英语释义

1. a scalar associated with a given linear transformation of a vector space and having the property that there is some nonzero vector which when multiplied by the scalar is equal to the vector obtained by letting the transformation operate on the vector especially a root of the characteristic equation of a matrix

片语

zero eigenvalue零特征值

Maximized Eigenvalue最大特性根

simple eigenvalue[数] 简单本征值

distinguished eigenvalue[数]

proper value[数] 本征值；固有值；[数] 特征值

continuous eigenvalue连续本盏

generalized eigenvalue[数] 广义特征值

characteristic value[数] 特征值，特性值

reactivity eigenvalue反应性本盏

Negative Eigenvalue负特征值

semisimple eigenvalue半单本征值

英汉例句

• this paper indicated that the sequence of approximate value of eigenvalue is monotone convergent in the iteration process of matrix iteration method. and also gave examples.

  本文指出，在矩阵迭代法的迭代过程中，特征值近似值序列是单调收敛的，并给出计算实例。

• then, a transverse scattering matrix approach based on mode matching technique is used to analyze the eigenvalue problem of microstrip guiding wave structures.

  然后，采用一种基于模匹配过程的横向散射矩阵方法，系统分析了微带导波结构的特征值问题。

• as tree is an easy and special graph, the study of its eigenvalue can help understand some algebra nature of spectrum.

  树作为一类简单而特殊的图，对它的特征值的研究能帮助了解谱的一些代数性质。

• the pulsate pressure in high speed flow water will influence the safety of water construction, and the eigenvalue of the pulsate pressure should be confirmed by hydraulic model testing.

  高速水流中的水流脉动对水工建筑物的安全运行存在很大的影响，水流脉动压强的特征值一般需通过水工模型试验确定。

• in the theoretical research of the dielectric eigenvalue problem, stress is emphasized on the longitudinal characteristic modes in two-dimensionally periodic dielectric.

  在介质本征值问题的理论研究中，重点研究二维周期介质纵向导波问题。

• in this paper, two kinds of structure inverse eigenvalue problems are discussed.

  本文主要讨论了两类结构矩阵的逆特征值问题。

• finally, we simply talk about the application and development of inverse eigenvalue problem.

  最后，浅谈了矩阵逆特征值问题的应用。

• in this paper a method is presented for solving non-linear eigenvalue problems.

  对非线性特征值的求介本文提出了一种方法。

• perturbation calculation in reactor physics requires the neutron adjoint eigenvalue equation.

  在反应堆物理计算中，扰动计算需要中子本征值方程的共轭方程。

• in some cases, some local eigenvalue of the standard data could confirm the position.

  有时由局部的标準特征也可以确定被测件的位置。

• in this paper, the conventional eigenvalue sensitivity analysis has been extended to sensitivities to both means and variances of eigenvalues.

  文中将传统的特征根灵敏度分析方法扩展为对特征根均值的灵敏度和方差的灵敏度。

• the present method is applicable to complex eigenvalue problems of non-conservative rods with internal elastic supports and complicated boundary conditions.

  此外，该方法还能求解复杂边界条件下具有多个弹性支承的非保守弹性桿的复特征值问题。

• methods the matrix transformation method and matrix eigenvalue analysis method.

  方法矩阵变换与矩阵特征值分析方法。

• regarding the boundary shape of elastic structures as random variables, stochastic equations and boundary conditions that govern eigenvalue problems are set up.

  将平面连续弹性体的几何边界形状考虑为随机量，建立了描述这种连续体特征值问题的随机微分方程和边界条件。

• because calculation of eigenvalue decomposition is not needed and only single snapshot data is used, the presented method is more applicable to real time tracking of locally scattered source.

  该方法给出了参数估计的闭式解，无需计算样本协方差矩阵或数据矩阵的特征分解，具有简单快速的优点。

• kinetic shear alfvn modes in tokamak plasmas (with or without temperature gradient) in the full gyrokinetic limit are numerically investigated by using the integral eigenvalue equations.

  用积分本征模方程研究了在托卡马克等离子体中包含全部动力学效应的动力剪切阿尔芬波模（无论是否存在温度梯度） 。

• the results from time-domain simulation and eigenvalue analysis prove that the proposed controller can provide good damping effect so far as to different time lags.

  时域仿真和特征值分析结果均证明该控制器具有的良好阻尼效果，在不同的时滞下仍然可以很好地提供阻尼。

• the calculation of eigenvalue problem is one of the basic topics of scientific computing.

  特征值问题的计算方法是科学计算基本论题之一。

• the exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.

  本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解。

• matrix iteration method can be employed to figure out the first eigenvalue and eigenvector of a matrix.

  矩阵迭代法是求矩阵的第一阶特征值与特征向量的一种数值方法。

• the eigenvalue of covariance matrix can be used to separate signal from noise.

  利用协方差矩阵的特征值。能实现信号和噪声的分解。

• parallel computation for the nonsymmetric generalized eigenvalue problem is one of the fundamental problems in large scale engineering computation.

  非对称矩阵广义特征值问题的并行计算是大规模工程计算中的基础问题之一。

• we can not say for certain which eigenvalue will be obtained .

  我们不能说一定得到哪个本征值。