| 一个求总极值的变测度算法及其收敛性 |
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| 引用本文： | 余泓.一个求总极值的变测度算法及其收敛性[J].大学数学,2009,25(1). |
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| 作者姓名： | 余泓 |
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| 作者单位： | 苏州科技学院,数理学院,苏州,215009 |
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| 摘 要： | 利用积分中值定理阐述了积分型方法的实质,指出了其优点与不足,提出相应的改进方法—变测度算法,并对变测度算法的收敛性进行了证明.
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| 关 键 词： | 积分-水平集 变测度 收敛性 |
A Variable Measure Algorithm for Solving Global Optimization and its Convergence |
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| YU Hong.A Variable Measure Algorithm for Solving Global Optimization and its Convergence[J].College Mathematics,2009,25(1). |
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| Authors: | YU Hong |
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| Institution: | School of Mathematics and Physics;Suzhou University of Science and Technology;Suzhou 215009;China |
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| Abstract: | We make use of mean value theorem to interpret the basic principles of integral method for solving global optimization.We provide merits and demerits of this method and then improve it.Here a variable measure algorithm is proposed and its convergence is proved. |
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| Keywords: | integral-level set variable measure convergence |
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