Araştırma Makalesi

Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems

Cilt: 1 Sayı: 2 21 Ocak 2019
  • Khalil Abbo *
  • Hassan . Ibrahim
  • İsam Albayaty
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EN

Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems

Abstract

In this paper, we Proposed  a new three–term Conjugate Gradient (CG) method is suggested, the derivation of the method based on the descent property and conjugacy condition, the global convergence property is analyzed; numerical results indicate that the new proposed CG-method is well compared against other similar CG-methods in this field.

Keywords

Kaynakça

  1. [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

Kaynak Göster

APA
Abbo, K., . Ibrahim, H., & Albayaty, İ. (2019). Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems. Journal of Multidisciplinary Modeling and Optimization, 1(2), 82-90. https://izlik.org/JA89MH49GA
AMA
1.Abbo K, . Ibrahim H, Albayaty İ. Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems. jmmo. 2019;1(2):82-90. https://izlik.org/JA89MH49GA
Chicago
Abbo, Khalil, Hassan . Ibrahim, ve İsam Albayaty. 2019. “Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems”. Journal of Multidisciplinary Modeling and Optimization 1 (2): 82-90. https://izlik.org/JA89MH49GA.
EndNote
Abbo K, . Ibrahim H, Albayaty İ (01 Ocak 2019) Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems. Journal of Multidisciplinary Modeling and Optimization 1 2 82–90.
IEEE
[1]K. Abbo, H. . Ibrahim, ve İ. Albayaty, “Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems”, jmmo, c. 1, sy 2, ss. 82–90, Oca. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA89MH49GA
ISNAD
Abbo, Khalil - . Ibrahim, Hassan - Albayaty, İsam. “Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems”. Journal of Multidisciplinary Modeling and Optimization 1/2 (01 Ocak 2019): 82-90. https://izlik.org/JA89MH49GA.
JAMA
1.Abbo K, . Ibrahim H, Albayaty İ. Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems. jmmo. 2019;1:82–90.
MLA
Abbo, Khalil, vd. “Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems”. Journal of Multidisciplinary Modeling and Optimization, c. 1, sy 2, Ocak 2019, ss. 82-90, https://izlik.org/JA89MH49GA.
Vancouver
1.Khalil Abbo, Hassan . Ibrahim, İsam Albayaty. Three-Term Conjugate Gradient Algorithm For Solve Unconstrained Optimization Problems. jmmo [Internet]. 01 Ocak 2019;1(2):82-90. Erişim adresi: https://izlik.org/JA89MH49GA