Firstly, we give some technologies and notations, and introduce the definitions of numerical range , convex set, extreme point, maximal partial isometry etc. Subsequently we give some well-known theorems such as the Krein-Milman theorem, polar decomposition theorem and spectral theorem.
首先我们介绍了一些符号的表示意义,接着引入了数值域,凸集,凸集端点,极大部分等距等概念,而后给出一些广泛熟知的定理如Krein-Milman定理,极分解定理,谱定理等。
参考来源 - 关于算子矩阵谱配置及方根与范数不等式相关问题研究Based on Lyapunov stability theory, Razumikhin stability theory and convex set theory, linear matrix inequality, matrix analyzing methods and convex programming are adopted in this paper.
本文的研究工作主要基于Lyapunov稳定性定理,Razumikhin稳定性定理以及凸集的有关理论,并采用了线性矩阵不等式,矩阵分析以及凸规划等工具。
参考来源 - 线性不确定时滞系统的鲁棒控制研究·2,447,543篇论文数据,部分数据来源于NoteExpress
以上来源于: WordNet
In this paper we investigate the convex set in a plane of constant curvature.
本文研究常曲率平面上的凸集,研究常曲平面上的凸集方法。
The concept of -generalized convex set-valued map is defined in linear topological space.
在线性拓扑空间中,定义了-广义锥凸集值映射的概念。
The establishment of a recurrence relation in geometric convex set is the key to solve a problem.
几何凸集中递归关系的建立是求解问题的关键。
应用推荐