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Smaller Gershgorin disks for multiple eigenvalues of complex matrices
Extending an earlier result for real matrices we show that multiple eigenvalues of a complex matrix lie in a reduced Gershgorin disk. One...
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Eigenvalues and Eigenvectors
In this chapter, we explore the foundational concepts of eigenvalues and eigenvectors, providing a deep understanding of their definition,...
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Eigenvalues
Suppose to simplify that \(\Omega \) is the...
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Eigenvalues
Abstract
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Sampling the eigenvalues of a graph
We are concerned with the computational aspects of eigenvalues of a simple graph made of Sturm–Liouville operators on its edges. We show how the...
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Characterization of digraphs with three complementarity eigenvalues
Given a digraph D , the complementarity spectrum of the digraph is defined as the set of complementarity eigenvalues of its adjacency matrix. This...
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Hecke Eigenvalues and Minimal Levels
Let F be a nonarchimedean local field of characteristic zero, and let...
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A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
The authors present a novel deep learning method for computing eigenvalues of the fractional Schrödinger operator. The proposed approach combines a...
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Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry
We numerically compute the lowest Laplacian eigenvalues of several two-dimensional shapes with dihedral symmetry at arbitrary precision arithmetic....
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Parasitic Eigenvalues of Spectral Problems for the Laplacian with Third-Type Boundary Conditions
AbstractSpectral problems for the Laplacian with Robin and Steklov (third-type) boundary conditions on a smooth boundary of a plane domain are...
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Convergence analysis of the largest and smallest H-eigenvalues for a class of tensor sequences
This paper considers the convergence analysis of the H-eigenvalues for a class of real symmetric and convergent tensor sequences. We first establish...
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Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case
In previous works, it was suggested to use Steklov eigenvalues for Maxwell equations as target signature for nondestructive testing, and it was...
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Hecke Eigenvalues and Fourier Coefficients
In this final chapter we present some applications of the local theory of the first part of this work to the Hecke eigenvalues and Fourier...
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On irregularity indices and main eigenvalues of graphs and their applicability
Graph-theoretic irregularity indices have diverse applications in computer science. This paper extends their practical applicability in reticular...
