Results 11 to 20 of about 26,944 (191)
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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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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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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Two new lower bounds for the minimum eigenvalue of M-tensors [PDF]
Journal 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
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Bounds and optimization of the minimum eigenvalue for a vibrating system [PDF]
Electronic 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
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An eigenvalue localization set for tensors and its applications
Journal of Inequalities and Applications, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Li et al. (Linear Algebra Appl. 481:36-53, 2015) and Huang et al. (J. Inequal. Appl. 2016:254, 2016).
Jianxing Zhao, Caili Sang
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Bicyclic graphs for which the least eigenvalue is minimum
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrović, Miroslav +2 more
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Existence of a principal eigenvalue for the Tricomi problem
Electronic Journal of Differential Equations, 2000 The existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction.
Daniela Lupo, Kevin R. Payne
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Lower bounds on the minimum eigenvalue of the Fan product of several M-matrices
Journal of Inequalities and ApplicationsThe concept of the Fan product of several M-matrices is introduced. Furthermore, two new lower bounds of the minimum eigenvalue of the Fan product of several M-matrices are proposed.
Qin Zhong
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A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse [PDF]
, 2022 summary:We propose a lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse, in terms of an $S$-type eigenvalues inclusion set and inequality scaling techniques. In addition, it is proved that the lower bound
Liu, Jianzhou, Zeng, Wenlong
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