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CAO Wei, WANG Kai-rong. Global convergence of a new conjugate gradient method for modified Liu-Storey formula[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 44-51.
Citation:
CAO Wei, WANG Kai-rong. Global convergence of a new conjugate gradient method for modified Liu-Storey formula[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 44-51.
CAO Wei, WANG Kai-rong. Global convergence of a new conjugate gradient method for modified Liu-Storey formula[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 44-51.
Citation:
CAO Wei, WANG Kai-rong. Global convergence of a new conjugate gradient method for modified Liu-Storey formula[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 44-51.
In this paper, a modified conjugate gradient formula beta _k^MLSbased on the formula of the Liu-Storey(LS) nonlinear conjugate gradient method was proposed. It was proved that under the Wolfe-Powell line search and even under the strong Wolfe-Powell line search, with parameter sigma in bigg(0,frac12bigg), the new method has sufficient descent and global convergence properties. Preliminary numerical results show that the method is very promising.
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