查询词典 jacobian method of eigenvalue problem

Thisproblem is changed into the matrix approximation problem with matrix inequalities.Further, it is changed into the generalized eigenvalue problem with linear matrix in-equalities. In addition linear state feedback controller is designed.

先将最优控制问题转化为具有矩阵不等式约束的矩阵逼近问题，又转化为具有线性矩阵不等式约束的矩阵广义特征值最小化问题，从而设计了相应系统的线性状态反馈控制器。

And the sufficient and necessary conditions are obtained and the uniqueness of T is discussed and an algorithm for solving the inverse problem is provided. The other kind of structure inverse eigenvalue problem is for unitary Hessenberg matrices with positive subdiagonal elements. That is, a unitary Hessenberg matrices with positive sub-diagonal elements can be constructed when its eigenvalues and the eigenvalues of H_(11) and H_(22) are known. Here H_(11) and H_(22) are rank-one modifications of k × k leading principal submatrix of H and of its × remain submatrix respectively. In the end, the uniqueness of H and an algorithm is obtained.

文中首先讨论了这三组特征值之间的交错关系，接着确定了该逆问题有解的充要条件，并论证了其解的唯一性问题，最后给出了相应的数值算法；本文第二个问题解决的是一类不可约的酉Hessenberg阵的逆特征值问题：即一个不可约的酉Hessenberg阵可以由它的特征值、它的前k阶秩一修正的顺序主子阵的特征值以及它的后n—k阶余子阵的秩一修正阵的特征值来确定，文中最后讨论了唯一性和相应的算法。

In order to improve the HCC speed of realization, the fast problem of implementation which are connected with basis operation on the finite field and the jacobian group is studied, and the corresponding algorithms are presents in this paper.

为提高系统的实现速度，作者主要研究了有限域和Jacobian群中基本运算的快速实现问题，在参考大量有关文献的基础上，分别给出这些运算的有效实现算法，并在系统中予以实现。

In 1989, Neal Koblitz proposed the hyperelliptic curve cryptosystems as a natural generalization of ECC. HCC is based on the discrete logarithm problem on the Jacobian of hyperelliptic curves over finite fields.

作为椭圆曲线的一个推广，Neal Koblitz在1989年提出了超椭圆曲线密码体制，它是基于有限域上超椭圆曲线的Jacobian上的离散对数问题。D。

While r is continued, the eigenvalues of Jacobian of problem (0-1) are monitored.

于是我们可以找到尽可能多的具有不同对称性质的变号解。

The key problem of this model is to acquire injecting power actual utilization rates. A pseudo load variable to balance network losses and to construct its corresponding Jacobian matrix is introduced. In the solution power flow process, injecting power actual utilization rates of each generation could be easy obtained with solving the n step transposed matrix.

该模型核心是上网电能实际利用率的计算，以直流潮流为基础，引入虚拟网损负荷变量并构造出带有松弛负荷变量的有功不平衡方程雅可比矩阵，一次求解n阶矩阵的转置矩阵，获得各发电机组的上网电能实际利用率。

By using the transfer matrix method of multibody system, the hard problem of computation of the vibration characteristics of LRMLRS coupled with rigid bodies and elastic bodies is solved which is very difficult to the ordinary dynamic methods, and the vibration characteristics of LRMLRS which is varied when the number of rockets in the launch device is varied, is obtained conveniently. By developing augmented eigenvectors of the LRMLRS and its orthogonality conditions, the nonorthogonality problem of the multibody system including rigid bodies and elastic bodies is solved and the exact analysis of the dynamics response of the LRMLRS including rigid bodies and elastic bodies is realized. By using the random integer programming method, the hard optimization problem which contains continuous variables, discrete variables and random variables at the same time is solved. This method provides a technology for optimum design with random variables and discrete variables. The dynamic optimum design is realized to decrease the number of rockets consumption in the LRMLRS test. The simulation system of dispersion of fire is established by using the maximum entropy method to estimate dispersion of fire.

通过应用多体系统传递矩阵法，解决了刚弹耦合远程多管火箭多体系统振动特性这一通常力学方法不便于解决的计算难题，方便地获得了远程多管火箭振动特性及其随发射架上火箭弹个数变化而变化的情况；通过构造增广特征矢量及其正交性条件，解决了刚弹耦合多体系统特征矢量不具有通常意义下的正交性的难题，实现了对刚弹耦合远程多管火箭动力响应的精确分析；应用随机整数规划法，解决了同时考虑连续、离散和随机变量等多种设计变量的优化设计难题，为含随机和离散变量的优化设计提供了手段，实现了减少远程多管火箭试验用弹量的动态优化设计；建立了应用最大熵法估计的密集度仿真系统，优化射序和射击间隔，实现了提高远程多管火箭射击密集度的动态优化。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

Uses the biggest strength training method (80%～100% biggest strength) adding 30% biggest strength load training method; the load combination method to make the acclivity to lie pushes the barbell training, good in uses; the biggest strength training method to the upper limb shot fast strength training effect (80%～100% biggest strength) adding the unarmed quickest speed training method and the biggest strength training method (80%～100% biggest strength) adding 60% biggest strength shoulders the training method the load combination method.

用"最大力量训练(80％～100％最大力量)+30％最大力量负荷最快速度训练法"负荷组合方法做上斜卧推杠铃训练，对推铅球上肢快速力量的训练效果好于用"最大力量(训练80％～100％最大力量)+徒手最快速度训练法"与"最大力量训练(80％～1 00％最大力量)+60％最大力量负荷最快速度训练法"负荷组合方法。

That's what makes this mod unique.

这也正是这个MOD独特。

I now feel furious and want to do something.

现在我觉得非常气愤，想做点什么。