EIGENVECTORS

作品数：51被引量：36H指数：3
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AN EFFECTIVE CONTINUOUS ALGORITHM FOR APPROXIMATE SOLUTIONS OF LARGE SCALE MAX-CUT PROBLEMS
《Journal of Computational Mathematics》2006年第6期749-760,共12页Cheng-xian Xu Xiao-liang Feng-min Xu 
This work is supported by National Natural Science Foundation of China at 10231060.
An effective continuous algorithm is proposed to find approximate solutions of NP-hard max-cut problems. The algorithm relaxes the max-cut problem into a continuous nonlinear programming problem by replacing n discret...
关键词：Max-cut problems ALGORITHM Feasible direction method Laplacian matrix Eigenvectors. 
A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES
《Journal of Computational Mathematics》2005年第6期657-672,共16页S. Jiménez L. Vézquez 
We construct a family of dynamical systems whose evolution converges to the eigenvectors of a general square matrix, not necessarily symmetric. We analyze the convergence of those systems and perform numerical tests. ...
关键词：Smallest real eigenvalue Iterative method 
COMPUTING EIGENVECTORS OF NORMAL MATRICES WITH SIMPLE INVERSE ITERATION被引量：1
《Journal of Computational Mathematics》2003年第5期657-670,共14页Zhen-yue Zhang Tiang-wei Ouyang (Department of Mathematics, Zhejiang University, Yuquan Campus, Hangzhou 310027, China) 
The work of this author was supported in part by NSFC (project 19771073);Special Funds for Major State Basic Research Projects of China (project G19990328); Zhejiang Provincial Natural Science Foundation of China;Foundation for University Key Te
It is well-known that if we have an approximate eigenvalue A of a normal matrix A of order n, a good approximation to the corresponding eigenvector u can be computed by one inverse iteration provided the position, say...
关键词：EIGENVECTOR Inverse iteration ACCURACY Error estimation. 
IMPROVING EIGENVECTORS IN ARNOLDI'S METHOD被引量：4
《Journal of Computational Mathematics》2000年第3期265-276,共12页Zhong-xiao Jia (Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China) Ludwig Elsner (Fakultat fur Mathematik, University Bielefeld, Postfach 100131, 33501 Bielefeld,Germany) 
the China State Key Project for Basic Researches;the National Natural Science Foundation of China;The Research Fund for th
The Ritz vectors obtained by Arnoldi's method may not be good approxima- tions and even may not converge even if the corresponding Ritz values do. In order to improve the quality of Ritz vectors and enhance the effic...
关键词：Large unsymmetric The m-step Arnoldi process The m-step Arnoldi method EIGENVALUE Ritz value EIGENVECTOR Ritz vector Modified 
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