函数矩阵

An modified BFGS algorithm to solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

Based on this reformulation, we first give the conditions under which the stationary point of unconstrained optimization problem is a solution of GNCP, and then give the conditions under which Hessian matrix of vector-valued function is nonsingular.

基于此转化形式，我们首先研究优化问题的稳定点为GNCP问题解的充分条件，然后建立无约束优化问题的向量价值函数的Hessian矩阵非奇异的充分条件。

An modified BFGS algorithm o solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

It is shown that the Hessian matrix and the density of states can be obtained reasonably using the equivalent Coulomb potential in the form of the complementary error function.

计算实践表明，取用余误差函数形式的等效库仑势，可以合理地得到Hessian矩阵和态密度。

Most of them involves solving the gradient and Hessian of the object function, usually by means of symbolic differentiation.

它们大都涉及求解函数的梯度和海森矩阵，通常使用的计算方法是符号微分和差分近似。

2The matrix elements of the equation is obtained in the form of general formulaby cautions deduction using spinor formula,together with identical transformation andintegral formula related to FG.

运用诸旋量计算公式和含G函数的恒等变换、积分公式，经过细致的推导，以通项公式形式给出该一维积分方程相应于〓态的诸矩阵元。

While the cooperative co-evolution is executed in a sub-domain, a matrix of environmental impact is introduced to map other sub-domains' influence information to the fitness evaluation function in this sub-domain, to achieve the global optimization of population evolution.

在子问题域进行合作协进化时，在适应度函数中引入环境因子影响矩阵，将其他子问题域的影响信息映射到该子问题域中的个体适应度评估中，从而引导种群向全局优化方向进化。

In the case of inapplicability of hammering excitation to the arm of industrial robot for extracting its dynamic characteristics,according to the Duharmal integral theory and applying the specific upper triangle construction of input matrix of system as well as the technique of time average ,an efficient de-noising average recursive algorithm is presented in this paper.

针对锤击激励方式不适用于工业机器人操作臂动态性能测试的情况，根据Duharm a l积分理论，利用系统输入矩阵的上三角形的特殊结构，并结合时域平均技术，导出了具有抗噪性能的高效的求取系统脉冲响应函数的平均递推算法。

However the calculation of invariants for coloured Petri nets is a hard work because the elements of coloured incidence matrix are not integers, but functions instead.

但是，着色Petri网的不变量求解却是一项非常困难的工作，因为它的关联矩阵的元素不再是整数而是函数。

With the transfer function. it is straightforward to construct the incidence matrix M. Then α〓, the number of K-strings in L, can be obtained by simply summing over a specific row of M〓.

有了转移函数就可以直接计算关联矩阵M，而L中允许的K-串个数α〓可以通过对M〓的某一行求和得到。

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。