Eigenvalue problem and the k-shifted formulation
quasilinear eigenvalue problem
... where is a bounded domain, p > 1 is a real number and a ( x u ), b ( x u ) satisfy appropriate growth conditions. Moreover, the coecient a ( x u ) contains a degeneration or a singularity. We work in a suitable ...
27
The Eigenvalue Problem and Power method
... The goal of this paper is to study iterative methods for solving the eigenvalue problem with an emphasis on the power method, the inverse power method and the shifted inverse power method. In the ...
20
THE PROBLEM OF OBSTACLE FOR THE FUNDAMENTAL EIGENVALUE
... 2 Faculty of Science and Arts at Al Qurayat Jouf University, Kingdom of SAUDI ARABIA Abstract: By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian ...
14
Parallel symmetric eigenvalue problem solvers
... symmetric eigenvalue problems arise in many computational science and engineering applications: in structural mechanics, nanoelectronics, and spectral re- ordering, for ...
161
An extremal eigenvalue problem in Kähler geometry
... λ k on K¨ahler manifolds as functionals on the space of K¨ahler metrics with cohomologous K¨ahler ...λ k - extremal K¨ahler metric and obtain necessary and sufficient conditions ...
14
Row stochastic inverse eigenvalue problem
... where k = {λ k1 , λ k2 , ..., λ kp k } = {λ k1 , ω k e 2πi/p k , ω k e 4πi/p k , ...ω k e 2(p k −1)πi/p k } (p k is an integer greater than 1), l k1 = ...
5
Symmetric stochastic inverse eigenvalue problem
... inverse eigenvalue problem to have a solution and sufficient conditions for the symmetric stochastic inverse eigenvalue problem to have a ...inverse eigenvalue problem and the ...
17
Eigenvalue problem of Hamiltonian operator matrices
... The method of separation of variables, also known as the Fourier method, is one of the most effective tools in analytically solving the problems from mathematical physics. This method will lead to the eigenvalue ...
13
Aeroelastic flutter as a multiparameter eigenvalue problem
... the problem to have any defined matrix structure, and it can handle systems with point discontinuities, poles, or even large areas where the matrix function is not ...this problem – for example, normalising ...
210
The real linear eigenvalue problem in Cn
... We can conclude that the spectrum of a real linear circulant operator consists of circles and is computable in a closed form. 4. Computational techniques for finding eigenvalues of an R-linear operator In this section we ...
31
Hybrid Deterministic/Monte Carlo Methods for Solving the Neutron Transport Equation and k-Eigenvalue Problem.
... fixed-source problem, we turned our attention to solving the k-eigenvalue ...the eigenvalue problem by turning to moment-based ...low-order problem that exists only in a reduced ...
222
Formulation of the problem
... However, Web-culture, as a part of the corporate culture of the company, which determines the specificity of its activity in the virtual environment and creates a favorable innovation environment is investigated in a few ...
9
A Note on Convex Relaxations for the Inverse Eigenvalue Problem
... inverse eigenvalue problem consists of identifying a real symmetric matrix with a prescribed set of eigenvalues in an affine ...the problem by reformulating it as a question of checking feasibility ...
10
A fully parallel method for tridiagonal eigenvalue problem
... In this paper, we shall present a parallel homotopy method for finding all the eigenvalues or all eigenpairs of a matrix pencil (A,B), where A and B are both real symmetric tridiagonal a[r] ...
12
The eigenvalue problem for the p Laplacian like equations
... the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du| p )|Du| p−2 Du) = λf (x,u) in Ω, u = 0 on ∂Ω, where Ω ⊂ R n is a bounded smooth ...
12
Integrability of the Reduction Fourth-Order Eigenvalue Problem
... By means of the viewpoint of Hamilton mechanics, the Euler-Lagrange function and the Legendre transformations have been derived, and a reasonable Jacobi-Ostrogradsky coordinate system has been found. Then, the ...
8
A spectral method for the eigenvalue problem for elliptic equations
... the eigenvalue problem for (1.1), (1.2) and (1.1), (1.3). We note, again, that our work applies only to regions Ω with a boundary ∂Ω that is smooth. There is a large literature on spectral methods for ...
27
Generalised Eigenvalue Problem and Definite Matrix Pairs
... ordinary eigenvalue problem for a given matrix is defined, as well as the terms of eigenvalues, eigenvectors and characteristic poly- nomial of ...generalized eigenvalue problem for matrix ...
18
A Note on Convex Relaxations for the Inverse Eigenvalue Problem
... inverse eigenvalue problem consists of identifying a real symmetric matrix with a prescribed set of eigenvalues in an affine ...the problem by reformulating it as a question of checking feasibility ...
10
Finite Element Approximation for the Fractional Eigenvalue Problem
... λ (k) h = λ (k) + Ch α . This allows to extrapolate approximations of the eigenvalues as well (in the tables we denote this extrapolated value of λ (k) as λ (k) ext ). Throughout this section, ...
23