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用于快速P/G网分析的Cholesky分解法图模型
引用本文:竺红卫,马琪,李春强,严晓浪.用于快速P/G网分析的Cholesky分解法图模型[J].计算机辅助设计与图形学学报,2004,16(8):1080-1084.
作者姓名:竺红卫  马琪  李春强  严晓浪
作者单位:1. 浙江大学VLSI设计研究所,杭州,310027
2. 杭州电子工业学院微电子CAD研究所,杭州,310018
摘    要:通过对Cholesky分解法求解线性方程组的分析,建立Cholesky分解法三角化对称正定阵的图模型,并基于该模型及Mesh结构P/G网络的自身特点,提出一个P/G网快速分析算法.实验证明,该算法能大大降低Mesh结构P/G网络的分析运算时间和内存占用.

关 键 词:P/G网分析  Cholesky分解法  Mesh结构  对称正定阵

Graph Model of Cholesky Factorization for Fast Analysis of Power/Ground Networks
Zhu Hongwei,Ma Qi,Li Chunqiang,Yan Xiaolang.Graph Model of Cholesky Factorization for Fast Analysis of Power/Ground Networks[J].Journal of Computer-Aided Design & Computer Graphics,2004,16(8):1080-1084.
Authors:Zhu Hongwei  Ma Qi  Li Chunqiang  Yan Xiaolang
Affiliation:Zhu Hongwei 1) Ma Qi 2) Li Chunqiang 2) Yan Xiaolang 1) 1)
Abstract:A graph model for Cholesky factorization dealing with symmetric positive coefficient matrix is proposed. Based on this graph model, a fast P/G networks analysis approach using vertex sorting and removing is presented. Experimental results show the run-time and memory for analysis are reduced largely.
Keywords:mesh structure  P/G network analysis  Cholesky factorization  symmetric positive coefficient matrix
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