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minimizer
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  极小
     When considered on a bounded domain G, in the following functional of vector valued functional ∫ Gf(|u| 2)dx, u∈[W 1,p (G)] N,11, the minimizer of the functional has H¨older continuous first gradient interior to G under a weaker condition.
     在有界区域 G上考虑泛函∫Gf (| u|2 ) dx,u∈ [W1,p(G) ]N,1

1在较弱的条件下 ,泛函极小有在 G内处处 H¨older连续的一阶梯度。

短句来源
     C~(1,α) Convergence of a Radial Minimizer of p-Energy Functional
     一类p-能量泛函径向极小元的C~(1,α)收敛性
短句来源
     The Minimizer of a Certain Functional in Newton Space Belongs to the De Giorgi Class
     Newton空间中某类泛函极小属于De Giorgi类
短句来源
     Compared with the concept of the auxiliary function methods represented by the filled function method(FFM),the concept of the CFM shows the objective to construct the auxiliary functions more clearly,moreover,CFM can cross the higher region within one iteration and directly achieve the local minimizer of the previous function f(x) located in the lower region,and the global minimizer is found after iterations.
     与以填充函数法为代表的一类全局优化方法相比,跨越函数法直接凸显了在求解全局优化问题时构造辅助函数的目的,并能仅通过一次迭代跨越函数值比当前局部极小值高的区域,而直接找到原函数f(x)的位于函数值比当前局部极小值低的区域中的局部极小点,通过有限次迭代,找到全局最优解.
短句来源
     The author discusses the uniqueness and the asymptotics of the radial minimizer of the Ginzburg-Landau functional with non-S1 Dirichlet boundary data.
     作者研究了具非S1值边界条件的Ginzburg-Landau泛函的径向极小元的唯—性, 收敛性.
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  “minimizer”译为未确定词的双语例句
     The main results are as the follows:(1) suppose x *∈S is a minimizer of the problem (NSP), then there exist λ i∈R , such that 0∈ γ(f+∑mi=1λ ig i)(x *),∑mi=1λ ig i(x *)=0,and λ i ≥0, i =1,2,…, m .
     主要结果有:如果 x ∈ S 是( N S P) 的最优解,那么存在 λi ∈ R 使0 ∈γ( f + ∑mi = 1 λigi)( x ) ,∑mi = 1 λigi( x ) = 0 ,λi ≥0 。
短句来源
     RADIAL MINIMIZER OF GINZBURG-LANDAU FUNCTIONAL WITH NON-S~1 DIRICHLET BOUNDARY VALUE
     具非S~1值边界条件的Ginzburg-Landau泛函的径向极小元
短句来源
     (2) Suppose f(x) and g i(x)(i=1,2,…,m )are γ -convex, x *∈S . If there exist λ i ≥0,such that ∑mi=1λ ig i(x *) =0 and x * is a local minimizer of the function f+∑mi=1λ ig i , then x * is a global minimizer of the problem(NSP).
     设 f( x) ,gi( x)( i = 1 ,2 ,…, m ) 是 γ- 凸函数,x ∈ S,如果存在数 λi≥0 ,使得∑mi = 1 λigi( x ) = 0 ,x 是函数 f + ∑mi = 1 λigi 的局部最优解,则 x 是( N S P) 最优解
短句来源
     In fuzzy number space,we introduce concepts of fuzzy number and sudifferentials of fuzzy mapping,and calculating laws and relations of order of fuzzy number,definite the cone N(C,x_0) and verify the property of subdifferentials of fuzzy mapping on the minimizer set.
     在模糊数空间中,介绍了模糊数及模糊映射次微分等概念,引入模糊数的加法与乘法运算法则及序关系,定义了锥N(C,x0),证明了模糊映射在最小值点集合上的性质.
短句来源
     Applying the results to optimal controller to realize the minimizer of the cost function of MKdV-Burgers equation under Neumann and Dirichlet boundary control.
     并且把结果用于最优控制器,得到在两种边界条件控制下MKdV-Burgers方程的效用函数J的最小估计。
短句来源
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  相似匹配句对
     Regularity of the Minimizer of Non-quadratic Functionals
     非二次泛函极小的正则性
短句来源
     Radial minimizer of the Ginzburg-Landau functional with impurity inclusion
     含有杂质的Ginzburg-Landau泛函的径向极小元
短句来源
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  minimizer
When the class of filters is restricted to a given maximal length, we show the existence of an uncertainty minimizer.
      
Local quadratic convergence is obtained for a strong local minimizer.
      
The most stir is the numerical results showing that it can find the global minimizer for some problems, which other pattern search algorithms don't bear.
      
It is proved that the approximate function can be chosen as a minimizer to a cost functional.
      
The existence and uniqueness theory of the minimizer is established.
      
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In 1978, G. P. McCormiok [3] developed an idealized exact penalty function as follows:If the primal problem is:then the idealized exact penalty funetiorv is:in which δ(x, q) denotes a solution (local) for following problem:He proved the relations of local minimizers of (A) and (B).In this paper, the further relation of local or global minimizers of (A) and (B) are discussed. Furthermore, the continuity of δ(x, q) for x is proved, and if x0 is a minimizer of (A) or (B), then δ(x0, q) =0.

在文献[3]中,G.P.McCormick引进了理想精确罚函数,并讨论了原非线性规划和这一理想精确罚函数的局部极小之间的关系.本文进一步讨论原非线性规划问题和理想精确罚函数总体极小之间的关系,此外还证明了δ(x,q)关于x的可微性.

A "Quasi-Newton" algorithm based on conie a approximaton is suggested. When f(x) has "good quadratic quality", the algorithm is turned automatically into DFP method, one of the most effective methods for unconstrained optimization. When f(x) is really a conic function, the algorithm can reach its minimizer within n steps. The superiority of this algorithm to DFP method is confirmed by numerical results.

本文提出的算法,当f(x)的“二次性”较强时,能自动转为DFP公式,当f(x)为一锥函数时,算法具有n步终止性,对检验函数进行计算的结果表明,本算法优于DFP公式。

A new global optimization algorithm based on multi-dimensional interpolation function coupled with dynamic search trajectories is presented in this paper. The algorithm can reduce the times of the objective function evaluation greatly and can find the global minimizer of an unknown function of several variables. A good result is obtained when the algorithm is applied to find the optimal feedback gain matrix of a complex power system.

本文介绍一种多元插值逼近和动态搜索轨迹相结合的全局优化算法.该算法大大减少了目标函数计算次数,寻优收敛速度快,算法稳定,且可获得全局极小,有效地解决了大规模非线性复杂动态系统的参数优化问题.一个具有8个控制参数的电力系统优化控制问题,采用该算法仅访问目标函数78次,便可求得最优控制器参数。

 
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