复Hessian矩阵性质及复正定性的研究  

A Research of the Properties of Complex Hessian Matrix and Its Complex Positive Definite

作　　者：张宋传 ZHANG Songchuan(School of Mathematics and Computer,Wuyi University,Wuyishan,Fujian 354300)

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《武夷学院学报》2019年第3期1-4,共4页Journal of Wuyi University

基　　金：福建省自然科学基金项目(2017J01769);武夷学院高层次人才科研启动基金项目(YJ201802)

摘　　要：讨论复变实值函数复Hessian矩阵的性质,获得一些新的结果,并给出复Hessian矩阵复(半)正定性与Hermite(半)正定性的一些充要条件。The properties of the complex Hessian matrices of real-valued functions with respect to a complex-valued vector variable are discussed and some new results are gained. In addition,several necessary and sufficient conditions of the complex positive (semi)definite and Hermitian positive (semi)definite of the complex Hessian matrices are established.

关 键 词：复Hessian阵 R-可微 复正定矩阵 HERMITE正定矩阵 

分 类 号：O151.21[理学—数学]