1) Approximate optimal solutions sets
逼近最优解集
1.
The stability of approximate optimal solutions sets and the continuity of optimal values of probabilistic constrained programs are obtained under some conditions.
在一定的条件下,得到了概率约束规划逼近最优解集的稳定性和最优值的连续性,从而对近似求解这类问题提供了某种理论依据。
2) ε-approximate optimal solution sets
ε-逼近最优解集
1.
The Hausdorff convergence condition of ε-approximate optimal solution sets for stochastic programming is studied.
本文研究了随机规划ε-逼近最优解集的Haudorff收敛性条件,证明了随机规划逼近最优值的收敛性,并利用此结果给出了随机规划ε-逼近最优解集Haudorff收敛的一个充分条件。
3) optimal approximation
最优逼近
1.
With the view of the optimal approximation for the formed beams, the radiation pattern and the field distribution in the focus zone of Fresnel zone plate antenna approximation with the fields of the linear array have been studied based on the methods of weighted residue and Prony,which suit for the approximation for the real patterns of various Fresnel zone focusing configuration.
从赋形波束最优逼近的观点入手,应用加权余量法和Prony法,研究基于直线阵列激励方式及其阵元空间分布的优化设计,从而实现菲涅尔区板天线辐射波束及焦区场分布的最佳数值逼近技术。
2.
Based on the representation of interval rational Bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods.
根据区间有理Bezier曲线、曲面的特点，通过一系列数学变换，将其降阶问题转化为多项式的保上界降阶逼近，再应用线性规划和最优逼近方法求解，给出几种逼近算法，并探讨通过约束不等式的松弛，进一步改进逼近效果。
4) Approximate optimal values
逼近最优值
5) optimal approximation
最佳逼近解
1.
Also, in the solution set of matrix equation, the expression of the optimal approximation solution to given matriix is derived.
作者运用CCD的手段,得到了矩阵方程AXB=E的极小范数加以最小二乘Skew-Her-mite解的表达式和方程有Skew-Hermite解的充要条件,而且也引伸出给定矩阵在Skew-Her-mite解集中的最佳逼近解的表达式。
6) optimal approximation solution
最佳逼近解
1.
In addition,in solution set,the expressions of the optimal approximation solution to the given matrix and of minimum norm solution are derived.
利用广义奇异值分解定理,得到了矩阵方程AHXA=B的反自反解存在的一个充要条件,并获得了相应的通解表达式和最佳逼近解,最后获得了最小范数
2.
The related optimal approximation solution can also be obtained with the method which only needs to be made slight changes.
利用对称正交对称矩阵的结构特点及相关性质,并借助一些矩阵空间的相关理论,给出了求矩阵方程AX=B的对称正交对称解的正交投影迭代算法;证明了算法的收敛性,得到了算法的收敛率估计;当方程相容时,该算法收敛于问题的极小范数解,当方程不相容时,该算法收敛于方程的极小范数最小二乘解;对该算法稍加修改后,同样可求出相应的最佳逼近解。
3.
If a special kind of initial matrix is chosen,the symmetricsolution with least norm can be obtained,which wonderfully handle the problem of solving its optimal approximation solution for a given matrix.
若取特殊的初始矩阵,则得到问题的极小范数对称解,从而巧妙地解决了对给定矩阵求最佳逼近解的问题。
补充资料：逼近紧集
逼近紧集
approximately-compact set
逼近紧集{aPpro%im班ly一~p叭set;aun即枕“~皿。“。MI翻既rl《吧M”仪服。cr即} 具有逼近紧性(approximate。)mpactness)的凳:合、任何逼近紧He6L批B集七的度量射影都是连续的空间L。(0
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条