A new three-term conjugate gradient algorithm based on the Dai-Liao and the Liu-Xu conjugate gradient methods

Authors : Khalil K ABBO

Pages : 35-46

View : 7 | Download : 6

Publication Date : 2020-09-17

Article Type : Other Papers

Abstract :Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given. Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given. Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given. Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given. Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given. Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given. Based on the Dai-Laio and Liu-Xu methods, we develop a new three-term conjugate gradient method for solving large-scale unconstrained optimization problem,. The suggested method satisfies both the descent condition and the conjugacy condition. For uniformly convex function, under standard assumption the global convergence of the algorithm is proved. Finally, some numerical results of the proposed method are given.
Keywords : descent methods, Conjugate gradient methods