搜索结果: 1-15 共查到“Eigenvalue”相关记录72条 . 查询时间(0.156 秒)
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some estimates on an exterior Steklov eigenvalue problem
外部 斯特克洛夫特征值 估计
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2023/5/9
In this talk we will discuss a Steklov eigenvalue problem on an exterior Euclidean domain. We will present sharp lower and upper bounds for its first eigenvalue under various conditions on the domain....
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...
A Variational Eigenvalue Solver on a Photonic Quantum Processor
Variational Eigenvalue Solver Photonic Quantum Processor
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2016/1/22
Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. For quantum systems, where the physical dimension grows expo-nentially, finding the e...
ON THE DISTRIBUTION OF THE LARGEST EIGENVALUE IN PRINCIPAL COMPONENTS ANALYSIS
LARGEST EIGENVALUE PRINCIPAL COMPONENTS
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2015/8/20
Let x1 denote the square of the largest singular value of an n × p
matrix X, all of whose entries are independent standard Gaussian varates. Equivalently, x1 is the largest principal component vari...
Solving interpolation problems via generalized eigenvalue minimization
Generalized eigenvalue interpolation control system the analysis of linear matrix inequality
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2015/8/12
A number of problems in the analysis and design of control systems may be reformulated as the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affi...
Solving interpolation problems via generalized eigenvalue minimization
Solving interpolation problems generalized eigenvalue minimization
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2015/7/13
A number of problems in the analysis and design of control systems may be reformulated as the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affi...
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
Sturm-Liouville eigenvalue applications n-body problem
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2015/3/18
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
Accelerated solution of the frequency-domain Maxwell’s equations by engineering the eigenvalue distribution of the operator
Numerical approximation analysis Mathematical methods physics Mathematics
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2015/8/7
We introduce a simple method to accelerate the convergence of iterative solvers of the frequency-domain Maxwell’s equations for deep-subwavelength structures. Using the continuity equation, the method...
Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem
Symmetric Indefinite Eigenvalue Gradient Optical Fiber Design
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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...
Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy-Widom distribution
Random Matrix Theory characteristic roots largest eigenvalue Tracy-Widom Distribution Wishart Matrices Gaussian Orthogonal Ensemble
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2012/11/23
We derive the exact distribution of the largest eigenvalue for finite dimensions real Wishart matrices and for the Gaussian Orthogonal Ensemble (GOE). We compare the exact distribution with the Tracy-...
A Type of Multigrid Method for Eigenvalue Problem
Eigenvalue problem multigrid multi-level correction finiteelement method
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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
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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
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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...