A generalized eigenvalue problem solution for an uncoupled multicomponent system

Diago-Cisneros L; Fernandez-Anaya G; Bonfanti-Escalera G

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A generalized eigenvalue problem solution for an uncoupled multicomponent system

机译：解耦多分量系统的广义特征值问题解

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Meaningful and well-founded physical quantities are convincingly determined by eigenvalue problem solutions emerging from a second-order N-coupled system of differential equations, known as the Sturm-Liouville matrix boundary problem. Via the generalized Schur decomposition procedure and imposing to the multicomponent system to be decoupled, which is a widely accepted remarkable physical situation, we have unambiguously demonstrated a simultaneously triangularizable scenario for (2N x 2N) matrices content in a generalized eigenvalue equation.

机译：有意义的和有充分根据的物理量是由二阶N耦合微分方程组的特征值问题解决方案令人信服地确定的，该系统被称为Sturm-Liouville矩阵边界问题。通过广泛的Schur分解过程，并强加于要被去耦的多组分系统（这是一种广为接受的显着物理情况），我们明确地证明了广义特征值方程中（2N x 2N）矩阵含量的同时三角化的情况。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2008年第3期|共4页
作者
Diago-Cisneros L; Fernandez-Anaya G; Bonfanti-Escalera G;
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正文语种 eng
中图分类物理学;
关键词
SEMICONDUCTOR HETEROSTRUCTURES; HOLES; MICROSTRUCTURES; WELLS;

机译：半导体异质结构;孔;微结构;孔;

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1. A generalized eigenvalue problem solution for an uncoupled multicomponent system [J] . Diago-Cisneros L, Fernandez-Anaya G, Bonfanti-Escalera G Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2008,第3期

机译：解耦多分量系统的广义特征值问题解
2. GENERALIZED SOLUTION OF INTERDIFFUSION PROBLEM - OPTIMAL APPROACH FOR MULTICOMPONENT BOUNDED SYSTEMS [J] . Danielewski M., Filipek R. Journal of Computational Chemistry: Organic, Inorganic, Physical, Biological . 1996,第13期

机译：互扩散问题的广义解-多组分有界系统的最优方法。
3. STATIC OUTPUT FEEDBACK STABILIZATION FOR SISO SYSTEMS AND RELATED PROBLEMS: SOLUTIONS VIA GENERALIZED EIGENVALUES [J] . J. Chen Control Theory & Advanced Technology . 1995,第4Pt5期

机译：SISO系统的静态输出反馈稳定化及相关问题：广义特征值的解决方案
4. Comparison of Computational Generalized and Standard Eigenvalue Solutions of Rotating Systems [C] . Ali Tatar, Loic Salles, Alexander H. Haslam, IMAC Conference and Exposition on Structural Dynamics . 2019

机译：旋转系统的计算广义和标准特征值解决方案的比较
5. Domain Decomposition Algorithms for the Solution of Sparse Symmetric Generalized Eigenvalue Problems [D] . Kalantzis, Vasileios 2018

机译：域分解算法，用于解决稀疏对称广义特征值问题的问题
6. Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p1… pn)-Laplacian Operator [O] . Armin Hadjian, Saleh Shakeri 2013

机译：一类Dirichlet双特征值拟线性椭圆系统的多重解其中（p1…pn）-拉普拉斯算子
7. Nonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domains [O] . Ammar Amine, Cueto Elías, Chinesta Francisco 2012

机译：在演化域中定义的参数非耦合模型的非增量适当广义分解解
8. Equal eigenvalues in multicomponent diffusion: The extraction of diffusion coefficients from experimental data in ternary systems. [R] . Miller, D. G. 1990

机译：多组分扩散中的等特征值：从三元系统中的实验数据中提取扩散系数。

A generalized eigenvalue problem solution for an uncoupled multicomponent system

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