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Using Nesterov's Excessive Gap Method as Basic Procedure in Chubanov's Method for Solving a Homogeneous Feasibility Problem
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چکیده: (8015 مشاهده) |
| We deal with a recently proposed method of Chubanov [1], for solving linear homogeneous systems with positive variables. We use Nesterov'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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متن کامل [PDF 289 kb]
(15435 دریافت)
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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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