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Some fundamental problems in global Finsler geometry [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2021
The geometry and analysis on Finsler manifolds is a very important part of Finsler geometry. In this survey article, we introduce some important and fundamental topics in global Finsler geometry and discuss the related properties and the relationships in
Xinyue Cheng
doaj   +1 more source

On Ambarzumian type theorems for tree domains [PDF]

open access: yesOpuscula Mathematica, 2022
It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
doaj   +1 more source

Dynamic Response of the Inertial Platform of the Laser ELI-NP Magurele-Bucharest Facility

open access: yesMathematics, 2022
Previous studies on the vibrational behavior of the inertial platform installed at ELI-NP, in Magurele-Bucharest have reported eigenfrequencies in the domain in which excitations can occur from earthquakes which manifests itself periodically in this ...
Calin Itu   +7 more
doaj   +1 more source

Bernstein-type theorems in hypersurfaces with constant mean curvature

open access: yesAnais da Academia Brasileira de Ciências, 2000
By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
doaj   +1 more source

Analytical solutions to some generalized and polynomial eigenvalue problems

open access: yesSpecial Matrices, 2021
It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
doaj   +1 more source

Tensor Eigenvalue and SVD from the Viewpoint of Linear Transformation

open access: yesAxioms, 2023
A linear transformation from vector space to another vector space can be represented as a matrix. This close relationship between the matrix and the linear transformation is helpful for the study of matrices.
Xinzhu Zhao, Bo Dong, Bo Yu, Yan Yu
doaj   +1 more source

Further generalization of symmetric multiplicity theory to the geometric case over a field

open access: yesSpecial Matrices, 2021
Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric ...
Cinzori Isaac   +3 more
doaj   +1 more source

The Square of Some Generalized Hamming Graphs

open access: yesMathematics, 2023
In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete graphs.
Yipeng Li, Jing Zhang, Meili Wang
doaj   +1 more source

On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type [PDF]

open access: yes, 2012
Large H-selfadjoint random matrices are considered. The matrix $H$ is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonpositive type.
Wojtylak, Michal
core   +1 more source

Eigenvalue Attraction [PDF]

open access: yes, 2015
We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and ...
Movassagh, Ramis
core   +2 more sources

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