Results 11 to 20 of about 251,319 (312)

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 random complex state.
Majumdar, S., Bohigas, O., Lakshminarayan, A.   +2 more
openaire   +6 more sources

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.
Feng Wang, Deshu Sun
openalex   +3 more sources

Lower bounds on the minimum eigenvalue of the Fan product of several M-matrices [PDF]

Journal of Inequalities and Applications
The 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
doaj   +2 more sources

Minimum number of distinct eigenvalues of graphs [PDF]

The Electronic Journal of Linear Algebra, 2013
The minimum number of distinct eigenvalues, taken over all real symmetric matrices compatible with a given graph $G$, is denoted by $q(G)$. Using other parameters related to $G$, bounds for $q(G)$ are proven and then applied to deduce further properties of $q(G)$. It is shown that there is a great number of graphs $G$ for which $q(G)=2$.
Bahman Ahmadi, Fatemeh Alinaghipour, Michael Cavers, Shaun Fallat, Karen Meagher, Shahla Nasser   +5 more
openalex   +6 more sources

Bounds for the minimum degree eigenvalues of graphs

Boletim da Sociedade Paranaense de Matemática
In this paper we obtain several upper bounds for the minimum degree eigenvalues of Graph G.
Shivakumar Swamy C. S.
openalex   +3 more sources

Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally Dominant M-Matrices [PDF]

Journal of Applied Mathematics, 2014
Let A be a doubly strictly diagonally dominant M-matrix. Inequalities on upper and lower bounds for the entries of the inverse of A are given. And some new inequalities on the lower bound for the minimal eigenvalue of A and the corresponding eigenvector ...
Ming Xu, Suhua Li, Chaoqian Li
doaj   +2 more sources

Notes on the minimum eigenvalue of the fan product

Journal of Physics: Conference Series
Abstract 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

Maximizing the Minimum Eigenvalue in Constant Dimension [PDF]

In 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
openalex   +3 more sources

Minimum Eigenvalue Detection for Spectrum Sensing in Cognitive Radio

International Journal of Electrical and Computer Engineering (IJECE), 2014
Spectrum sensing is a key task for cognitive radio. Our motivation is to increase the probability of detection for spectrum sensing in cognitive radio. In this paper, we proposed a new semi blind method which is based on minimum Eigenvalue of a covariance matrix. The ratio of the minimum eigenvalue to noise power is used as the test statistic.
Syed Sajjad Ali, Chang Liu, Minglu Jin
openalex   +2 more sources

A diagonal transformation-based algorithm for computing the minimum eigenvalue of irreducible M-matrices

AIMS Mathematics
This study presents a novel algorithm for computing the minimum eigenvalue of irreducible M-matrices. Firstly, we introduce a new diagonal transformation technique and establish sharper two-sided bounds for the spectral radius of irreducible nonnegative ...
Qin Zhong
doaj   +2 more sources