| 非线性方程组的分裂型单调迭代方法(Ⅰ) |
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| 引用本文： | 彭宏.非线性方程组的分裂型单调迭代方法(Ⅰ)[J].吉首大学学报(自然科学版),1992(1). |
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| 作者姓名： | 彭宏 |
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| 作者单位： | 吉首大学数学系 |
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| 摘 要： | 在本文中,引入了符号矩阵、L分裂、混合分裂等全新的概念.在半序Banach空间上建立了统一的单调迭代方法的理论,研究了该方法的存在性和收敛性.该理论包括了众多常见的单调迭代理论
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| 关 键 词： | 单调迭代法 符号矩阵 非线性方程组 |
Splitting Monotone Iterative Methods of Nonlinear Equations (I) |
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| Peng Hong.Splitting Monotone Iterative Methods of Nonlinear Equations (I)[J].Journal of Jishou University(Natural Science Edition),1992(1). |
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| Authors: | Peng Hong |
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| Institution: | Mathemtical Department of Jishou University |
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| Abstract: | In this paper, We introduce sign matrix, L splitting and mixed splittings et al new conception. In order Banach space, we suggest a kind of theory of unity splittinng monotone iterative methods, research the existence and convergent of the method. The theory contain the theory of many common splitting monotone iterative methods. |
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| Keywords: | Monotone Iterative Method Sign Matrix Nonlinear Equation |
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