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2017年特征值问题的理论，计算和应用研讨会（Eigenvalue Problems:Theory,Approximation and Applications）
2017年 特征值问题的理论，计算和应用 研讨会
2017/11/24
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...
Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem
Symmetric Indefinite Eigenvalue Gradient Optical Fiber Design
2013/1/30
When trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell’s equation, numerical differentiation is ineffective and analytic gradients must be supplied. In ou...
A Type of Multigrid Method for Eigenvalue Problem
Eigenvalue problem multigrid multi-level correction finiteelement method
2012/8/10
In this paper, a new type of iteration method is proposed to solve eigenvalue
problem by finite element method. With this new scheme, solving
eigenvalue problem is transformed to solving a series of...
Numerical Approximations of A Nonlinear Eigenvalue Problem and Applications to A Density Functional Model
Eigenvalue Galerkin discretization nonlinear numerical approximation density func- tional orbital-free
2012/8/10
In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider
applications to a density functional model. We prove the convergence of numerical approximations.
In p...
A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations
Eigenvalue 痭 ite element higher order local computation
2012/8/8
Based on some coupled discretizations, a local computational scheme is proposed
and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its
e眂iency is proven b...
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
Nonlinear Eigenvalue Problem Derivatives of Matrix Determinant Numerical Algorithm of Alternate Approximations
2013/1/30
In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the conv...
A Multi-level Correction Scheme for Eigenvalue Problems
Eigenvalue problem multi-level correction scheme finite element method multi-space multi-grid
2011/8/23
Abstract: In this paper, a new type of multi-level correction scheme is proposed for solving eigenvalue problems by finite element method. With this new scheme, the accuracy of eigenpair approximation...
Smallest eigenvalue distributions for $\beta$-Jacobi ensembles
Smallest eigenvalue distributions $\beta$-Jacobi ensembles
2010/12/10
We compute the exact and limiting smallest eigenvalue distributions for a class of -Jacobi ensembles not covered by previous studies. In the general case, these distributions are given by multivari...
Generalized Eigenvalue Problems with Prespecified Eigenvalues
Pencils eigenvalues optimization of singular values inverse eigenvalue
2010/12/3
We consider the distance from a pencil AB (square or non-square) to the nearest
pencil (A + A) B in 2-norm that has the prespeci ed eigenvalues 1; : : : ; ` with
algebraic...
Steklov eigenvalue problem of Helmholtz equation is considered in the
present paper. Steklov eigenvalue problem is reduced to a new
variational formula on the boundary of a given domain, in which th...
A MULTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR ELLIPTIC EIGENVALUE PROBLEM
Finite element multi-parameter error expansion parallel algorithm splitting extrapolation
2007/12/12
The finite element solutions of elliptic eigenvalue equations are shown
to have a multi-parameter asymptotic error expansion. Based on this
expansion and a splitting extrapolation technique, a paral...
Utilizing the properties of the smallest singular value of a matrix,we propose a new, efficient and reliable algorithm for solvingnonsymmetric matrix inverse eigenvalue problems, and compare it with a...