Results 81 to 90 of about 276,787 (219)

Numerical Optimization of Eigenvalues of Hermitian Matrix Functions [PDF]

, 2011
This work concerns the global minimization of a prescribed eigenvalue or a weighted sum of prescribed eigenvalues of a Hermitian matrix-valued function depending on its parameters analytically in a box. We describe how the analytical properties of eigenvalue functions can be put into use to derive piece-wise quadratic functions that underestimate the ...
arxiv   +1 more source

Transmission eigenvalues for elliptic operators [PDF]

arXiv, 2010
A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a non-selfadjoint compact operator is given. Sufficient conditions for the existence of transmission eigenvalues and completeness of generalized eigenstates for the transmission ...
arxiv  

Geometric Bounds for Eigenvalues of Markov Chains

, 1991
We develop bounds for the second largest eigenvalue and spectral gap of a reversible Markov chain. The bounds depend on geometric quantities such as the maximum degree, diameter and covering number of associated graphs. The bounds compare well with exact
P. Diaconis, D. Stroock
semanticscholar   +1 more source

Novel concepts in linear Diophantine fuzzy graphs with an application [PDF]

Proceedings of the Estonian Academy of Sciences
The linear Diophantine fuzzy graph (LDFG) notion serves as a new mathematical approach for the ambiguity and uncertainty modeling in decision-making issues. An LDFG eliminates the strict limitations of various existing graphs. The energy concept in graph
Xiaolong Shi, Maryam Akhoundi, Hossein Rashmanlou, Masomeh Mojahedfar   +3 more
doaj   +1 more source

Bounds for eigenvalue ratios of the Laplacian [PDF]

arXiv, 2011
For a bounded domain $\Omega$ with a piecewise smooth boundary in an $n$-dimensional Euclidean space $\mathbf{R}^{n}$, we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. First we give a general inequality for eigenvalues of the Laplacian.
arxiv  

Wentzel-Laplace eigenvalues comparison [PDF]

arXiv, 2020
In this paper we present quantitative comparisons between the Wentzel-Laplace eigenvalues, Steklov eigenvalues and Laplacian eigenvalues on the boundary of the target manifold using Riccati comparison techniques to estimate the Hessian of the distance function from the boundary.
arxiv  

On the instability of eigenvalues

, 2009
to appear in "Cluj University Press"
openaire   +4 more sources

Representation of the norming constants by two spectra

Electronic Journal of Differential Equations, 2010
The representation of the norming constants by 2 spectra was studied by Levitan, Gasymov (and others) for the Sturm-Liouville problem with boundary conditions $y(0)cosalpha +y'(0)sinalpha=0$, $y(pi)coseta+y'(pi)sineta =0$, when $sin alpha eq 0$ and $
Tigran N. Harutyunyan
doaj  

On the Main Signless Laplacian Eigenvalues of a Graph [PDF]

arXiv, 2012
A signless Laplacian eigenvalue of a graph $G$ is called a main signless Laplacian eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this paper, we first give the necessary and sufficient conditions for a graph with one main signless Laplacian eigenvalue or two main signless Laplacian eigenvalues, and then ...
arxiv  

Estimates for higher Steklov eigenvalues [PDF]

, 2016
In this paper, motivated by the work of Raulot and Savo, we generalize Raulot-Savo's estimate for the first Steklov eigenvalues of Euclidean domains to higher Steklov eigenvalues.
arxiv   +1 more source