非对称矩阵值函数的连续性和微分性  

The Continuity and Differentiability of Non-symmetric Matrix Valued Function

作　　者：陈涛[1] 田力[1] 

机构地区：[1]泰山学院数学与统计学院,山东泰安271021

出　　处：《泰山学院学报》2015年第3期1-5,共5页Journal of Taishan University

摘　　要：非对称矩阵值函数的性质在研究其最优化问题时起着非常重要的作用.本文在非对称矩阵值函数定义的基础上,基于对称矩阵值函数与非对称矩阵值函数之间的关系,给出了非对称矩阵函数的一种新的连续性和微分性.The properties of the non - symmetric matrix valued function play a very important role in the study of the optimization problems. In this paper we offer the definition of non - symmetric matrix valued function firstly, and then give some new properties on the continuity and differentiability of non - symmetric matrix valued function based on the relationship between the symmetric matrix valued functions and non - symmetric matrix valued functions.

关 键 词：奇异值分解 非对称矩阵值函数 连续性 可微性 

分 类 号：O177.1[理学—数学]