Results 1 to 10 of about 26,944 (191)
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
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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
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Open Mathematics, 2016 Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem.
Zhao Jianxing, Sang Caili
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SNR walls in eigenvalue-based spectrum sensing [PDF]
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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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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Signal Bandwidth Impact on Maximum-Minimum Eigenvalue Detection
IEEE Communications Letters, 2015 The impact of the signal bandwidth and observation bandwidth on the detection performance of the maximum-minimum eigenvalue detector is studied in this letter. The considered signals are the Gaussian signals. The optimum ratio between the signal and the observation bandwidth is analytically proven to be 0.5 when reasonable values of the system ...
Mohamed Hamid, Niclas Björsell
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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
Hulanicki, A. +2 more
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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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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 ...
Julien M. Hendrickx +3 more
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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
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