Results 21 to 30 of about 7,955 (262)

A new neurodynamic model with Adam optimization method for solving generalized eigenvalue problem [PDF]

open access: yesBig Data and Computing Visions, 2021
In this paper we proposed a new neurodynamic model with recurrent learning process for solving ill-condition Generalized eigenvalue problem (GEP) Ax = lambda Bx. our method is based on recurrent neural networks with customized energy function for finding
Ebrahim Ganjalipour   +3 more
doaj   +1 more source

A global bifurcation result of a Neumann problem with indefinite weight

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
This paper is concerned with the bifurcation result of nonlinear Neumann problem \begin{equation} \left\{\begin{array}{lll} -\Delta_p u=& \lambda m(x)|u|^{p-2}u + f(\lambda,x,u)& \mbox{in} \ \Omega\\ \frac{\partial u}{\partial \nu}\hspace{0.55cm}= & 0 &
Abdelouahed El Khalil, M. Ouanan
doaj   +1 more source

Exponentially Convergent Galerkin Method for Numerical Modeling of Lasing in Microcavities with Piercing Holes

open access: yesAxioms, 2021
The paper investigates an algorithm for the numerical solution of a parametric eigenvalue problem for the Helmholtz equation on the plane specially tailored for the accurate mathematical modeling of lasing modes of microring lasers.
Alexander O. Spiridonov   +4 more
doaj   +1 more source

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We study a generalized inverse eigenvalue problem (GIEP), Ax=λBx, in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries ci>0, and B= diag (b0,b1,…), where bi≠0 for i=0,1,….
Kazem Ghanbari
doaj   +1 more source

A new eigenvalue problem for the difference operator with nonlocal conditions

open access: yesNonlinear Analysis, 2019
In the paper, the spectrum structure of one-dimensional differential operator with nonlocal conditions and of the difference operator, corresponding to it, has been exhaustively investigated.
Mifodijus Sapagovas   +3 more
doaj   +1 more source

Spherical Ruled Surfaces in S3 Characterized by the Spherical Gauss Map

open access: yesMathematics, 2020
The Laplace operator on a Riemannian manifold plays an important role with eigenvalue problems and the spectral theory. Extending such an eigenvalue problem of smooth maps including the Gauss map, the notion of finite-type was introduced.
Young Ho Kim, Sun Mi Jung
doaj   +1 more source

A generalized inverse eigenvalue problem and m-functions [PDF]

open access: yesLinear Algebra and its Applications, 2021
In this manuscript, a generalized inverse eigenvalue problem is considered that involves a linear pencil $(z\mathcal{J}_{[0,n]}-\mathcal{H}_{[0,n]})$ of matrices arising in the theory of rational interpolation and biorthogonal rational functions. In addition to the reconstruction of the Hermitian matrix $\mathcal{H}_{[0,n]}$ with the entries $b_j's ...
openaire   +3 more sources

On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem [PDF]

open access: yesNumerische Mathematik, 2011
The author deals with the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem. First under Hermitian perturbations of a Hermitian definite pair with a nondefective multiple finite eigenvalue, the author provides the condition numbers of this eigenvalue.
openaire   +1 more source

A singular fractional Kelvin–Voigt model involving a nonlinear operator and their convergence properties

open access: yesBoundary Value Problems, 2019
In this paper, we focus on a generalized singular fractional order Kelvin–Voigt model with a nonlinear operator. By using analytic techniques, the uniqueness of solution and an iterative scheme converging to the unique solution are established, which are
Jianxin He   +4 more
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

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