Global Convergence of a Modified PRP Conjugate Gradient Method
نویسندگان
چکیده
منابع مشابه
Global convergence of a modified spectral FR conjugate gradient method
A modified spectral PRP conjugate gradient method is presented for solving unconstrained optimization problems. The constructed search direction is proved to be a sufficiently descent direction of the objective function. With an Armijo-type line search to determinate the step length, a new spectral PRP conjugate algorithm is developed. Under some mild conditions, the theory of global convergenc...
متن کاملGlobal Convergence of a Modified Liu-storey Conjugate Gradient Method
In this paper, we make a modification to the LS conjugate gradient method and propose a descent LS method. The method can generates sufficient descent direction for the objective function. We prove that the method is globally convergent with an Armijo-type line search. Moreover, under mild conditions, we show that the method is globally convergent if the Armijo line search or the Wolfe line sea...
متن کاملA descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
In this paper, we propose a modified Polak–Ribière–Polyak (PRP) conjugate gradient method. An attractive property of the proposed method is that the direction generated by the method is always a descent direction for the objective function. This property is independent of the line search used. Moreover, if exact line search is used, the method reduces to the ordinary PRP method. Under appropria...
متن کاملGlobally convergent modified Perry's conjugate gradient method
Conjugate gradient methods are probably the most famous iterative methods for solving large scale optimization problems in scientific and engineering computation, characterized by the simplicity of their iteration and their low memory requirements. In this paper, we propose a new conjugate gradient method which is based on the MBFGS secant condition by modifying Perry’s method. Our proposed met...
متن کاملThe Global Convergence of a New Mixed Conjugate Gradient Method for Unconstrained Optimization
Yang Yueting and Cao Mingyuan School of Mathematics, Beihua University, Jilin 132013, China Correspondence should be addressed to Yang Yueting, [email protected] Received 14 June 2012; Revised 7 September 2012; Accepted 13 September 2012 Academic Editor: Hak-Keung Lam Copyright q 2012 Y. Yueting and C. Mingyuan. This is an open access article distributed under the Creative Commons Attribution Lic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Procedia Engineering
سال: 2012
ISSN: 1877-7058
DOI: 10.1016/j.proeng.2012.01.1131