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But the projection used in gradient projection method is an orthogonal projection which does not contain the second derivative information of objective and constrained functions,thus the convergence rate of gradient projection method is not contented.

但是,梯度投影法所采用的投影是正交投影,不包含目标函数和约束函数的二阶导数信息·因而;收敛速度不太令人满意。

This paper discusses the connection of one step or two step right derivative and protruding property of a function.

研究了函数的一阶及二阶右导数与函数凸性的关系,推广了数学分析中的有关结果。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先,对已知集X的子集的σ-代数A的n-折积A^n,定义了伪度量d,给出了相应的特征函数〈h,Is〉;其次,通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义;给出了多目标规划问题的弱有效解概念及的最优性必要条件;最后,分别在目标函数和约束函数的3种较弱凸性条件下,研究n-集函数多目标规划问题的对偶问题,获得了3个弱对偶结果和强对偶结果。

It was found that the pulse distortion can be quite severe depending on frequency, pulse width ,and path length.

应用傅立叶时域积分近似解方法对毫米脉冲波通过雨媒质时的传输特性进行了研究和分析,得出了脉冲畸变随频率、降雨率、脉冲宽度及传播距离的变化关系,讨论了脉冲展宽与压缩随传播常数二阶导数的关系。

Firstly, the existence of Lyapunov function with the quadratic form for linear singular systems is discussed.

然后指出对X的任何正定二次型V,它沿线性广义系统的导数V都不会是X的负定函数。

Every function whose derivative is linear is a quadratic function.

任意一个导数为线性函数的函数都是二次函数。

Based on three-points quadratic interpolation ,an algorithm is provided for solving nonlinear equation.

利用优化技术中的三点二次插值法求解,在不需要计算导数的情况下给出一种具有超线性收敛的迭代算法。

Then, using the second-order central difference to discretize the time derivative of the displacement, and applying the quadrature formula to the mass matrix, a fully discrete lumped mass Morley element method i...

然后利用中心差分格式离散时间方向的二阶导数,再利用适当的求积公式得到薄板弯曲问题的集中质量Morley元全离散格式。

In chapter 1, we briefly introduce the near integrable systems, and give the background in physics and the developments in mathematics for the quintic and derivative nonlinear Schrodinger equations.

具五次和导数项的非线性Schrodinger方程具有广泛的物理应用背景,可视为非线性Schrodinger方程的扰动,进而可作为近可积系统进行较为精细的研究。

The quintic and derivative nonlinear Schrodinger equations has a extensive applications in various physical areas and can be considered the perturbation of the NLS equation. Further they are the near integrable systems.

具五次和导数项的非线性Schrodinger方程具有广泛的物理应用背景,可视为非线性Schrodinger方程的扰动,进而可作为近可积系统进行较为精细的研究。

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