反馈导向动态积分划分

S. Tabirca, T. Tabirca, L. Yang, Len Freeman
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引用次数: 1

摘要

本文介绍了一种新的积分划分迭代方法——反馈导向动态积分划分算法。要研究的问题是将一个定积分分解成p个相同的子积分。该方法通过对先前的积分划分进行重新平衡,从而迭代生成一个更好的积分划分序列。提出了一个简单的收敛条件。实验结果表明,FGDIP方法比经典牛顿方法具有更好的性能
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Feedback Guided Dynamic Integral Partition
In this article we introduce a new iterative method for integral partition called the feedback guided dynamic integral partition (FGDIP) algorithm. The problem to study is the partition of a definite integral into p identical sub-integrals. The method generates iteratively a sequence of integral bounds by re-balancing the previous integral partition to achieve a better one. A simple convergence condition is also proposed. Experimental results show that the proposed method FGDIP achieves better performance than the classical Newton's method
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