Results 81 to 90 of about 1,914,031 (237)

The "hot spots" conjecture on the Vicsek set

Demonstratio Mathematica, 2019
We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.
Ionescu Marius, Savage Thomas L.
doaj   +1 more source

Inverse Eigenvalue Problems for Two Special Acyclic Matrices

Mathematics, 2016
In this paper, we study two inverse eigenvalue problems (IEPs) of constructing two special acyclic matrices. The first problem involves the reconstruction of matrices whose graph is a path, from given information on one eigenvector of the required matrix
Debashish Sharma, Mausumi Sen
doaj   +1 more source

New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications

Journal of Inequalities and Applications, 2020
M-eigenvalues of elasticity M-tensors play an important role in nonlinear elasticity and materials. In this paper, we present several new lower bounds for the minimum M-eigenvalue of elasticity M-tensors and propose numerical examples to illustrate the ...
Haitao Che, Haibin Chen, Na Xu, Qingni Zhu   +3 more
doaj   +1 more source

Cooperative spectrum sensing algorithm based on limiting eigenvalue distribution

Tongxin xuebao, 2015
A novel maximum-minimum eigenvalue (NMME) cooperative spectrum sensing algorithm and threshold decision rule are proposed via analyzing minimum eigenvalue limiting distribution of the covariance matrix of the received signals from multiple cognitive ...
Yin MI, Guang-yue LU
doaj   +2 more sources

Performance of Cooperative Eigenvalue Spectrum Sensing with a Realistic Receiver Model under Impulsive Noise

Journal of Sensor and Actuator Networks, 2013
In this paper we present a unified comparison of the performance of four detection techniques for centralized data-fusion cooperative spectrum sensing in cognitive radio networks under impulsive noise, namely, the eigenvalue-based generalized likelihood ...
Dayan A. Guimarães, André N. Barreto, Rausley A. A. de Souza   +2 more
doaj   +1 more source

Some inequalities for the Fan product of M-tensors

Journal of Inequalities and Applications, 2018
In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two M-tensors.
Gang Wang, Yanan Wang, Yuan Zhang
doaj   +1 more source

Note on the product of the largest and the smallest eigenvalue of a graph

Special Matrices
In this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.
Abiad Aida, Dalfó Cristina, Fiol Miquel Àngel   +2 more
doaj   +1 more source

Preconditioned Lanczos Methods for the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix [PDF]

, 2000
Michael K. Ng
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Advanced Spectrum Sensing Techniques for Robust Train-to-Train Wireless Communication Systems: A Comprehensive Evaluation

IEEE Access
In the context of full automation of train operation, flexible train management, and improved traffic capacity, the Next Generation Train Control and Monitoring System (NG-TCMS) represents a key technology.
Chadli Hadji, Yamen Alsaba, Marion Berbineau, Fouzia Elbahhar, Rodrigue Fargeon   +4 more
doaj   +1 more source

On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree [PDF]

, 2002
António Leal Duarte, Charles R. Johnson
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