Results 11 to 20 of about 1,274,829 (283)
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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New bounds for the minimum eigenvalue of 𝓜-tensors
Open 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
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Maximizing the Minimum Eigenvalue in Constant Dimension
CoRRIn an instance of the minimum eigenvalue problem, we are given a collection of $n$ vectors $v_1,\ldots, v_n \subset {\mathbb{R}^d}$, and the goal is to pick a subset $B\subseteq [n]$ of given vectors to maximize the minimum eigenvalue of the matrix $\sum_{i\in B} v_i v_i^{\top} $.
Adam Brown, Aditi Laddha, Mohit Singh
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Sharp Bounds on the Minimum M-Eigenvalue of Elasticity M-Tensors
Mathematics, 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
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Some new inequalities for the minimum eigenvalue of M-matrices [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Feng, Sun, De-shu
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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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Inequalities for the minimum eigenvalue of M-matrices
The Electronic Journal of Linear Algebra, 2010 Let A be a nonsingular M-matrix, and τ(A) denote its minimum eigenvalue. Shivakumar et al. [SIAM J. Matrix Anal. Appl., 17(2):298-312, 1996] presented some bounds of τ(A) when A is a weakly chained diagonally dominant M-matrix. The present paper establishes some new bounds of τ(A) for a general nonsingular M-matrix A.
Gui-Xian Tian, Ting-Zhu Huang
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Bicyclic graphs for which the least eigenvalue is minimum [PDF]
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrović, Miroslav +2 more
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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 ...
Niclas Björsell, Mohamed Hamid
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