【摘要】 本文考虑求总极值的变测度方法,先引进了Q测度序列的Q收敛以及依赖于测度的均值,方差和高阶矩等概念。利用这些概念,得到了总极值的最优性条件。而后再给出变测度算法,并证明了算法的收敛性。更多还原

【Abstract】 A variable measure method for finding global minima is corsidered in this paper.The concepts of Q-convergence of a sequence of Q-measures, and also those of mean value, variance and higher moments relative to the measures are introduced. With these concepts, integral optimality conditions for global optimization are obtained. We then describe the variable measure algorithm and prove its convergence.更多还原