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Eigenvalues, Numerical Ranges, Stability Analysis, and Applications of Number Theory to Computing

机译：特征值，数值范围，稳定性分析及数论在计算中的应用

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Work in the period under review centered principally on the topics: (1) numerical methods for systems of linear equations, (2) the numerical range, including computer routines for its evaluation, (3) inequalities involving matrices, (4) properties of eigenvalues, singular values, and invariant factors, (5) properties of norms and condition numbers on matrices.

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作者
Marcus, M.; Thompson, R. C.; Newman, M.; Goldberg, M.; Minc, H.;
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年度 1982
页码 p.1-42
总页数 42
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Mathematical analysis; Algebra; Eigenvalues; Reports; Abstracts; Numerical analysis; Partial differential equations; Matrices(Mathematics); Value; Linear algebra; Computer applications;

机译：数学分析;代数;特征值;报告;摘要;数值分析;偏微分方程;矩阵（数学）;值;线性代数;计算机应用;

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专利

1. Computing Large-Scale System Eigenvalues Most Sensitive to Parameter Changes, With Applications to Power System Small-Signal Stability [J] . Rommes J., Martins N. IEEE Transactions on Power Systems . 2008,第2期

机译：计算对参数变化最敏感的大规模系统特征值，并将其应用于电力系统小信号稳定性
2. Application of structured singular value theory for robust stability and control analysis in multimachine power systems. II. Numerical simulations and results [J] . Djukanovic M., Khammash M. IEEE Transactions on Power Systems . 1998,第4期

机译：结构奇异值理论在多机动力系统鲁棒稳定性和控制分析中的应用。二。数值模拟和结果
3. Application of structured singular value theory for robuststability and control analysis in multimachine power systems. II.Numerical simulations and results [J] . Djukanovic M., Khammash M., Vittal V. IEEE Transactions on Power Systems . 1998,第4期

机译：结构奇异值理论在多机动力系统鲁棒稳定性和控制分析中的应用。二，数值模拟与结果
4. A Distributed-computing-based Eigenvalue Algorithm for Stability Analysis of Large-scale Power Systems [C] . Xu Zhang, Chen Shen International Conference on Power Systems Technology . 2006

机译：基于分布式计算的大型功率系统稳定性分析的特征值算法
5. NUMERICAL SOLUTIONS OF NON-SELF-ADJOINT EIGENVALUE PROBLEMS ASSOCIATED WITH HEIGHT DEPENDENT EDDY-VISCOSITY AND CONDUCTIVITY MODELS IN STABILITY ANALYSIS FOR ATMOSPHERIC CELLULAR CONVECTION. [D] . TREADWAY, ALEXANDER HAMILTON -1

机译：大气对流稳定性分析中与高度依赖的涡流粘度和电导率模型相关的非自相关特征值问题的数值解。
6. The Numerical Relations in the Crossing over of the Genes with a Critical Examination of the Theory That the Genes Are Arranged in a Linear Series [O] . H. S. Jennings 1923

机译：基因交叉中的数字关系对基因按线性序列排列的理论的严格检验
7. An Algorithm for the Nonlinear Eigenvalue Problem based on the Residue Theorem (Numerical Analysis : Theory, Methods and Applications) [O] . Yamamoto Yusaku 2009

机译：基于残值定理的非线性特征值问题算法（数值分析：理论，方法和应用）
8. Eigenvalues, Numerical Ranges, Stability Analysis, and Applications of Number Theory to Computing. [R] . Marcus, M., Thompson, R. C., Newman, M., 1982

机译：特征值，数值范围，稳定性分析及数论在计算中的应用。

Eigenvalues, Numerical Ranges, Stability Analysis, and Applications of Number Theory to Computing

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