精确线搜索下一种新的混合共轭梯度法

摘要

本文对于大规模无约束优化问题提出了一种新的混合βk公式,从而提出了一种具有充分下降性的混合共轭梯度法.利用精确线搜索步长规则,在适当的假设下证明了新算法的全局收敛性.%In this paper, a new mixed iterative formula of coefficient βkis proposed for large-scale unconstrained optimization problems, and a mixed conjugate gradient method with sufficient descent is proposed. By using the exact line search step rules, we prove the global convergence of the new algorithm under the appropriate assumptions.