Results 1 to 10 of about 251,319 (312)
New bounds for the minimum eigenvalue of 𝓜-tensors
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
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Estimates for the minimum eigenvalue of an M-matrix [PDF]
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
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Minimum eigenvalue of the complement of tricyclic graphs with n-4 pendent vertexes
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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Two new lower bounds for the minimum eigenvalue of M-tensors [PDF]
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
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Several new inequalities for the minimum eigenvalue of M-matrices [PDF]
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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New bounds for the minimum eigenvalue of M-matrices
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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Minimum Eigenvalue Based Covariance Matrix Estimation with Limited Samples [PDF]
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
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Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]
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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Bounds and optimization of the minimum eigenvalue for a vibrating system
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
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Sharp Bounds on the Minimum M-Eigenvalue of Elasticity M-Tensors [PDF]
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
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