| 带状非线性方程组的一种换元解法 |
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| 引用本文： | 王宇.带状非线性方程组的一种换元解法[J].吉林大学学报(理学版),1991(1). |
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| 作者姓名： | 王宇 |
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| 作者单位： | 吉林大学计算中心 |
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| 摘 要： | 本文对带状非线性方程组提出一种新的直接换元修正解法,得到了该算法的超线性收敛性结果及收敛阶估计,并且给出该算法与Newton法和直接弦修正算法的数值比较。
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| 关 键 词： | 带状矩阵 三角分解 换元法 Newton法 |
An Exchange Entry Algorithm for Solving Band Nonlinear Systems of Equations |
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| Wang Yu.An Exchange Entry Algorithm for Solving Band Nonlinear Systems of Equations[J].Journal of Jilin University: Sci Ed,1991(1). |
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| Authors: | Wang Yu |
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| Institution: | Computer Center of Jilin Uninersity |
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| Abstract: | In this paper, a new updating algorithm of directly exchanging entry for solving band nonlinear systems of equations is proposed. The superlinear convergence results and the convergence order estimation of this algorithm are obtained and the numerical comparisons of this algorithm with Newton method and direct secant algorithm are given. |
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| Keywords: | band matrix triangular decomposition exchange entry Newton method |
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