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
doaj +2 more sources
Lower bounds on the minimum eigenvalue of the Fan product of several M-matrices
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
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Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]
In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M. +10 more
core +4 more sources
Minimum eigenvalues for positive, Rockland operators [PDF]
Let L L be a positive, Rockland operator of homogeneous degree
Hulanicki, A. +2 more
openaire +1 more source
Generalized and quadratic eigenvalue problems with hermitian matrices. [PDF]
Eigenvalue and eigenvector computations are extremely important and have various applications in engineering, physics and other scientific disciplines.
Farah, Ali Mohamud
core +7 more sources
Double Threshold DMM Spectrum Sensing Algorithm Based on Limiting Eigenvalue Distribution [PDF]
This paper uses the Random Matrix Theory(RMT) of eigen structure,analyzes and researches the limiting eigenvalue distribution of sampling covariance matrix for multiple cognitive users,and proposes a double threshold spectrum sensing algorithm based on ...
GAO Peng,LIU Yunjiang,GAO Weiting,LI Man
doaj +1 more source
Graph diameter, eigenvalues, and minimum-time consensus [PDF]
We consider the problem of achieving average consensus in the minimum number of linear iterations on a fixed, undirected graph. We are motivated by the task of deriving lower bounds for consensus protocols and by the so-called "definitive consensus conjecture" which states that for an undirected connected graph G with diameter D there exist D matrices ...
Julien M. Hendrickx +3 more
openaire +2 more sources
The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems
In this paper, we are concerned with the eigenvalue gap and eigenvalue ratio of the Dirichlet conformable fractional Sturm–Liouville problems. We show that this kind of differential equation satisfies the Sturm–Liouville property by the Prüfer ...
Yan-Hsiou Cheng
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Estimates for the minimum eigenvalue of an M-matrix
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
openaire +1 more source
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
doaj +1 more source

