实矩阵的次正定

The Sub-positive Definite of Real Matrix

引进了一般实矩阵次正定性的概念 ,得到实矩阵次正定的一些必要充分条件、一种次合同标准形以及一些相关性质。同时对它们的张量积与圈积进行了讨论 。

In this paper,a concept of sub positive definite of generalized real matrix is presented.Its necessary and sufficient conditions,the sub congruence canonical form and its character are obtained.The paper also discusses their Kronecker product and Hadamard product ,and points out the differencl of sub positive definite of real matrx from positive definite real matrix.