| 非负矩阵Perron根的下界序列 |
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| 引用本文： | 钟琴,周鑫,牟谷芳.非负矩阵Perron根的下界序列[J].纯粹数学与应用数学,2016,32(4):331-336. |
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| 作者姓名： | 钟琴 周鑫 牟谷芳 |
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| 作者单位： | 四川大学锦江学院数学教学部,四川 彭山,620860;乐山师范学院数学与信息科学学院,四川 乐山,614000 |
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| 基金项目： | 四川省教育厅科研项目(13ZB0357)，四川大学锦江学院青年教师科研基金(12130219) |
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| 摘 要： | 非负矩阵Perron根的估计是非负矩阵理论研究的重要课题之一.如果其上下界能够表示为非负矩阵元素的易于计算的函数,那么这种估计价值更高.本文结合非负矩阵的迹分两种情况给出Perron根的下界序列,并且给出数值例子加以说明.
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| 关 键 词： | 非负矩阵 Perron根 下界序列 |
A sequence of lower bounds for the Perron root of a nonnegative matrix |
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| Zhong Qin,Zhou Xin,Mou Gufang.A sequence of lower bounds for the Perron root of a nonnegative matrix[J].Pure and Applied Mathematics,2016,32(4):331-336. |
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| Authors: | Zhong Qin Zhou Xin Mou Gufang |
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| Abstract: | Computing the bounds for the greatest characteristic root of a nonnegative matrix is important part in the theory of nonnegative matrices. It is more practical value when their bounds are expressed easily calculated function in element of matrix. In this paper, we obtain an increasing sequence of lower bounds for the Perron root of a nonnegative matrix based on the trace of matrix. Numerical examples are given to illustrate the method is effective. |
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| Keywords: | nonnegative matrices Perron root lower bound |
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