| 矩阵的一种特殊运算及其应用 |
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| 引用本文： | 王忠义.矩阵的一种特殊运算及其应用[J].数学的实践与认识,2012,42(3):126-130. |
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| 作者姓名： | 王忠义 |
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| 作者单位： | 西安石油大学理学院,陕西西安,710065 |
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| 摘 要： | 针对元素为非负实数的矩阵,引入矩阵的一种双目运算——换乘运算,讨论了这种运算的一些主要性质.举例说明这种运算在城市公交路线查询中的应用,和其他查询算法相比,这种方法具有一次运算,永久利用结果的优点.
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| 关 键 词： | 直达距离矩阵 环行线路 往返线路 换乘次数 |
A Special Operation of Matrix and its Application |
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| WANG Zhong-yi.A Special Operation of Matrix and its Application[J].Mathematics in Practice and Theory,2012,42(3):126-130. |
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| Authors: | WANG Zhong-yi |
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| Institution: | WANG Zhong-yi (School of Science,Xi’an Shiyou University,Xi’an 710065,China) |
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| Abstract: | Considering the matrix with nonnegative elements,a kind of two-element operation of matrix,namely Changing Bus Operation,is introduced.Some main properties of this operation are discussed.As an example,the application of this operation to the problem of querying the route of bus line is introduced.In contrast with other query algorithm,the method making use of Changing Bus Operation has a merit that when you operate once,you can enjoy the result forever. |
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| Keywords: | direct arrival distance matrix bus line with a circular route bus line to and fro times of changing buses |
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