同伦方法求解无约束非凸优化问题的局部极小
JOURNAL OF NORTHEAST NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)(2009)
Abstract
利用同伦方法求解无约束非凸优化问题,证明了在同伦映射为正则映射的条件下,选取合适的同伦方程,当算法可以排除鞍点时,同伦方法一定收敛到局部极小解,而非极大解.
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Key words
Convex Optimization,Interior-Point Methods,Fixed-Point Problems,Local Convergence,Nonexpansive Mappings
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