Araştırma Makalesi

Parameterized Three-Term Conjugate Gradient Method

Cilt: 3 Sayı: 1 17 Eylül 2020
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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. [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. [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. [3] N. Andrei, An unconstrained optimization test functions collection, Adv. Model. Optim, 10(1) 2008, 147-161.
  4. [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. [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. [6] L. C.W. Dixon, Nonlinear optimization: A survey of the state of the art, Hatfield Polytechnic. Numerical Optimization Centre, 1973.
  7. [7] D. Dolan, J. Mor´e, Benchmarking optimization software with performance profiles, Math. Program., 91(2) 2002, 201-213.
  8. [8] K. Edwin, H. Stanilow, An introduction to optimization, Second Edition, Wiley and Sons, 2001.

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

Kaynak Göster

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