An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices
SIAM Journal on Scientific Computing
Efficient linear circuit analysis by Pade´ approximation via the Lanczos process
EURO-DAC '94 Proceedings of the conference on European design automation
Automatic differentiation in circuit simulation and device modeling
ICCAD '92 Proceedings of the 1992 IEEE/ACM international conference on Computer-aided design
Computer Methods for Circuit Analysis and Design
Computer Methods for Circuit Analysis and Design
Reduced-order modeling of large linear subcircuits via a block Lanczos algorithm
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
Optimization techniques for high-performance digital circuits
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Numerical Simulation and Modelling of Electronic and Biochemical Systems
Foundations and Trends in Electronic Design Automation
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We describe the application of the PVL algorithm to the small-signal analysis of circuits, including sensitivity computations. The PVL algorithm is based on the efficient computation of the Pade´ approximation of the network transfer function via the Lanczos process. The numerical stability of the algorithm permits the accurate computation of the Pade´ approximation over any given frequency range. We extend the algorithm to compute sensitivities of network transfer functions, their poles, and zeros, with respect to arbitrary circuit parameters, with minimal additional computational cost, and we present numerical examples.