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arXiv · 1304.7965

Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets

Jonathan M. Borwein·Guoyin Li·Liangjin Yao
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Abstract

In this paper, we study the rate of convergence of the cyclic projection algorithm applied to finitely many basic semi-algebraic convex sets. We establish an explicit convergence rate estimate which relies on the maximum degree of the polynomials that generate the basic semi-algebraic convex sets and the dimension of the underlying space. We achieve our results by exploiting the algebraic structure of the basic semi-algebraic convex sets.

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Jonathan M. Borwein, Guoyin Li, Liangjin Yao. 2013-04-30. Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets. https://arxiv.org/abs/1304.7965

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