广义正定矩阵的等价定义及进一步推广  

The Equivalent Definitions of Generalized Positive Definite Matrices and Its Further Generalization

作　　者：秦应兵[1] 

机构地区：[1]西南交通大学数学学院,成都610031

出　　处：《大学数学》2014年第5期62-65,共4页College Mathematics

摘　　要：讨论了三类广义正定矩阵的等价定义,进一步推广正定矩阵得到了一类新的广义正定矩阵,并对其性质进行了研究.The equivalent definitions of three kinds of generalized positive definite matrices are discussed, and then, a new kind of generalized positive definite matrices is proposed. Finally, some properties of the new kind of generalized positive definite matrices are introduced.

关 键 词：正定矩阵 广义正定矩阵 QR-分解 

分 类 号：O151.21[理学—数学]