次正定复矩阵的判别  

On decision of metapositive definite complex matrix

作　　者：郭华[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《湖北大学学报（自然科学版）》2005年第3期201-203,207,共4页Journal of Hubei University：Natural Science

摘　　要：研究了复矩阵的次正定性,得到了“n阶次正定复矩阵的次特征值实部为正”与“当JA为复正规矩阵时,A是次正定复矩阵的充分必要条件是A的次特征值实部为正”的结论,并在此基础上得到了矩阵是次正定复矩阵的一系列充分条件.The properties of metapositive definite complex matrices are discussed. The paper includes theorems such as the one that the real parts of the sub - characteristic values belonged to an n - square metapositive definite complex matrix are positive,and that if JA is a normal composite matrix,then A is a meatpositive definite complex matrix if and only if the real part of the sub - characteristic proved that the matrix is a series of sufficient conditons of value belonged to A is real. On the conclusion paper has metapositive definite complex matrix.

关 键 词：次转置矩阵 次正定次Hermite矩阵 次正定复矩阵 次特征值 

分 类 号：O151.21[理学—数学]