On a Gradient Flow with Exponential Rate of Convergence

被引：2

作者：

Khatibzadeh, Hadi ^{[1
]}

机构：

[1] Univ Zanjan, Dept Math, Zanjan, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 157卷 / 01期

关键词：

Rate of convergence; Convex function; Subdifferential; Convex minimization problem; Evolution equation; Gradient flow; ASYMPTOTIC-BEHAVIOR; BOUNDED SOLUTIONS;

D O I：

10.1007/s10957-012-0189-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We present an evolution equation governed by a maximal monotone operator with exponential rate of convergence to a zero of the maximal monotone operator. When the maximal monotone operator is the subdifferential of a convex, proper, and lower semicontinuous function, we show that the trajectory of solutions of the evolution equation converges exponentially to the minimum value of the convex function.

引用

页码：141 / 147

页数：7

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