| 求解非线性方程组的秩1反拟牛顿迭代法 |
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| 引用本文： | 秦学志,刘慧,罗远诠.求解非线性方程组的秩1反拟牛顿迭代法[J].大连理工大学学报,1995(6). |
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| 作者姓名： | 秦学志 刘慧 罗远诠 |
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| 作者单位： | 大连理工大学应用数学系 |
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| 摘 要： | 给出了求解非线性方程组的秩１反拟牛顿迭代法，并证明了其在一定条件下收敛及具有超线性敛速或二阶敛速，且其每步的计算量少于著名的Ｂｒｏｙｄｅｎ秩１修正方法的计算量，计算实例表明，该方法是较有效的。
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| 关 键 词： | 牛顿法 非线性方程 迭代法 |
Single rank inverse quasi-Newton iterative method for solving nonlinear simultaneous equations |
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| Qin Xuezhi,Liu Hui,Luo Yuanquan.Single rank inverse quasi-Newton iterative method for solving nonlinear simultaneous equations[J].Journal of Dalian University of Technology,1995(6). |
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| Authors: | Qin Xuezhi Liu Hui Luo Yuanquan |
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| Abstract: | This paper presents a single rank inverse quasi-Newton iterative method for solvingnon-linear simultaneous equations,and proves that it is superlinear convergence or quadraticconvergence under some conditions. The amount of calculation per iterative step of this method isless than that of Broyden,s single rank quasi-Newton method. The numerical results show thehigh efficiency of the new method. |
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| Keywords: | Newton method non-linear equations iteration methods |
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