| 一类非线性方程迭代法的有限终止法 |
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| 引用本文： | 徐宗本,陈白丽. 一类非线性方程迭代法的有限终止法[J]. 西安交通大学学报, 1988, 0(4) |
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| 作者姓名： | 徐宗本 陈白丽 |
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| 作者单位： | 西安交通大学数学系(徐宗本),西安交通大学数学系(陈白丽) |
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| 摘 要： | 人们惯于认为,运用迭代法求解非线性方程组只能获得解的近似值而不可能得到精确解。而本文有兴趣于指出:对某些类特殊非线性方程,运用适当迭代法能在有限步内求出其精确解。
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| 关 键 词： | 迭代法 单调算子/有限终止性 |
A CLASS OF ITERATIVE METHODS WITH FINITE TERMINATION PROPERTY FOR NONLINEAR SYSTEM OF EQUATIONS |
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| Xu Zongben,Chen Baili. A CLASS OF ITERATIVE METHODS WITH FINITE TERMINATION PROPERTY FOR NONLINEAR SYSTEM OF EQUATIONS[J]. Journal of Xi'an Jiaotong University, 1988, 0(4) |
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| Authors: | Xu Zongben Chen Baili |
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| Affiliation: | Department of Mathematics |
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| Abstract: | It is generally accepted that an approximate solution, but not an exactone, can only be obtained by an iterative method for a system of nonlinearequations. In this paper, however, examples are given to show that specificiterative methods can be used to find an exact solution of certain system ofnonlinear equations in finite steps. These examples particulary suggeste a newdirect method for solving a class of "time-dependent" system of linearequations. |
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| Keywords: | iteration method monotonic operator / finite termination |
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