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New nonlinear conjugate gradient methods based on optimal Dai-Liao parameters | ||
| Journal of Mathematical Modeling | ||
| مقاله 8، دوره 8، شماره 1، خرداد 2020، صفحه 21-39 اصل مقاله (368.27 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.14737.1338 | ||
| نویسنده | ||
| Saeed Nezhadhosein* | ||
| Department of Mathematics, Payame Noor University, Tehran 193953697, Iran | ||
| چکیده | ||
| Here, three new nonlinear conjugate gradient (NCG) methods are proposed, based on a modified secant equation introduced in (IMA. J. Num. Anal. 11 (1991) 325-332) and optimal Dai-Liao (DL) parameters (Appl. Math. Optim. 43 (2001) 87-101). Firstly, an extended conjugacy condition is obtained, which leads to a new DL parameter. Next, to set this parameter, we use three approaches such that the search directions be close to some descent or quasi-newton directions. Global convergence of the proposed methods for uniformly convex functions and general functions is proved. Numerical experiments are done on a set of test functions of the CUTEr collection and the results of these NCGs are compared with some well-known methods. | ||
| کلیدواژه‌ها | ||
| Unconstrained optimization؛ Modified secant equations؛ Dai-Liao conjugate gradient method | ||
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