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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals
光子晶体 线性非线性特征值问题 近似 计算
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2023/5/15
In this talk, we discuss the approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals. We discretize the shifted Maxwell operator with edge finite elements a...
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
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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...
三亚国际数学论坛：Eigenvalue Problems:Theory,Approximation,and Applications
三亚国际数学论坛 Eigenvalue Problems Theory Approximation Applications
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2017/7/3
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...
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
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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
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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...
Generalized Eigenvalue Problems with Prespecified Eigenvalues
Pencils eigenvalues optimization of singular values inverse eigenvalue
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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...
A SMALLEST SINGULAR VALUE METHOD FOR SOLVING INVERSE EIGENVALUE PROBLEMS
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2007/12/11
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...
Local and Parallel Finite Element Algorithms for Eigenvalue Problems
Eigenvalue finite element local algorithm
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2007/12/11
Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is re...