希望为广义正定矩阵概念的规范化探出一条新路。
It wishes to find a new way for normative research into the concept of generalized positive definite matrix.
结果得到了当m是广义正定矩阵时，线性互补问题存在唯一解。
Results linear complementary problem have unique solution when m is generalized positive definite matrix.
指出非对称广义正定矩阵的主子矩阵一般不是非对称广义正定矩阵。
The principal submatrix of the asymmetrical generalized positive definite matrix is not asymmetrical generalized positive definite matrix in general.
最后得到一个矩阵型的位移广义本征值方程，刚度矩阵对称、正定。
Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positively definite.
本文给出了用低阶矩阵来判定高阶矩阵的广义对称正定的判定定理。
A theorem to determine the generalized positive definiteness of high-order matrices by low-order matrices is given.
给出实矩阵的广义谱分解式，讨论广义正定实矩阵的特征根的一些性质。
In this paper, we give a general spectral resolution of real matrix and some properties eigenvalue of a general positive definite real matrix.
当引入广义正定复矩阵这个概念之后，也应该讨论它相应的性质与结构，这对丰富矩阵论的内容无疑是有意义的。
To in this paper, the definition of complex generalized positive definite matrix is given, its fundamental properties are studied, and its equivalent characteristics are established.
当引入广义正定复矩阵这个概念之后，也应该讨论它相应的性质与结构，这对丰富矩阵论的内容无疑是有意义的。
To in this paper, the definition of complex generalized positive definite matrix is given, its fundamental properties are studied, and its equivalent characteristics are established.
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