1) J-convex subset
Jensen-凸集
2) convex set
凸集
1.
On E-convex sets,E-convex functions and semi-E-convex functions;
关于E-凸集,E-凸函数和半-E-凸函数性质的研究
2.
Best simultaneous approximation from RS-sets and convex sets;
RS集和凸集的最佳同时逼近
3) convex sets
凸集
1.
On criteria of a kind of convex sets;
关于一类E-凸集的判别准则
2.
A support hyperplane method is presented to find the response set defined for a linear time invariant vibration system under the excitations modeled by some convex sets.
对激励由凸集合建模的线性振动系统提出了响应集的概念，将数学上的微分包含问题简化为求解多自由度振动系统的响应集问题。
3.
This paper defines fuzzy sets, researches some problems of fuzzy mathematic and discusses the subjects of geometric figure with the concept of convex sets.
定义了 Fuuzy集 ,研究了 Fuzzy数学中的几个问题 ,用凸集概念讨论了几何图形的题
4) E-convex sets
E-凸集
1.
General convex sets and convex functions: E-convex sets and E-convex functions are investigated, some properties of which are achieved, the ctiterions of E-convex functions and quasi-semi-E-convex functions are given, minimizing sequences and critical sequences in optimization problems are studied.
本文研究了一类广义的凸集和凸函数: E-凸集和E-凸函数,得出了若干性质,并给出了E-凸函数和拟E-凸函数的判别准则。
5) POCS
凸集投影
1.
A CQPOCS Algorithm for Fast Feature Point Matching;
用于特征点配准的快速聚类凸集投影算法
2.
Super-resolution Reconstruction of the Compressed Image Using Transform POCS;
压缩图像的变换域凸集投影法超分辨率重建
3.
New Algorithm for Sparse MRI Reconstruction Based on POCS Optimization
基于凸集投影的稀疏磁共振图像重建新算法
6) invex set
不变凸集
1.
To improve research on the generalized convex function,some new characteristics of the prequasi-invex function are figured out by means of the cographical set of function(E(f)=(x,α)∶x∈K,α∈R,f(x)αH)and η-invex set,and its two applications in the mathematical programming problem are proposed.
借助于η-不变凸集和函数的上图(E(f)={(x,α)∶x∈K,α∈R,f(x)≤α})得到了预不变拟凸函数的几个新的性质,然后还给出了预不变拟凸函数在数学规划问题中的两个重要应用,从而完善了对此类广义凸函数的研究。
2.
Minty(strong) weak vector variational-like inequality and Stampacchia(strong) weak vector variational-like inequality had the same solution in the case that a matrix-valued function defined on invex set was a continuous invariant pseudomonotone mapping.
讨论两类向量似变分不等式解的关系问题,指出当定义在不变凸集上的映射是不变伪单调连续时,Minty(强)弱向量似变分不等式的解和Stampacchia(强)弱向量似变分不等式的解相同。
3.
To improve research on the generalized convex function,some new characteristics of the prequasi-invex function are figured out by means of the cographical set of function(E(f)={(x,α):x∈K,α∈R,f(x)≤α})and-invex set,and its two applications in the mathematical programming problem are proposed.
首先给出例子说明了此类广义凸函数的存在性,然后利用强η-不变凸集和函数的上图(E(f)={(x,α):x∈K,α∈R,f(x)≤α})得到了强预不变凸函数的几个重要性质,并用另一方法给出它的一个判别定理的简化证明,最后还给出了强预不变凸函数在数学规划问题中的一个重要应用,从而完善了对此类广义凸函数的研究。
补充资料：凸凸
1.高出貌。
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