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Eigenvalue problems arise in many scientific and engineering applications. They are also important in emerging areas such as big data analysis. For example, eigenvalues (or singular values) can be use...
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
This paper provides a solution of a generalized eigenvalue problem for a fractional integrated processes. To this end two random matrices are constructed in order to take into account the stationarity...
In [6], Guo and Tan have shown that $2$ is a Laplacianeigenvalue of any tree with perfect matchings. For trees withoutperfect matchings, we study whether $2$ is one of its Laplacianeigenvalues. If th...
Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is re...
0 is a constant. Intervals of 5 are determined to ensure the existence of a nonnegative solution of the boundary value problem. For λ=1, we shall also offer criteria for the existence of eigenfunction...
In this paper,we give the upper bound and lower bound of k-th largest eigenvalue λ_κ of the Laplacian matrix of a graph G in terms of the edge number of G and the number of spanning trees of G.
In this paper, the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems. Based on an interpolation postprocessing, superconvergence estimates of both eigenfuncti...

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