| 非奇异M-矩阵的降阶判定 |
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| 引用本文： | 韩凤萍,严宣辉.非奇异M-矩阵的降阶判定[J].福建师范大学学报(自然科学版),2006,22(1):12-15. |
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| 作者姓名： | 韩凤萍 严宣辉 |
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| 作者单位： | 1. 福建信息职业技术学院,福建,福州,350019
2. 福建师范大学数学与计算机科学学院,福建,福州,350007 |
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| 基金项目： | 福建省教育厅基会资助项目（JB05209） |
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| 摘 要： | 给出对任意阶非奇异M-矩阵进行简便判定定理，设计了一种降阶判定算法以实现对任意阶矩阵是否为非奇异M-矩阵的快速判定，每次只要进行数的加、减、乘、除简单运算及对其结果判定符号，并对一个已有的逆M-矩阵的性质定理的结论进行修正．
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| 关 键 词： | M-矩阵 逆M-矩阵 Schur补 |
| 文章编号： | 1000-5277（2006）01-0012-04 |
| 收稿时间： | 2005-03-09 |
| 修稿时间： | 2005-03-09 |
Decision of Reducing Order of Nonsingular M-matrix |
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| HAN Feng-ping,YAN Xuan-hui.Decision of Reducing Order of Nonsingular M-matrix[J].Journal of Fujian Teachers University(Natural Science),2006,22(1):12-15. |
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| Authors: | HAN Feng-ping YAN Xuan-hui |
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| Institution: | 1, Fujian Vocational College of Information and Technology , Fuzhou 350019, China; 2. School of Mathematics and Computer Science , Fujian Normal University , Fuzhou 350007, China |
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| Abstract: | Give a convenient theorem of judging an arbitrary order nonsingular M-matrix , design an algorithm of reducing order to judge whether an arbitrary order M-matrix is a nonsingular M-matrix. Every time it is only required to operate on addition, subtract, multiply, division to judge symbol of its result. It is easy and simple. Meanwhile, revise a previous theorem of inverse M-matrix property. |
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| Keywords: | M-matrix inverse M-matrix Schur complement |
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