期刊论文

中文

湖南农业大学学报(自然科学版)

1007-1032

1997

23

6

586-589

10.13331/j.cnki.jhau.1997.06.019

湖南农业大学青年科研基金；

本校为第一机构

引入完全严格对角占优矩阵的概念，证明了具有正对角元的，完全严格对称角占优矩阵，迹占优矩阵及广义反对称矩阵都是亚正定的；并利用Ｒａｙｌｅｉｇｈ商与特征值的关系，获得亚正定矩的特征值实部的范围．

The concept of totally strict diagonal do minant matrix was introduced. Totally strict diagonal dominant,trace dominant and generalized antisymmetric matrices with positive diagona elements were proofed to be positive metadefinitive. The range of the real part of eigenvalue for sum of positive metadefinite matrices was estimated from the relationship of...