Global convergence analysis of a new hybrid conjugate gradient method for unconstrained optimization problems
نویسندگان
چکیده
منابع مشابه
A New Hybrid Conjugate Gradient Method Based on Eigenvalue Analysis for Unconstrained Optimization Problems
In this paper, two extended three-term conjugate gradient methods based on the Liu-Storey ({tt LS}) conjugate gradient method are presented to solve unconstrained optimization problems. A remarkable property of the proposed methods is that the search direction always satisfies the sufficient descent condition independent of line search method, based on eigenvalue analysis. The globa...
متن کاملA new hybrid conjugate gradient algorithm for unconstrained optimization
In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems. This new method can generate sufficient descent directions unrelated to any line search. Moreover, the global convergence of the proposed method is proved under the Wolfe line search. Numerical experiments are also presented to show the efficiency of the proposed algorithm, espe...
متن کاملAn Efficient Conjugate Gradient Algorithm for Unconstrained Optimization Problems
In this paper, an efficient conjugate gradient method for unconstrained optimization is introduced. Parameters of the method are obtained by solving an optimization problem, and using a variant of the modified secant condition. The new conjugate gradient parameter benefits from function information as well as gradient information in each iteration. The proposed method has global convergence und...
متن کاملNew hybrid conjugate gradient method for unconstrained optimization
Conjugate gradient methods are widely used for unconstrained optimization, especially large scale problems. Most of conjugate gradient methods don’t always generate a descent search direction, so the descent condition is usually assumed in the analyses and implementations. Dai and Yuan (1999) proposed the conjugate gradient method which generates a descent direction at every iteration. Yabe and...
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: Malaysian Journal of Fundamental and Applied Sciences
سال: 2017
ISSN: 2289-599X,2289-5981
DOI: 10.11113/mjfas.v13n2.540