A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space
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DOI:
10.1016/j.jat.2006.01.003
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发表时间:
2006-07
期刊:
J. Approx. Theory
影响因子:
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通讯作者:
Heinz H. Bauschke;P. Combettes;D. R. Luke
Heinz H. Bauschke;P. Combettes;D. R. Luke
中科院分区:
其他
文献类型:
--
作者:
Heinz H. Bauschke;P. Combettes;D. R. Luke

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给出了一种求Hilbert空间中两个闭凸集在其交上投影的新迭代方法。它是最近提出的平均交替反射方法,产生一个强收敛序列的豪加佐样修改。
A new iterative method for finding the projection onto the intersection of two closed convex sets in a Hilbert space is presented. It is a Haugazeau-like modification of a recently proposed averaged alternating reflections method which produces a strongly convergent sequence.