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矩阵正定性的进一步推广
引用本文:钱云,顾传青.矩阵正定性的进一步推广[J].应用数学与计算数学学报,2014(2):215-217.
作者姓名:钱云  顾传青
作者单位:[1]上海大学理学院,上海200444 [2]巢湖学院数学系,安徽巢湖238000
基金项目:安徽省高校省级自然科学基金资助项目(KJ2012A205)
摘    要:矩阵的正定性在很多领域中都有广泛的应用,其定义得到了一系列的推广.进一步推广了矩阵的正定性,给出了更广义的正定矩阵的定义,并得到了它的若干性质.

关 键 词:正定矩阵  推广  性质  判定方法

Further generalization of positive definite matrices
QIAN Yun,GU Chuan-qing.Further generalization of positive definite matrices[J].Communication on Applied Mathematics and Computation,2014(2):215-217.
Authors:QIAN Yun  GU Chuan-qing
Institution:1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. Department of Mathematics, Chaohu University, Chaohu 238000, Anhui Province, China)
Abstract:The positive definite of matrices has been widely applied in many fields, and its definition has many extensions. The definition of the positive definite matrices is further generalized, and some useful properties are obtained in this paper.
Keywords:positive definite matrix  generalization  property  discriminance
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