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一个求总极值的变测度算法及其收敛性
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)
作者姓名:余泓
作者单位:苏州科技学院,数理学院,苏州,215009
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.

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
YU Hong. A Variable Measure Algorithm for Solving Global Optimization and its Convergence[J]. College Mathematics, 2009, 25(1)
Authors:YU Hong
Affiliation:School of Mathematics and Physics;Suzhou University of Science and Technology;Suzhou 215009;China
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.
Keywords:integral-level set  variable measure  convergence  
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