Results 1 to 10 of about 252,925 (275)

Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State [PDF]

Journal of Statistical Physics, 2008
A recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved. In fact, the full distribution of the minimum eigenvalue is derived exactly for both the cases of a random real and a ...
A. Edelman, A. Lakshminarayan, A. Peres, A.T. James, Arul Lakshminarayan, C.A. Tracy, C.A. Tracy, D.N. Page, D.S. Dean, E.J. Gumbel, F. Haake, G. Biroli, G. Gyorgyi, G. Schehr, I. Bengtsson, I.M. Johnstone, I.S. Gradshteyn, J. Karthik, J. Wishart, J.N. Bandyopadhyay, K. Fukunaga, K. Johansson, K. Kudo, K. Zyczkowski, M. Abramowitz, M. Präehofer, M. Znidaric, M.A. Neilsen, M.L. Mehta, O. Bohigas, Oriol Bohigas, P. Hayden, P. Vivo, P.V. Vanderpals, S. Hill, S. Lloyd, S.N. Majumdar, S.N. Majumdar, S.S. Wilks, Satya N. Majumdar, W.K. Wootters   +40 more
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Several new inequalities for the minimum eigenvalue of M-matrices [PDF]

Journal of Inequalities and Applications, 2016
Several convergent sequences of the lower bounds for the minimum eigenvalue of M-matrices are given. It is proved that these sequences are monotone increasing and improve some existing results.
Jianxing Zhao, Caili Sang
doaj   +2 more sources

New bounds for the minimum eigenvalue of M-matrices

Open Mathematics, 2016
Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices.
Wang Feng, Sun Deshu
doaj   +2 more sources

New bounds for the minimum eigenvalue of 𝓜-tensors

Open Mathematics, 2017
A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal.
Zhao Jianxing, Sang Caili
doaj   +2 more sources

Minimum eigenvalues for positive, Rockland operators [PDF]

Proceedings of the American Mathematical Society, 1985
Let L L be a positive, Rockland operator of homogeneous degree γ \gamma . The minimum eigenvalue of d π ( L ) d\pi (L) increases as the γ \gamma th power of the homogeneous distance from the origin of the orbit corresponding to π \pi
Hulanicki, A., Jenkins, J. W., Ludwing, J.   +2 more
openaire   +1 more source

Double Threshold DMM Spectrum Sensing Algorithm Based on Limiting Eigenvalue Distribution [PDF]

Jisuanji gongcheng, 2017
This paper uses the Random Matrix Theory(RMT) of eigen structure,analyzes and researches the limiting eigenvalue distribution of sampling covariance matrix for multiple cognitive users,and proposes a double threshold spectrum sensing algorithm based on ...
GAO Peng,LIU Yunjiang,GAO Weiting,LI Man
doaj   +1 more source

Graph diameter, eigenvalues, and minimum-time consensus [PDF]

Automatica, 2014
We consider the problem of achieving average consensus in the minimum number of linear iterations on a fixed, undirected graph. We are motivated by the task of deriving lower bounds for consensus protocols and by the so-called "definitive consensus conjecture" which states that for an undirected connected graph G with diameter D there exist D matrices ...
Hendrickx, Julien M., Jungers, Raphaël M., Olshevsky, Alexander, Vankeerberghen, Guillaume   +3 more
openaire   +2 more sources

The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems

Boundary Value Problems, 2021
In this paper, we are concerned with the eigenvalue gap and eigenvalue ratio of the Dirichlet conformable fractional Sturm–Liouville problems. We show that this kind of differential equation satisfies the Sturm–Liouville property by the Prüfer ...
Yan-Hsiou Cheng
doaj   +1 more source

Minimum number of distinct eigenvalues of graphs [PDF]

The Electronic Journal of Linear Algebra, 2013
The minimum number of distinct eigenvalues, taken over all real symmetric matrices compatible with a given graph $G$, is denoted by $q(G)$. Using other parameters related to $G$, bounds for $q(G)$ are proven and then applied to deduce further properties of $q(G)$. It is shown that there is a great number of graphs $G$ for which $q(G)=2$.
Ahmadi, Bahman, Alinaghipour, Fatehmeh, Cavers, Michael S., Fallat, Shaun, Meagher, Karen, Nasserasr, Shahla   +5 more
openaire   +4 more sources

Minimum eigenvalue of the complement of tricyclic graphs with n-4 pendent vertexes

Journal of Hebei University of Science and Technology, 2019
In order to discuss the minimum eigenvalue of adjacency matrix in the class of complementary graphs of the tricyclic graph with a given order of n and n－4 pendent vertexes, the unique graph whose minimum eigenvalue reaches the minimum is characterized ...
Hongjuan JU, Yingjie LEI
doaj   +1 more source