery network verification, one should check if the voltage fluctuations exceed some critical threshold. In this work, we consider the power and ground grids together and describe an early verification approach under the framework of current constraints where tight lower and upper bounds on worst-case voltage fluctuations are computed via linear programs. Experimental results indicate that the proposed technique results in errors in the range of a few mV.