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Global Convergence of a Hybrid Conjugate Gradient Method

Global Convergence of a Hybrid Conjugate Gradient Method
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摘要 Conjugate gradient method is one of successful methods for solving the unconstrained optimization problems. In this paper, absorbing the advantages of FR and CD methods, a hybrid conjugate gradient method is proposed. Under the general Wolfe linear searches, the proposed method can generate the sufficient descent direction at each iterate,and its global convergence property also can be established. Some preliminary numerical results show that the proposed method is effective and stable for the given test problems. Conjugate gradient method is one of successful methods for solving the unconstrained optimization problems. In this paper, absorbing the advantages of FR and CD methods, a hybrid conjugate gradient method is proposed. Under the general Wolfe linear searches, the proposed method can generate the sufficient descent direction at each iterate,and its global convergence property also can be established. Some preliminary numerical results show that the proposed method is effective and stable for the given test problems.
作者 吴雪莎
出处 《Chinese Quarterly Journal of Mathematics》 2015年第3期408-415,共8页 数学季刊(英文版)
关键词 CONJUGATE GRADIENT method general Wolfe linear search SUFFICIENT DESCENT condition global CONVERGENCE conjugate gradient method general Wolfe linear search sufficient descentcondition global convergence
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