A new class of mixed conjugate gradient method with exact line search. (Chinese. English summary) Zbl 1413.90258
Summary: In this paper, a new mixed iterative formula of coefficient \({\beta_k}\) is 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.