An Efficiently Preconditioned GMRES Method for Fast Parasitic-Sensitive Deep-Submicron VLSI Circuit Simulation

AbstractThis work is devoted to computations of deflating subspaces associated with separated groups of finite eigenvalues near specified shifts of large regular matrix pencils. The proposed method is a combination of inexact inverse subspace iteration and Newton’s method. The first one is slow but reliably convergent starting with almost an arbitrary initial subspace and it is used as a preprocessing to obtain a good initial guess for the second method which is fast but only locally convergent. The Newton method necessitates at each iteration the solution of a generalized Sylvester equation and for this task an iterative algorithm based on the preconditioned GMRES method is devised. Numerical properties of the proposed combination are illustrated with a typical hydrodynamic stability problem.

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GPU based parallel simulation of transient stability using symplectic Gauss algorithm and preconditioned GMRES method

2012 Power Engineering and Automation Conference ◽

10.1109/peam.2012.6612434 ◽

2012 ◽

Cited By ~ 1

Author(s):

Wen Baijian ◽

Guo Wenxin ◽

Hu Jiayi ◽

Wang Fangzong ◽

Ye Jing

Keyword(s):

Transient Stability ◽

Parallel Simulation ◽

Gmres Method ◽

Preconditioned Gmres

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An Efficiently Preconditioned GMRES Method for Fast Parasitic-Sensitive Deep-Submicron VLSI Circuit Simulation

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