A Global Convergence of LS-CD Hybrid Conjugate Gradient Method

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...

Global 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...

A Mixed Spectral CD-DY Conjugate Gradient Method

A 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...

The 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...