Results 11 to 20 of about 276,787 (219)
Calculus of Variations and Partial Differential Equations, 2013 We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
Lindgren, Erik, Lindqvist, Peter
openaire +4 more sources
Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues [PDF]
arXiv, 2014 We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the Neumann eigenvalues in a ball and we deduce that the Steklov eigenvalues minimize the Neumann eigenvalues.
P. D. Lamberti, Luigi Provenzano
arxiv +2 more sources
Estimating Number of Factors by Adjusted Eigenvalues Thresholding [PDF]
Journal of the American Statistical Association, 2019 Determining the number of common factors is an important and practical topic in high-dimensional factor models. The existing literature is mainly based on the eigenvalues of the covariance matrix.
Jianqing Fan +2 more
semanticscholar +1 more source
Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments [PDF]
New Journal of Physics, 2018 Quantum phase estimation (QPE) is the workhorse behind any quantum algorithm and a promising method for determining ground state energies of strongly correlated quantum systems. Low-cost QPE techniques make use of circuits which only use a single ancilla
T. O’Brien, B. Tarasinski, B. Terhal
semanticscholar +1 more source
Bounds for Degree-Sum adjacency eigenvalues of a graph in terms of Zagreb indices [PDF]
Computer Science Journal of Moldova, 2021 For a graph $G$ the degree sum adjacency matrix $DS_A(G)$ is defined as a matrix, in which every element is sum of the degrees of the vertices if and only if the corresponding vertices are adjacent, otherwise it is zero.
Sumedha S. Shinde +3 more
doaj
On the location of LQ-optimal closed-loop poles [PDF]
Modeling, Identification and Control, 1992 Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary
David Di Ruscio
doaj +1 more source
Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters [PDF]
Mathematics Interdisciplinary Research, 2021 A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered.
Sertac Goktas, Esengul Biten
doaj +1 more source
Eigenvalues of Cayley Graphs [PDF]
Electronic Journal of Combinatorics, 2018 We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.
Xiaogang Liu, Sanming Zhou
semanticscholar +1 more source
Limiting laws for divergent spiked eigenvalues and largest nonspiked eigenvalue of sample covariance matrices [PDF]
Annals of Statistics, 2017 We study the asymptotic distributions of the spiked eigenvalues and the largest nonspiked eigenvalue of the sample covariance matrix under a general covariance matrix model with divergent spiked eigenvalues, while the other eigenvalues are bounded but ...
T. Cai, Xiao Han, G. Pan
semanticscholar +1 more source
Algebraic conditions and the sparsity of spectrally arbitrary patterns
Special Matrices, 2021 Given a square matrix A, replacing each of its nonzero entries with the symbol * gives its zero-nonzero pattern. Such a pattern is said to be spectrally arbitrary when it carries essentially no information about the eigenvalues of A.
Deaett Louis, Garnett Colin
doaj +1 more source