矩阵函数

By using generalized projection matrix, conditions are given on the scalars in the three term-memory gradient direction to ensure that the three term-memory gradient projection direction is a descent direction. A new three term-memory gradient projection method for nonlinear programming with nonlinear equality and in-equality constraints is presented.

利用广义投影矩阵，对求解无约束规划的三项记忆梯度算法中的参数给一条件，确定它们的取值范围，以保证得到目标函数的三项记忆梯度广义投影下降方向，建立了求解非线性等式和不等式约束优化问题的三项记忆梯度广义投影算法，并证明了算法的收敛性。

During the iterations the trial step is truncated when necessary in order to keep the strict feasibility of the iteration points. It is shown that the LMTI approach and the STI approach have global convergence properties under some reasonable assumptions and will achieve local quadratic convergence rate under some even stronger conditions.

LMTI方法主要利用由有限内存BFGS公式的紧致形式获取的目标函数海色阵的近似矩阵构造信赖域问题模型并对其进行求解；而STI方法在构造的低维子空间上求信赖域子问题的解。

It exploits the structured of the Hessian matrix of the objective function sufficiently. An attractive property of the structured BFGS method is its local superlinear/quadratic convergence property for the nonzero/zero residual problems.

它们充分利用了目标函数的Hesse矩阵的结构以提高算法的效率，该算法的显著优点是对于零残量问题具有二阶收敛性而对于非零残量问题具有超线性收敛性。

Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.

中等代数（ 15 ％）。这方面的考试内容包括理解二次公式，有理式及根式，绝对值方程和不等式，序列，方程组，二次不等式，函数，建模，矩阵，多项式的根以及复数。

This paper presents a numerical method for solving the radial Dirac equations by virtue of the analogy between the large component of relativistic radial wave functions and non-relativistic ones.

1引言多电子原子结构理论是非常复杂的，主要表现在全反对称耦合基函数的构造及其相关矩阵元的计算上[1]。

Through establishment different rank membership function, builds judgment matrix and uses fuzzy analytic hierarchy process to draw up the weight considering affects of different parameter in judgment.

本文采用模糊分布法构造基本因素对应不同等级的隶属函数，建立了评判矩阵；并根据不同因素在评判中所起的作用，使用模糊层次分析法确定了相应的权重；运用M？

Our study shows that it is a good choice to apply generalized rational parametric curve to interpolate and fit unorganized data, because it provides higher numerical stability by appropriately adjusting the support of basis functions.

最后应用广义有理参数曲线对散乱数据进行插值拟合，它可以通过调整基函数的支撑域来优化方程的系数矩阵，因此提供了更高的数值稳定性。

The method first makes the decision uniform based on fuzzy reciprocal judgement matrix by using a translation function and an objective programming model, an...

该法首先基于模糊互反判断矩阵，利用转换函数将决策信息一致化，建立了一个目标规划模型，通过求解该模型确定属性的权重，然后运用加性加权法求出各方案的模糊综合属性值，并利用已有的三角模糊数排序公式求得决策方案的排序。

The dissertation gives a brief description about the developing situation and control theory of robot firstly, and then the underlying idea and characteristic of CTC are introduced in detail. Subsequently three classes of control strategies with compensation control structure which are based on CTC are proposed. The overall idea is that the system of robotic manipulators is decomposed as two parts: one is nominal system with perfect knowledge of dynamic model and the other is system with uncertainties. CTC is used to control nominal system. For uncertainties system, we utilize the regressor of robotic system or bounding function on uncertainties to design different compensation controllers. The outputs of the two parts control the robotic

本论文首先介绍机器人的发展概论概况，然后对计算力矩控制算法的基本思想和主要特点作详细的阐述，紧接着探讨基于计算力矩结构不确定性机器人的补偿控制方案，其中的基本思想都是将不确定性机器人系统分解成标称系统和不确定系统：对于标称系统，采用计算力矩控制；对于不确定系统，利用机器人系统的回归矩阵或集中不确定性上界的包络函数，设计不同的补偿控制器。

Here, we chose simple polynomials as shape functions, and derive the element matrice on the regular element (a isosceles triangle with a right angle).

这里选取逐渐升幂的简单多项式作为基底函数，并且据此推导了升到六阶的正规单元矩阵。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。