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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. +2 more
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Extended Perron complements of M-matrices
AIMS Mathematics, 2023 This paper aims to consider the extended Perron complements for the collection of M-matrices. We first exhibit the connection between the extended Perron complements of M-matrices and nonnegative matrices.
Qin Zhong, Chunyan Zhao
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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. +3 more
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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
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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
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New lower bounds of the minimum eigenvalue for the Fan product of several M-matrices
AIMS Mathematics, 2023 In this study, we generalize the definition of the Fan product of two M-matrices to any $ k $ M-matrices $ {{A}_{1}}, {{A}_{2}}, \cdots, {{A}_{k}} $ of order $ n $.
Qin Zhong
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SNR walls in eigenvalue-based spectrum sensing
EURASIP Journal on Wireless Communications and Networking, 2017 Various spectrum sensing approaches have been shown to suffer from a so-called signal-to-noise ratio (SNR)-wall, an SNR value below which a detector cannot perform robustly no matter how many observations are used. Up to now, the eigenvalue-based maximum-
Andreas Bollig +3 more
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Maxima of the Q-index: graphs without long paths [PDF]
, 2013 This paper gives tight upper bound on the largest eigenvalue q(G) of the signless Laplacian of graphs with no paths of given order. The main ingredient of our proof is a stability result of its own interest, about graphs with large minimum degree and ...
Nikiforov, Vladimir, Yuan, Xiying
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On the Neumann eigenvalues for second-order Sturm–Liouville difference equations
Advances in Difference Equations, 2020 The paper is concerned with the Neumann eigenvalues for second-order Sturm–Liouville difference equations. By analyzing the new discriminant function, we show the interlacing properties between the periodic, antiperiodic, and Neumann eigenvalues ...
Yan-Hsiou Cheng
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Scaling Theory of Conduction Through a Normal-Superconductor Microbridge [PDF]
, 1994 The length dependence is computed of the resistance of a disordered normal-metal wire attached to a superconductor. The scaling of the transmission eigenvalue distribution with length is obtained exactly in the metallic limit, by a transformation onto ...
A. F. Volkov +18 more
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