| 实正定矩阵的若干判定方法 |
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| 引用本文： | 倪凌炜.实正定矩阵的若干判定方法[J].湖州师范学院学报,2004,26(2):125-128. |
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| 作者姓名： | 倪凌炜 |
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| 作者单位： | 湖州师范学院,理学院,浙江,湖州,313000 |
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| 摘 要： | 运用高等代数中一系列矩阵论的相关知识，给出了实对称正定矩阵的若干判定方法，对一般实矩阵正定的性质和判定作了初步的讨论和研究，得到了一般实正定矩阵的几个重要性质和判定定理。
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| 关 键 词： | 实对称正定矩阵 实正定矩阵 严格对角占优阵 Hadamard积 |
| 文章编号： | 1009-1734(2004)02-0125-04 |
| 修稿时间： | 2004年3月15日 |
Some Judgment Methods for the Real Symmetry Positive Definite Matrix |
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| NI Ling-wei.Some Judgment Methods for the Real Symmetry Positive Definite Matrix[J].Journal of Huzhou Teachers College,2004,26(2):125-128. |
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| Authors: | NI Ling-wei |
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| Abstract: | Positive symmetry matrix, a special type of real matrix, is critically important in the matrix theory .It is widely applied in different branches of mathematics and physics. The positive symmetry matrix we study in college is virtually real symmetry positive definite matrix, which is a more special type of real matrix and is more uncomplicated than the average positive symmetry matrix. On the basis of some judging methods of real symmetry positive definite matrix, this paper intends to make the first step to discuss and probe into the characteristics and judgment of positive symmetry matrix. Most of the judging methods originate from accumulation of daily practice, so they are of wideranging practical value and application value. |
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| Keywords: | real symmetry positive definite matrix real positive definite matrix the strict opposite angles occupying excellency Hadamard product |
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