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《Journal of Computer Research and Development》 2004-05
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An Extended Divide and Conquer Algorithm for Solving Real Symmetric Band Generalized Eigenvalue Problem

WEI Li Feng 1 and LI Xiao Mei 2 1(School of Computer Science, National University of Defense Technology, Changsha 410073) 2(Institute of Command and Technology of Equipment, Beijing 101416)  
In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments
【Fund】: “十五”国防预研基金项目
【CateGory Index】: TP3016
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Chinese Journal Full-text Database 9 Hits
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3 Zhang Ruqing(Chongqing university,630044,P. R. China);Introdudion to parallel computational structural mechanics[J];;1995-04
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6 Wang Shunxu (Basic Department, Lianyungang College of Chemical Technology Lianyungang,222001) Zhou Shuquan (College of Science, Nanjing University of Aeronautics & Astronautics Nanjing, 210016);A Parallel Subspace Method Based on MPP Parallel Computer[J];JOURNAL OF NANJING UNIVERSITY OF AERONAUTICS & ASTRONAUTICS;2000-02
7 RUAN Hong-he,YUAN Yong,LIU Xian (Department of Building Engineering,Tongji University,Shanghai 200092,China);Progress of Parallel Finite Element Method on Distributed-memory Parallel Computer Systems[J];Journal of Tongji University;2005-01
8 Ying Zuguang (Dept,of Mechanics,Zhejiang University Hangzhou,310027) Qiu Jibo Tan Ziyong (Beijing Institute of Structure Environment Engineering Beijing,100076);Exact Residual Modes and Their Synthesis Techniques[J];Journal of Vibration Engineering;1996-01
9 GONG Yu-cai, ZHOU Hong-wei, CHEN Pu, YUAN Ming-wu (Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China);Comparison of subspace iteration, iterative Ritz vector method and iterative Lanczos method[J];Journal of Vibration Engineering;2005-02
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