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151.
152.
The upper bound of maximal entries in the principal eigenvector of a simple undirected connected graph is investigated in [Linear Algebra Appl. 310 (2000) 129]. We further investigate the maximal entry ymaxp in the principle eigenvector of symmetric nonnegative matrix with zero trace and obtain both sharp upper and lower bounds on the ymaxp. Particularly, this result answers the open question given in the above-mentioned reference 相似文献
153.
ROSANNA GRASSI SILVANA STEFANI ANNA TORRIERO 《The Journal of mathematical sociology》2013,37(3):237-248
In this article we establish new results on the components of the principal eigenvector in an undirected graph. Those results are particularly significant in relation to the concept of centrality in social networks. In particular degree centrality and eigenvector centrality are compared. We find further conditions, based on the spectral radius, on which nodes with highest degree centrality are also the most eigencentral. 相似文献
154.
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157.
Hisao Nagao 《Annals of the Institute of Statistical Mathematics》1988,40(3):477-489
This paper deals with some problems of eigenvalues and eigenvectors of a sample correlation matrix and derives the limiting distributions of their jackknife statistics with some numerical examples. 相似文献
158.
Hadamard和Fischer不等式在矩阵研究中起重要作用.已有大量文献研究此两不等式的新证明、推广、细化及应用.本文研究了和实对称正定矩阵相关的一类矩阵的特征值,并建立了关于这类矩阵特征值乘积范围的一个不等式,利用此不等式证明了行列式的Fischer和Hadamard不等式. 相似文献
159.
The state space reconstruction technology of different kinds of chaotic data obtained from dynamical system 总被引:7,自引:0,他引:7
Certain deterministic nonlinear systems may show chaotic behavior. We consider the motion of qualitative information and the
practicalities of extracting a part from chaotic experimental data. Our approach based on a theorem of Takens draws on the
ideas from the generalized theory of information known as singular system analysis. We illustrate this technique by numerical
data from the chaotic region of the chaotic experimental data. The method of the singular-value decomposition is used to calculate
the eigenvalues of embedding space matrix. The corresponding concrete algorithm to calculate eigenvectors and to obtain the
basis of embedding vector space is proposed in this paper. The projection on the orthogonal basis generated by eigenvectors
of timeseries data and concrete paradigm are also provided here. Meanwhile the state space reconstruction technology of different
kinds of chaotic data obtained from dynamical system has also been discussed in detail.
The project supported by the National Natural Science Foundation of China (19672043) 相似文献
160.