A modified BB gradient method(MB method)is proposed by combining the modified secant equation with the BB gradient method,thus obtaining a class of modified BB steps,and then using Zhang-Hager nonmonotonic line search.Under certain assumptions,the MB method is globally convergent.A large number of numerical experiments are also conducted on the MB method and several BB methods of the same type,and the results show that the MB method is the best numerically.
关键词
Barzilai-Borwein梯度法/非单调线搜索/无约束优化/改进割线方程
Key words
Barzilai-Borwein gradient method/nonmonotone line search/unconstrained optimization/modified secant equation
维普
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