| 一般约束优化问题的摄动梯度投影法 |
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| 引用本文： | 陈华富.一般约束优化问题的摄动梯度投影法[J].电子科技大学学报(社会科学版),1997(4). |
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| 作者姓名： | 陈华富 |
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| 作者单位： | 电子科技大学应用数学系 |
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| 摘 要： | 利用梯度投影法与罚函数技巧，将带等式和不等式约束优化问题化成一个无约束问题，提出了求解不等式、等式约束优化问题的摄动梯度投影算法。考虑到计算的误差因素，在搜索方向上进行摄动，得到一个方向不精确的梯度投影法。参数δｋ取不同的数还可以得到一类梯度投影法。从而保证了在实际应用中更容易实现，在较弱的条件下，证明了该算法的全局收敛性。
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| 关 键 词： | 不等式和等式约束 摄动梯度投影 罚函数 全局收敛性 |
Disturbing Question about A Linear Operation Semigroup |
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| Zhang,Lixun.Disturbing Question about A Linear Operation Semigroup[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1997(4). |
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| Authors: | Zhang Lixun |
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| Abstract: | Based on Ref.1 and 2,E.Hille E.Yosida or Goldstein operation (semigroup)group is considered in this paper.A distrurbed linear operation semigroup is discussed which processes convergent operator in norm,stiff continuous,and sole and differential characteristics.The relationship between disturbed linear operation semigroup and 4 order feedback evolution equation is presented in a view of generating operator. |
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| Keywords: | Banach space operation semigroup generating operator evolution equation closed circle control system |
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