广西民族大学学报:自然科学版2011,Vol.17Issue(4):69-73,5.
固定步长修正LS共轭梯度法的全局收敛性
Global Convergence Properties of the Modified LS Conjugate Gradient Method with Fixed Step-size
摘要
Abstract
Base on the modified LS conjugate method, the step-size formula for the algorithm without line search is proposed, which make the sufficient descent property holds at each iteration. Under the bound- edness of the objective function on the level set and the Lipschitz continuity of the gradient function, global convergence of the corresponding algorithms with fixed step-size and constant step--size are proved, respectively.关键词
共轭梯度法/固定步长/充分下降性/全局收敛性Key words
conjugate gradient method/fixed step-size/sufficient descent property/global convergence分类
数理科学引用本文复制引用
黄海..固定步长修正LS共轭梯度法的全局收敛性[J].广西民族大学学报:自然科学版,2011,17(4):69-73,5.基金项目
广西壮族自治区教育厅科研项目(201012MS215) (201012MS215)
广西民族师范学院科研项目(200909). (200909)