Implicit application of polynomial filters in a k-step Arnoldi method
SIAM Journal on Matrix Analysis and Applications
Robust and optimal control
Poor Man's TBR: A Simple Model Reduction Scheme
Proceedings of the conference on Design, automation and test in Europe - Volume 2
Sylvester equations and projection-based model reduction
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on linear algebra and arithmetic, Rabat, Morocco, 28-31 May 2001
Low-Rank Solution of Lyapunov Equations
SIAM Review
A quasi-convex optimization approach to parameterized model order reduction
Proceedings of the 42nd annual Design Automation Conference
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient model reduction of interconnects via double gramians approximation
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
Wideband reduced modeling of interconnect circuits by adaptive complex-valued sampling method
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Decentralized and passive model order reduction of linear networks with massive ports
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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In this paper we are concerned with developing more reliable model reduction algorithms. We have focused on less common, but real, examples that fail to be effectively reduced by almost all of the currently popular model reduction methods. The failure of these popular methods is due to the fact that they all separately examine controllability and observability. We then present a new method based on several modifications and extensions of the recently developed AISIAD algorithm. The modified AISAID method is demonstrated on a wide variety of examples, including electrical interconnect, micromachined devices, and heat flow to show that the method is reliable. Our modified AISAID method is either nearly equivalent or far superior to any of the other reduction methods suitable for large scale problems.