| 关于压缩映射原理的某些应用 |
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| 引用本文： | 张玲.关于压缩映射原理的某些应用[J].科技通报,2011,27(4):474-478. |
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| 作者姓名： | 张玲 |
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| 作者单位： | 天津城市建设学院,天津,300384 |
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| 摘 要： | 探讨了压缩映射原理在求数列极限、判断矩阵可逆、求近似值、微分方程存在唯一解问题以及非线性方程求解方面的某些应用,阐明了压缩映射原理在数学各分支应用的灵活性和广泛性.
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| 关 键 词： | 数学 压缩映射原理 应用 |
Applications for the Contraction Mapping Principle |
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| ZHANG Ling.Applications for the Contraction Mapping Principle[J].Bulletin of Science and Technology,2011,27(4):474-478. |
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| Authors: | ZHANG Ling |
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| Institution: | ZHANG Ling(Tianjin institute of urban construction,Tianjin 300384,China) |
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| Abstract: | Based on the Contraction Mapping Principle,Its applications are discussed in this paper,which include the calculation of limit of iteration sequence,the judgment of reversible matrix,the approximate value,the unique solution of differential equations and the root of non-linear equation.It indicates that the Contraction Mapping Principle has a flexible but wide application in various branches of mathematics. |
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| Keywords: | mathematics contraction mapping principle application |
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