EIGENVECTOR

作品数：79被引量：90H指数：4
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相关作者：程时昕刘希玉杨维赵世佳林令娟更多>>
相关机构：密西西比大学东南大学天津师范大学山东师范大学更多>>
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Nondegeneracy of eigenvectors and singular vector tuples of tensors
《Science China Mathematics》2022年第12期2483-2492,共10页Shenglong Hu 
supported by National Natural Science Foundation of China(Grant No.11771328);Young Elite Scientists Sponsorship Program by Tianjin and the Natural Science Foundation of Zhejiang Province of China(Grant No.LD19A010002)。
In this article, nondegeneracy of singular vector tuples, Z-eigenvectors and eigenvectors of tensors is studied, which have found many applications in diverse areas. The main results are:(ⅰ)each(Z-)eigenvector/singul...
关键词：tensor singular vector tuple EIGENVECTOR Z-eigenvector NONDEGENERACY generic 
Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks
《Science China Mathematics》2016年第2期205-226,共22页DIACONIS Persi MICLO Laurent 
supported by Agence Nationale de la Recherche(Grant Nos.ANR-11-LABX-0040-CIMI;ANR-11-IDEX-0002-02 and ANR-12-BS01-0019)
Consider a finite absorbing Markov generator, irreducible on the non-absorbing states. PerronFrobenius theory ensures the existence of a corresponding positive eigenvector ψ. The goal of the paper is to give bounds o...
关键词：finite absorbing Markov process first Dirichlet eigenvector path method spectral estimates denumerable absorbing birth and death process entrance boundary 
A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem
《Science China Mathematics》2008年第12期2205-2216,共12页JIA ZhongXiao WANG Zhen 
supported by the National Natural Science Foundation of China (Grant Nos. 10471074, 10771116);the Doctoral Program of the Ministry of Education of China (Grant No. 20060003003)
The inexact Rayleigh quotient iteration (RQI) is used for computing the smallest eigenpair of a large Hermitian matrix. Under certain condition, the method was proved to converge quadratically in literature. However, ...
关键词：eigenvalue EIGENVECTOR large Hermite matrix INEXACT RQI simplified JD convergence misconvergence the uniform positiveness condition 65F15 
Some theoretical comparisons of refined Ritz vectors and Ritz vectors被引量：1
《Science China Mathematics》2004年第z1期222-233,共12页JIA Zhongxiao 
Refined projection methods proposed by the author have received attention internationally. We are concerned with a conventional projection method and its refined counterpart for computing approximations to a simple ei...
关键词：large matrix  CONVENTIONAL projection  refined projection  eigenvalue  eigenvector  Ritz value  Ritz vector refined Ritz vector. 
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