An Algorithm for Iteratively Refining the Interval Including the Solution Set of Parameter‐Dependent Nonlinear Equations

An Algorithm for Iteratively Refining the Interval Including the Solution Set of Parameter‐Dependent Nonlinear Equations
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一种迭代细化包含参数相关非线性方程解集的区间的算法

DOI：
10.1002/ecjc.1085
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发表时间：
2002
期刊：
Electronics and Communications in Japan Part Iii-fundamental Electronic Science
影响因子：
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通讯作者：
S. Oishi
S. Oishi
中科院分区：
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文献类型：
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作者：
Y. Kanzawa;M. Kashiwagi;S. Oishi

文献摘要

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本文提出了一种任意最小化区间宽度的算法，该区间不包含区间的解，该区间包含使用非线性函数的方程组的解，其中定义域的维数大于取值范围的维数。此外，通过具体的数值例子证明了所提出算法的有效性。 © 2001 Scripta Technica，Electron Comm Jpn Pt 3, 85(4): 39–44, 2002
An algorithm for arbitrarily minimizing the width of the interval which does not contain the solutions from the interval which contains the solutions of equations using nonlinear functions in which the dimension of the definition domain is greater than the dimension of the value range is proposed in this paper. In addition, the effectiveness of the proposed algorithm is shown using specific numerical examples. © 2001 Scripta Technica, Electron Comm Jpn Pt 3, 85(4): 39–44, 2002