Results 1 to 10 of about 1,914,031 (237)

Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State [PDF]

Journal of Statistical Physics, 2008
A recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved. In fact, the full distribution of the minimum eigenvalue is derived exactly for both the cases of a random real and a ...
Satya N. Majumdar, O. Bohigas, Arul Lakshminarayan   +2 more
core   +10 more sources

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
doaj   +5 more sources

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
doaj   +4 more sources

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
doaj   +4 more sources

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
doaj   +4 more sources

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
doaj   +2 more sources

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix [PDF]

arXiv.org
This paper establishes a new comparison principle for the minimum eigenvalue of a sum of independent random positive-semidefinite matrices. The principle states that the minimum eigenvalue of the matrix sum is controlled by the minimum eigenvalue of a ...
Joel A. Tropp
openalex   +2 more sources

Notes on the minimum eigenvalue of the fan product

Journal of Physics: Conference Series
This article aims to discuss the minimum eigenvalue of the Fan product. We derive a new lower bound for the minimum eigenvalue based on the previous result and compare it with related conclusions. Finally, we verify our findings with a specific example.
Ling Li, Qin Zhong
openalex   +2 more sources

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

, 2015
Several convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix are given. Numerical examples show that these sequences could reach the true value of the minimum eigenvalue in ...
Jianxing Zhao, Feng Wang, Caili Sang
openalex   +2 more sources

An innovative algorithm for estimating the minimum eigenvalue of M-matrices

Journal of Inequalities and Applications
For a general M-matrix, we construct a specialized matrix to derive monotonically increasing lower bounds and monotonically decreasing upper bounds for its minimum eigenvalue.
Qin Zhong, Ling Li, Gufang Mou
doaj   +2 more sources