| 二元算子方程组的迭代求解方法 |
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| 引用本文： | 郑琰,刘立山. 二元算子方程组的迭代求解方法[J]. 数学学报, 2006, 49(5): 1033-103. DOI: cnki:ISSN:0583-1431.0.2006-05-010 |
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| 作者姓名： | 郑琰 刘立山 |
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| 作者单位： | 曲阜师范大学数学科学学院,曲阜273165 |
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| 基金项目： | 国家自然科学基金（10471075）;教育部高等学校博士点专项基金资助项目（20050446001）山东省自然科学基金资助项目（Y2003A01）致谢作者衷心感谢审稿人对本文所提的有益建议. |
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| 摘 要： | 利用锥理论和单调迭代方法,本文在Banach空间中对三类二元算子方程组的求解进行了探讨,利用较简捷的条件得出方程组的唯一解和迭代逼近式及误差估计式并推广到了n元算子方程组的情形,得到相应结果．
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| 关 键 词： | 二元算子方程组 逼近解 锥 |
| 文章编号： | 0583-1431（2006）05-1033-06 |
| 收稿时间： | 2005-01-06 |
| 修稿时间： | 2005-01-062005-07-15 |
Iterative Solutions Methods for Systems of Two Binary Operator Equations |
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| Yan ZHENG ,Li Shan LIU. Iterative Solutions Methods for Systems of Two Binary Operator Equations[J]. Acta Mathematica Sinica, 2006, 49(5): 1033-103. DOI: cnki:ISSN:0583-1431.0.2006-05-010 |
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| Authors: | Yan ZHENG Li Shan LIU |
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| Affiliation: | School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P. R. China |
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| Abstract: | Using the cone and monotone iterative theory, the existence and uniqueness of solutions for three classes of systems of two binary operator equations in Banach space are discussed, and the error estimations for the convergent iterative sequence are also given. As a generalization, the solutions for some classes of n variable operator equations are also discussed. |
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| Keywords: | systems of two binary operator equations iterative solution cone |
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