查询词典 jacobian method of eigenvalue problem

First of all, a system of linearized equations was set up with respect to an atmosphere at rest, and a couple eigenvalue-eigenfunction problem was formulated, which consists of horizontal and vertical structure equations with suitable boundary conditions.

首先，建立了静止大气状态下模式的线性化系统，并在适当的边界条件下将线性化系统分解成具有垂直与水平结构方程的本征值、本征函数耦合问题。

Firstly, an inverse eigenvalue problem for Jacobi matrices is presented: we could construct the Jacobi matrix T if we know the spectral data: the eigenvalues of T and the eigenvalues of T_1 and of T_2, where T_1 is different to the k × k leading principal submatrix of T only at the position, while T_2 is different to the × remain submatrix only at the (1, 1) position.

首先给出的是一类Jacobi阵的逆特征值问题，即给定三组实数：一组是Jacobi阵的n个特征值，一组是只修改了最后一个对角元的它的前k阶顺序主子阵的特征值，最后一组是修改了第一个对角元的后n—k阶余子阵的特征值，用这些给定的特征值来确定相应的Jacobi矩阵。

Based on a 2×2 eigenvalue problem, a 3×3 Lenard pair of operators and a new 1+1 dimensional soliton hierarchy are presented.

本文立足于一个2×2谱问题，获得了3×3 Lenard算子对，并由此导出一类非平凡的(1+1)维孤子方程族。

P procedure. In our model, however, we have used a modified subband structure which is actually the solution of the eigenvalue problem in a 4×4 Luttinger-Kohn matrix.

而在我们的模型里面，我们使用了求解4×4 Luttinger-Kohn矩阵的特徵值的方法来得到修正过的次能带结构。

The main idea behind these methods is to take advantage of the known state variables and the theorem of addition for linear system without building up a new Jacobian matrix again. But the equivalent computation of algebraic equation must be performed to get state variables corrections. Accordingly, the speed required to model the contingencies is not fast enough to meet the demand of fast contingency analysis under emergency condition, which is proved by several well-known blackouts caused by flow transferring.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

The examples indicate that the unknow parameters can be estimated faster and more accurately with the proposed objective function and SPSO, the solving procedure relies less on the augmented jacobian matrix, and the mean estimated values are close to the parameter truth values.

仿真算例表明：应用该文修正项和SPSO方法，能快速准确的估计线路参数，并提高参数估计精度和降低对量测系统参数可估计性的要求，估计均值更接近参数真值。

The examples indicate that the unkown line parameters can be estimated faster and more accurately with the proposed objective function and SPSO and the solving procedure relies less on the augmented jacobian matrix.

仿真算例表明：修正目标函数和SPSO算法能快速准确地估计线路参数，且可提高估计准确度和降低对量测系统参数可估计性的要求；取连续多次估计的均值，则可减小量测误差导致的参数估计偏差。

Based on the Jacobian's matrix, the static equations in both Cartesian space and joint space are also derived.

根据机构本身的特点，求出了机构运动学的正、反封闭解及其雅可比矩阵。

The equation for robot system motion in the joint space can then be represented as Cartesian space coordinates based on the Jacobian matrix.

本研究利用图形化的建模方式来下达控制命令，来模拟机械手臂尾端定位之控制，进而运用在即时控制上。

The minimum eigenvalues, which have relation to steady state voltage stability, are studied in the algorithm based on the analysis of structure and characteristic of Jacobian matrix.

该算法对电力系统的潮流模型的雅可比矩阵的结构和特点进行了分析，研究了与静态电压稳定有较大关系的最小特征值、相应的特征向量、最小特征值的灵敏度等。

In the chapter 2, the theoretic knowledge about the photosensitive resin and the grinding tools was firstly introduced.

第二章阐述了光固化树脂结合剂磨具的相关理论研究。

Do not use the program's indenting or margin-setting features; these will be added during typesetting.

不要使用缩排，页面边缘设置之类的选项，偶看不大懂。