Results 1 to 10 of about 251,319 (312)

New bounds for the minimum eigenvalue of 𝓜-tensors

open access: goldOpen 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   +3 more sources

Estimates for the minimum eigenvalue of an M-matrix [PDF]

open access: diamondJournal of Physics: Conference Series, 2023
Abstract New sharper lower bounds for the minimal eigenvalues of symmetric M-matrices and nonsymmetric M-matrices are proposed by constructing two increasing sequences. By contrasting the proposed instances with the related findings, two instances are offered to demonstrate the effectiveness of the technique.
Qin Zhong, Ling Li
openalex   +2 more sources

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

open access: greenJournal 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   +2 more sources

Two new lower bounds for the minimum eigenvalue of M-tensors [PDF]

open access: goldJournal of Inequalities and Applications, 2016
Two new lower bounds for the minimum eigenvalue of an irreducible M-tensor are given. It is proved that the new lower bounds improve the corresponding bounds obtained by He and Huang (J. Inequal. Appl. 2014:114, 2014).
Jianxing Zhao, Caili Sang
doaj   +2 more sources

Several new inequalities for the minimum eigenvalue of M-matrices [PDF]

open access: yesJournal 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 access: yesOpen 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

Minimum Eigenvalue Based Covariance Matrix Estimation with Limited Samples [PDF]

open access: green2024 IEEE Wireless Communications and Networking Conference (WCNC), 2023
In this paper, we consider the interference rejection combining (IRC) receiver, which improves the cell-edge user throughput via suppressing inter-cell interference and requires estimating the covariance matrix including the inter-cell interference with high accuracy.
Qian Jing, Juening Jin, Hao Wang
openalex   +3 more sources

Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]

open access: goldOpen 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
doaj   +2 more sources

Bounds and optimization of the minimum eigenvalue for a vibrating system

open access: diamondElectronic Journal of Qualitative Theory of Differential Equations, 2013
We consider the problem of the oscillation of a string fixed at one end with a mass connected to a spring at the other end. The problem of minimizing the first eigenvalue of the system subject to a fixed total mass constraint is investigated.
Don Hinton, Maeve McCarthy
doaj   +2 more sources

Sharp Bounds on the Minimum M-Eigenvalue of Elasticity M-Tensors [PDF]

open access: goldMathematics, 2020
The M-eigenvalue of elasticity M-tensors play important roles in nonlinear elastic material analysis. In this paper, we establish an upper bound and two sharp lower bounds for the minimum M-eigenvalue of elasticity M-tensors without irreducible ...
Ying Zhang, Linxuan Sun, Gang Wang
doaj   +2 more sources

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