| 矩阵正定性的降阶判定 |
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| 引用本文： | 赵志华 王天辉. 矩阵正定性的降阶判定[J]. 沈阳化工学院学报, 1999, 13(2): 127-128 |
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| 作者姓名： | 赵志华 王天辉 |
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| 作者单位： | [1]沈阳化工学院数学教研室 [2]营口大学 |
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| 摘 要： | 在将ｎ阶方阵正定性的判定转化为（ｎ－１）阶方阵正定性判定的基础上，给出了将ｎ阶方阵正定性的判定转化为ｒ阶方阵正定性的判定方法。应用此方法，每步可降低（ｎ－ｒ）阶，加快了判定速度。
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| 关 键 词： | 正定矩阵 逆矩阵 矩阵 降阶判定 |
Judgement on Positive Definite Matrix= by Depression of Order |
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| ZHAO Zhihua , WANG Tianhui , GUAN Yingnan. Judgement on Positive Definite Matrix= by Depression of Order[J]. Journal of Shenyang Institute of Chemical Technolgy, 1999, 13(2): 127-128 |
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| Authors: | ZHAO Zhihua WANG Tianhui GUAN Yingnan |
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| Affiliation: | ZHAO Zhihua 1, WANG Tianhui 2, GUAN Yingnan 3 |
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| Abstract: | Based on a method to judge %n%order positive definite matrix by judging some (%n%-1)order positive definite matrices,we proved that judgement of %n%order positive definite matrix can be converted to judgement of %r%order positive definite matrices(where %r% is a integer: 1%r%%n%-1). In this way, (%n-r%)order is depressed in every step, and then judgement is speeded up.= |
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| Keywords: | positive definite matrix inverse matrix Schur complement of matrix |
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