| Szasz不等式在亚正定矩阵和拟广义正定矩阵上的推广 |
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| 引用本文： | 李衍禧.Szasz不等式在亚正定矩阵和拟广义正定矩阵上的推广[J].数学的实践与认识,2009,39(11). |
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| 作者姓名： | 李衍禧 |
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| 作者单位： | 潍坊学院,数学与信息科学学院,山东,潍坊,261061 |
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| 基金项目： | 潍坊学院自然科学基金 |
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| 摘 要： | 实对称正定矩阵的Szasz不等式是Hadamard不等式的加细;本文将Szasz不等式推广到一类亚正定矩阵和拟广义正定矩阵上去,从而推广了关于实对称正定矩阵的Szasz不等式和Hadamard不等式.
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| 关 键 词： | 主子式 Szasz不等式 亚正定矩阵 拟广义正定矩阵 |
The Generalizations of Szasz's inequality for Meta-positive Definite Matrix and Similar Generalized Positive Definite Matrix |
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| LI Yan-xi.The Generalizations of Szasz's inequality for Meta-positive Definite Matrix and Similar Generalized Positive Definite Matrix[J].Mathematics in Practice and Theory,2009,39(11). |
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| Authors: | LI Yan-xi |
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| Abstract: | Szasz′s inequality for symmetric positive definite matrix is the isolation of Hadamard′s inequality; In this paper, the generalizations of Szasz′s inequality for one type of meta-positive definite matrix and similar generalized positive definite matrix are obtained, therefore Szasz′s inequality and Hadamard′s inequality for symmetric positive definite matrix are generalized. |
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| Keywords: | principal minor determinant Szasz′s inequality meta-positive definite matrix similar generalized positive definite matrix |
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