top
logo

Login Form



Visitors Counter

mod_vvisit_counterToday52
mod_vvisit_counterYesterday67
mod_vvisit_counterThis week451
mod_vvisit_counterThis month2262
mod_vvisit_counterAll175115

Who's Online

We have 14 guests online

Home Members Ioannis E. Livieris A descent Dai-Liao conjugate gradient method based on a modified secant equation and its global convergence
Error
  • Error loading feed data.
  • Error loading feed data.
A descent Dai-Liao conjugate gradient method based on a modified secant equation and its global convergence PDF Print E-mail

I.E. Livieris and P. Pintelas, A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence, ISRN Computational Mathematics, 2012.

 

Abstract - In this paper, we propose a conjugate gradient method which is based on the study of the Dai-Liao conjugate gradient method. An important property of our proposed method is that it ensures sufficient descent independent of the accuracy of the line search. Moreover, it achieves a high-order accuracy in approximation the second order curvature information of the objective function by utilizing the modified secant condition proposed by Babaie-Kafaki (J. Comput. Appl. Math. 234:1374--1386, 2010). Under mild conditions, we establish that the proposed method is globally convergent for general functions provided that the line search satisfies the Wolfe conditions. Numerical experiments are also presented.

 

Search Engines




bottom
top

Department of Mathematics

Educational Software News

Call for papers

Newest Education Titles


bottom

Designed by Ioannis E. Livieris. | Validate XHTML | CSS