Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems
Abstract
Keywords
Kaynakça
- [1]] N. Andrei, An unconstrained optimization test function collection, Adv. Model. Optim., 10(1) 2008, 147-161.[2] N. Andrei, A simple three-term conjugate gradient algorithm for unconstrained optimiza-tion, J. Comput. Appl. Math., (241) 2013, 19–29.[3] I. Bongartz, A. Conn, N. Gould and P. Toint, Constrained and unconstrained testing envi-ronment, J. Optim. Theory Appl., 21(1), 1993, 123–160 [4] J. Dennis and J. More, Quasi-Newton methods, motivation and theory, SIAM Rev., 19(1) 1977, 46-89.[5] D. Dolan and J. Moré, Benchmarking optimization software with performance profiles, Math. Program., 91(2) 2002, 201-213.[6] R. Fletcher, Practical Methods of Optimization (second edition), John Wiley and Sons, New York, 1987.[7]M. Hestenes and E. Stiefel, Methods of conjugate Gradients For solving linear systems, J. Res. Nat. Bur. Stand., 49(1) 1952.[8] L. Nazareth, A conjugate direction algorithm without line search, J. Optimiz. Theory App., 23(3) 1977, 373-387. [9] D. Shanno, Conjugate gradient methods with inexact searches, Math. Oper. Res., 3(3) 1978, 244-256.[10] J. Zhang, Y. Xiao and Z. Wei, Nonlinear conjugate gradient methods with sufficient de-scent condition for large-scale unconstrained optimization. Math. Probl. Eng., 2009. Doi: 10.1155/2009/243290.[11] L. Zhang and Y. Zhou, A note on the convergence properties of the original three-term Hestenes–Stiefel method, AMO-Advanced Modeling and Optimization, (14) 2012, 159–163. [12] L. Zhang, W. Zhou and D. Li, Some descent three-term conjugate gradient methods and their global convergence, Optim. Method Softw., 22(4) 2007, 697- 711. [13] I. H. Albayaty, New Version Of The Three-Term Conjugate Gradient Method For Solve Unconstrained Optimization, 2017. Doi:10.24327/ijrsr.2017.0805.0268
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Khalil Abbo
*
Bu kişi benim
Iraq
Hassan . Ibrahim
Bu kişi benim
Iraq
İsam Albayaty
Bu kişi benim
Iraq
Yayımlanma Tarihi
21 Ocak 2019
Gönderilme Tarihi
11 Kasım 2018
Kabul Tarihi
21 Ocak 2019
Yayımlandığı Sayı
Yıl 2018 Cilt: 1 Sayı: 2