查询词典 iterative method for eigenvalue problems

Mode matching method and expanded boundary condition method used in eigenvalue problem are also investigated.

其次讨论模式匹配法和扩展边界条件法，与边界积分方程法比较，它们用于分析多个目标有其优越性。

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。

This method combines the advantages of the QR eigenvalue algorithm and the Prony method. And

了QR特征值分析算法和Prony分析方法的优势，可以很容易在现有程序中实现。

To explain the computable of correlated noise attenuation by wavelet analysis; to give adaptive wavelet shrinkage algorithm on basis of threshold. We discuss three thresholds'choice; namely eigenvalue, unbiased risk estimator and hitograph method. We give comesponding experiments'analysis and comparison. It shows that our method is reliable.

阐述了小波分析去相关噪声的可行性；给出了基于阀值的自适应小波收缩法，讨论了三种阀值的选取；论述了特征值法，无偏的风险估计与直方图法，给出了相应的实验分析与比较，说明了该方法是可行的。

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。

Schur-Rayleigh-Ritz accelerated subspace iteration method: Schur-Rayleigh-Ritz accelerated subspace iteration method was applied to the gyroscopic eigenvalue problem.

2Schur-Rayleigh-Ritz加速的子空间迭代法将Schur-Rayleigh-Ritz加速的子空间迭代法应用于陀螺特征值问题。

Time-Frequency analysis method is applied to the analysis of PEC signals with the aim of discriminating the occurrence of corrosion from the simultaneous variations of lift-off, smoothed pseudo Wigner-Ville distribution is used to get the signal spectrum map. The method of extracting the lowest energy area as the classification eigenvalue is proposed, and a good classification result is acquired.

采用时频分析的方法对同时出现腐蚀缺陷和提离变化的情况进行了识别，利用平滑的伪Wigner-Ville分布得到了信号的谱图，提出了提取谱图中最低能量区域面积作为特征量进行识别的方法，取得了较好的识别效果。

In this paper, we used the regularization method and the best disturbed iteration to solve such more extensive equations: every kind of positive problems and inverse problems of the hyperbolic partial differential equation and parabolic equation. We give homologous methods to solve the positive problems and inverse problems of nonlinear Burgers equation and Boussinesq equation.

本文应用正则化方法和最佳摄动量法，解决了一类更广泛的双曲型和抛物型偏微分方程的各类正问题及反问题，对非线性的Burgers方程及Boussinesq方程的正问题及反问题，也给出了相应的求解方法。

There is no good method to solve such problems. T method is proposed to solve problems, the method is a simple but quite efficient approximate method.

提出的t方法是一个简单同时又效率很高的近似方法，能够很好地解决这类问题。

Based on the higher mathematics method proved inequalities are summarized, and the proposed using the function extreme value and the monotonicity and concave and convex function sex, and mean value theorem, Taylor formula, integral these common higher mathematics method, combining with concrete examples of each kind of method to solve the problems for type, and the key problem of the specific steps, and points out that the inequality proof of higher mathematics method used properly, improve the difficult easy to ability to solve problems.

本文对不等式证明中的高等数学方法作了归纳总结，提出了利用函数的单调性，极值与最值，函数凹凸性，中值定理，泰勒公式，积分这些常用的高等数学方法，并结合具体实例阐述了每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，指出在不等式证明中恰当地运用高等数学方法可以化难为易，提高解题能力。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。