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arXiv 1609.00862math.OC
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平均交替修正反射法变形的收敛性分析

Convergence analysis of variants of the averaged alternating modified reflections method

Shin-ya Matsushita

摘要:

本文提出了新的变种的平均交替修改反射(AAMR)方法的最佳逼近问题。在一个较弱的约束规格下,我们首先证明了它的弱收敛性,然后给出了它的收敛速度。此外,在一个标准的类邻点条件下,我们证明了该方法具有有限终止性质。

英文摘要:

This paper presents new variants of the averaged alternating modified reflections (AAMR) method for the best approximation problem. Under a mild constraint qualification, we first show its weak convergence and then establish a convergence rate. Furthermore, under a standard interior-point-like condition, we show that the method has a finite termination property.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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