| 非奇异M-矩阵的新判定算法 |
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| 引用本文： | 张宁,王亚强,赵姣珍.非奇异M-矩阵的新判定算法[J].四川理工学院学报(自然科学版),2009,22(5). |
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| 作者姓名： | 张宁 王亚强 赵姣珍 |
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| 作者单位： | 云南大学数学与统计学院,昆明,650091 |
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| 摘 要： | M-矩阵是可以分解为sI-B这种形式的矩阵,其中B是一个非负矩阵,s≥ρ(B)。M-矩阵在科学研究中有着各种应用,在计算数学和矩阵论的研究中非常重要。文章给出了非奇异M-矩阵的新的判定算法,并用相应的数值实例说明了这个结果的有效性。
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| 关 键 词： | M-矩阵 算法 对角矩阵 上三角矩阵 |
A New Criteria Algorithm for Nonsingular M-matrices |
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| ZHANG Ning,WANG Ya-qiang,ZHAO Jiao-zhen.A New Criteria Algorithm for Nonsingular M-matrices[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(5). |
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| Authors: | ZHANG Ning WANG Ya-qiang ZHAO Jiao-zhen |
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| Abstract: | M-matrix can be decomposed into the form of sI-B,which B is a non-negative matrix.It has a wide variety of applications in scientific research,and it is also very important in the calculation of the studying on mathematics and matrix theory.A new judging criterion for M-matrices is presented.And by using the corresponding numerical example shows the validity of this result. |
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| Keywords: | M-matrices algorithm diagonal matrix upper triangular matrix |
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