| 论强单调算子下的邻点算法 |
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| 引用本文： | 董云达.论强单调算子下的邻点算法[J].数学的实践与认识,2010,40(21). |
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| 作者姓名： | 董云达 |
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| 基金项目： | 郑州大学人才引进基金，国家青年基金 |
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| 摘 要： | 考虑强单调算子下的邻点算法.证明了它容许弱于可和性条件的绝对误差以及每个松弛因子不超过某个较小正数的相对误差.
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| 关 键 词： | 强单调算子 邻点算法 收敛性 误差准则 |
On the Proximal Point Algorithm for Strongly Monotone Operators |
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| DONG Yun-da.On the Proximal Point Algorithm for Strongly Monotone Operators[J].Mathematics in Practice and Theory,2010,40(21). |
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| Authors: | DONG Yun-da |
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| Abstract: | Consider the proximal point algorithm for strongly monotone operators.It is proved that it allows for absolute error criterion with weaker summability and relative error criterion whose relaxation factor may be some constant. |
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| Keywords: | strongly monotone operator the proximal point algorithm convergence error criterion |
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