EN
Parameterized Three-Term Conjugate Gradient Method
Abstract
In this paper a new parameterized three-term conjugate gradient algorithm is suggested, the descent property and global convergence are proved for the new suggested method. Numerical experiments are employed to demonstrate the efficiency of the algorithm for solving large scale benchmark test problems, particularly in comparison with the existent state of the art algorithms available in the literature.
Keywords
Kaynakça
- [1] M. Al-Baali, Descent property and global convergence of the Fletcher Reeves method with inexact line search, IMA J. Numer. Anal., 5(1) 1985, 121-124.
- [2] N. Andrei, New Hybrid Conjugate Gradient Algorithms for Unconstrained Optimization . In: Floudas C., Pardalos P. (eds) Encyclopedia of Optimization, Springer, Boston, 2008, 2560-2571.
- [3] N. Andrei, An unconstrained optimization test functions collection, Adv. Model. Optim, 10(1) 2008, 147-161.
- [4] I. Bongartz, A. Conn, N. Gould and P. Toint, Constrained and unconstrained testing envi-ronment, J. Optim. Theory Appl., 21(1) 1993, 123-160.
- [5] Y. Dai, Y. Yuan, A nonlinear conjugate gradient method with a strong global convergence property, SIAM J. Optimiz., 10(1) 1999, 177-182.
- [6] L. C.W. Dixon, Nonlinear optimization: A survey of the state of the art, Hatfield Polytechnic. Numerical Optimization Centre, 1973.
- [7] D. Dolan, J. Mor´e, Benchmarking optimization software with performance profiles, Math. Program., 91(2) 2002, 201-213.
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
17 Eylül 2020
Gönderilme Tarihi
27 Aralık 2019
Kabul Tarihi
21 Ağustos 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 3 Sayı: 1
APA
Abbo, K., & Hameed, N. H. (2020). Parameterized Three-Term Conjugate Gradient Method. Journal of Multidisciplinary Modeling and Optimization, 3(1), 1-11. https://izlik.org/JA46TB45XG
AMA
1.Abbo K, Hameed NH. Parameterized Three-Term Conjugate Gradient Method. jmmo. 2020;3(1):1-11. https://izlik.org/JA46TB45XG
Chicago
Abbo, Khalil, ve Nehal H. Hameed. 2020. “Parameterized Three-Term Conjugate Gradient Method”. Journal of Multidisciplinary Modeling and Optimization 3 (1): 1-11. https://izlik.org/JA46TB45XG.
EndNote
Abbo K, Hameed NH (01 Eylül 2020) Parameterized Three-Term Conjugate Gradient Method. Journal of Multidisciplinary Modeling and Optimization 3 1 1–11.
IEEE
[1]K. Abbo ve N. H. Hameed, “Parameterized Three-Term Conjugate Gradient Method”, jmmo, c. 3, sy 1, ss. 1–11, Eyl. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA46TB45XG
ISNAD
Abbo, Khalil - Hameed, Nehal H. “Parameterized Three-Term Conjugate Gradient Method”. Journal of Multidisciplinary Modeling and Optimization 3/1 (01 Eylül 2020): 1-11. https://izlik.org/JA46TB45XG.
JAMA
1.Abbo K, Hameed NH. Parameterized Three-Term Conjugate Gradient Method. jmmo. 2020;3:1–11.
MLA
Abbo, Khalil, ve Nehal H. Hameed. “Parameterized Three-Term Conjugate Gradient Method”. Journal of Multidisciplinary Modeling and Optimization, c. 3, sy 1, Eylül 2020, ss. 1-11, https://izlik.org/JA46TB45XG.
Vancouver
1.Khalil Abbo, Nehal H. Hameed. Parameterized Three-Term Conjugate Gradient Method. jmmo [Internet]. 01 Eylül 2020;3(1):1-11. Erişim adresi: https://izlik.org/JA46TB45XG