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gradient
相关语句
  梯度
    Research on the Super-Memory Methods and GLP Gradient Projection Method for Non-Linear Programming
    非线性最优化超记忆梯度算法与GLP梯度投影算法研究
短句来源
    Nonlinear Conjugate Gradient Methods for Optimization Problems
    求解最优化问题的非线性共轭梯度
短句来源
    A CONJUGATE GRADIENT ALGORITHM WITH IMPLEMENTATION ERRORS
    具有实现误差的共轭梯度算法
短句来源
    ON THE CONVERGENCE CONDITION OFTHE GRADIENT PROJECTION METHOD
    关于梯度投影法的收敛条件
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    THE GRADIENT PROJECTION DESCENT ALGORITHMS
    梯度投影下降算法
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  “gradient”译为未确定词的双语例句
    ADI Preconditioning of Conjugate Gradient Method
    共轭斜量法的ADI预优化
短句来源
    Finite Element Solution for Strongly Monotone Operator Equations(Gradient Type)
    强单调算子方程(位势型)有限元
短句来源
    A NONLINEAR PRECONDITIONED CONJUGATE GRADIENT METHOD
    非线性预处理共轭斜量法
短句来源
    MAXIMUM PRINCIPLES AND GRADIENT BOUNDS FOR INHOMOGENEOUS LINEAR ELLIPTIC EQUATIONS
    非齐次线性椭圆型方程的极大值原理及其应用
短句来源
    OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD
    OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD
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  gradient
A convexity theorem for noncommutative gradient flows
      
In this survey we shall prove a convexity theorem for gradient actions of reductive Lie groups on Riemannian symmetric spaces.
      
In the final section the theorem is applied to gradient actions on other homogeneous spaces and we show, that Hilgert's Convexity Theorem for moment maps can be derived from the results.
      
We observe that our methods clearly show that the restriction p>amp;gt;2n/n+1 is closely related to cancellation and size properties of the gradient of the Poisson kernel.
      
A new generalized gradient projection type algorithm for linearly constrained problems
      
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The basic equation for prediction is used,that is the baratropic vorticity equation and balance epuae tion.And stream function is introduced into these equation on the assumption of nondivergent. A system of equation for prediction is obtained on the following method:the typhoon field is divided into two parts,that is,the circular symmetric field.With respect to the center of the typhoon and the residual general field.And two halance equations and two vorticity equations corresponding to these field are solved...

The basic equation for prediction is used,that is the baratropic vorticity equation and balance epuae tion.And stream function is introduced into these equation on the assumption of nondivergent. A system of equation for prediction is obtained on the following method:the typhoon field is divided into two parts,that is,the circular symmetric field.With respect to the center of the typhoon and the residual general field.And two halance equations and two vorticity equations corresponding to these field are solved respectively.Thus,we get two systems of equations corresponding to two field,that is, (?) Where ▽=the horizontal gradient operator, J(A, B)=Jacobian determinant of A and B. The system of equations(Ⅰ)is solved by Adem’s method.And system of equations is solved by aumerical method.

预告所用的基本方程是正压涡度方程和平衡方程。且根据无辐散假设把流函数引入了这些方程。预告方程组是根据如下的方法得到的:把台风■分成两部分,即关于台风中心的圆对称■和剩余■。且对相应于这些■的两个平衡方程和两个涡度方程分别求解。于是,我们得到了相应于这两个■的两个方程组,它们是:■此处▽是水平梯度算子。J(A,B)是 A 和 B 的雅可比函数。方程组(Ⅰ)是用 Adem 的方法求解,方程组(Ⅱ)是用数值方法求解。

Two types of optimalizing control systems are analyzed and compared under random interferences.By means of approximation,the expectation values of hunting loss are calculated. In the case of Guassion stationary random interferences,when the interference at the input terminal is stronger than that at the output terminal,the hunting loss of the correlation type optimalizing system is smaller;but when the interference at the input terminal is weaker than that at the output terminal,the hunting loss of the gradient...

Two types of optimalizing control systems are analyzed and compared under random interferences.By means of approximation,the expectation values of hunting loss are calculated. In the case of Guassion stationary random interferences,when the interference at the input terminal is stronger than that at the output terminal,the hunting loss of the correlation type optimalizing system is smaller;but when the interference at the input terminal is weaker than that at the output terminal,the hunting loss of the gradient type optimalizing system is smaller.These results can be used as a guide to choose the searching method in vatious interference levels.

本文利用近似法求出两种极值调节系统在随机干扰影响下搜索损耗的数学期望,因而可以在具体条件下比较两种调节器的优缺点.在正态平稳随机干扰下,相关搜索法对较强的输入端干扰是适宜的;反之,在较弱的输入端干扰时,一般步进搜索法比较有利.计算结果也给出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅.这些都是调节器的重要参数.

Linear search method is fundamental in non- linear optimization algorithms. Its efficiency has direct effection on arithmetical convergence rate, This paper proposes a new linear search method—method of scaling. It uses gradient informations only. This method can be realized easily. Numerical experiments has shown that it is successful in many eases.

一维寻查方法是非线性最优化方法中的一种基本方法,其效果直接影响算法的收敛速度。本文提出一种仅用斜量信息的一维寻查方法——比例因子法,该方法易于实观,计算实践证明效果良好。

 
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