:: جلد 9، شماره 2 - ( 3-1397 ) ::
جلد 9 شماره 2 صفحات 95-105 برگشت به فهرست نسخه ها
Using Nesterov's Excessive Gap Method as Basic Procedure in Chubanov's Method for Solving a Homogeneous Feasibility Problem
چکیده:   (1574 مشاهده)
We deal with a recently proposed method of Chubanov [1], for solving linear homogeneous systems with positive variables. We use Nesterovchr('39')s excessive gap method in the basic procedure. As a result, the iteration bound for the basic procedure is reduced by the factor $nsqrt{n}$. The price for this improvement is that the iterations are more costly, namely $O(n^2 )$ instead of $O(n)$. The overall gain in the complexity hence becomes a factor of $sqrt{n}$.
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نوع مطالعه: پژوهشی | موضوع مقاله: Continuous Optimization
دریافت: 1398/9/14 | پذیرش: 1398/9/14 | انتشار: 1398/9/14


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جلد 9، شماره 2 - ( 3-1397 ) برگشت به فهرست نسخه ها