A survey of subspace recycling iterative methods

KM Soodhalter, E de Sturler, ME Kilmer - GAMM‐Mitteilungen, 2020 - Wiley Online Library
This survey concerns subspace recycling methods, a popular class of iterative methods that
enable effective reuse of subspace information in order to speed up convergence and find …

[图书][B] Advanced field-solver techniques for RC extraction of integrated circuits

W Yu, X Wang - 2014 - Springer
The main goal of writing this book was to present a methodological and algorithmic
perspective on the field-solver-based parasitic extraction of integrated circuits (ICs) …

Variation-aware stochastic extraction with large parameter dimensionality: Review and comparison of state of the art intrusive and non-intrusive techniques

T El-Moselhy, L Daniel - 2011 12th International Symposium on …, 2011 - ieeexplore.ieee.org
In this paper we review some of the state of the art techniques for parasitic interconnect
extraction in the presence of random geometrical variations due to uncertainties in the …

Recycling Krylov subspaces for solving linear systems with successively changing right-hand sides arising in model reduction

P Benner, L Feng - Model Reduction for Circuit Simulation, 2011 - Springer
We discuss the numerical solution of successive linear systems of equations Ax= b_i,\i= 1, 2,
..., m, by iterative methods based on recycling Krylov subspaces. We propose various …

Subspace recycling accelerates the parametric macro‐modeling of MEMS

L Feng, P Benner, JG Korvink - International Journal for …, 2013 - Wiley Online Library
SUMMARY A fast computational technique that speeds up the process of parametric macro‐
model extraction is proposed. An efficient starting point is the technique of parametric model …

Parametric model order reduction accelerated by subspace recycling

L Feng, P Benner, JG Korvink - … of the 48h IEEE Conference on …, 2009 - ieeexplore.ieee.org
Many model order reduction methods for parameterized systems need to construct a
projection matrix V which requires computing several moment matrices of the parameterized …

Mstab: Stabilized induced dimension reduction for Krylov subspace recycling

MP Neuenhofen, C Greif - SIAM Journal on Scientific Computing, 2018 - SIAM
We introduce M stab, a Krylov subspace recycling method for the iterative solution of
sequences of linear systems, where the system matrix is fixed and is large, sparse, and …

Incremental power network analysis using backward random walks

B Boghrati, SS Sapatnekar - 17th Asia and South Pacific …, 2012 - ieeexplore.ieee.org
The process of power network analysis during VLSI chip design is inherently iterative. It is
very common for the designer to make many small perturbations to an otherwise complete …

[图书][B] Multiple-rank updates to matrix factorizations for nonlinear analysis and circuit design

L Deng - 2010 - search.proquest.com
For the numerical solution of ODE/PDEs that describe the basic laws of science, such as
Kirchhoff's laws in circuit analysis, or nonlinear deformation equations in structural analysis …

Incremental analysis of power grids using backward random walks

B Boghrati, SS Sapatnekar - ACM Transactions on Design Automation of …, 2014 - dl.acm.org
Power grid design and analysis is a critical part of modern VLSI chip design and demands
tools for accurate modeling and efficient analysis. The process of power grid design is …