关于广义正定矩阵的注记 |
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引用本文: | 方均尧 杨尚骏. 关于广义正定矩阵的注记[J]. 安徽大学学报(自然科学版), 1993, 17(2): 1-5 |
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作者姓名: | 方均尧 杨尚骏 |
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摘 要: | 文[1],[4],[5]定义了广义正定矩阵.本文讨论各类广义正定矩阵类之间的关系.给出了一些关于一个实矩阵为广义正定矩阵的条件.
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关 键 词: | 对称正定矩阵 广义正定矩阵 矩阵的谱 |
Note on the Generalized Positive Definite Matrices |
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Abstract: | It is useful and interesting to generalize the symmetric positive definite matrix. Several im- portant classes of these generalized positive definite matrices are defined and investigated in [1], [4]and [5]. In this paper we shall discuss proper inclusion relations between all these class of generalized positive definite matrices; study the equivalent condition for a real square matrix to belong to one of the classes;and point out wrong results in [4] and also in [5]. |
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Keywords: | posifive define mafrices spectrum |
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