广义对称矩阵的判定(Ⅰ)

Criteria for the generalized symmetric matrices

对实对称矩阵概念进行了推广,给出了广义实对称矩阵概念,并对其性质和判别条件进行了研究。同时也给出了判定实矩阵的特征根为实数的若干个充分条件。这些判别方法简单、易行。

The definition of the real symmetric matrices is further extended. By introducing the (concept) of the generalized real symmetric matrices, their properties and criteria are studied. These (results) obtained give out some sufficient conditions for the eigenvalues of real matrices to be real (numbers). The criteria are simple and easy to use.